Profit and loss set-1

  1. By selling 55 meters of cloth a merchant gains the cost price of 11 meters. Find his gain percent?

    a) 10%
    b) 15%
    c) 20%
    d) 30%
    e) None of these
    Answer – c) 20%
    Explanation :
    55sp – 55cp = 11cp, 55sp = 66cp
    let cost price is one rupee, then cp of 55 meter of cloth = 55 and sp of 55 meter of cloth = 66
    so % profit = (11/55)*100 = 20%

  2. A trader buys 1260 kg of wheat. One-fourth of which he sells at a gain of 5 percent, one-third at a gain of 8 percent and the remaining at a gain of 12 percent. If he had sold the whole lot at a gain of 10 percent, he would have gained Rs 40.95 more. Find the cost price per kg?
    a) 1
    b) 2
    c) 3
    d) 4
    e) None of these
    Answer – c) 3
    Explanation :
    Let cost price per kg = C, then
    [1260*c*110/100] – [(1260/4)*c*105/100 + (1260/3)*c*108/100 + (525*c)*112/100] = 40.95
    U will get C = 3

  3. If a trader estimates his loss as 10% of the selling price, what is his real loss percent?
    a) 100/9 %
    b) 100/11 %
    c) 100/13 %
    d) 100/7%
    e) None of these
    Answer – b) 100/11 %
    Explanation :
    (cp – sp)/sp = 10/100
    10cp = 11sp, now let cp = 1
    So cp of 11 items = 11 and sp = 10, loss percent = (1/11)*100 = 100/11 %

  4. What will be percentage profit after selling an article at a certain price if there is a loss of 30% when the article is sold at 1/3 of the previous selling price?
    a) 80%
    b) 90%
    c) 100%
    d) 110%
    e) None of these
    Answer – d) 110%
    Explanation :
    sp/3 = (70/100)*cp
    sp = (210/100)*cp
    now profit percent = [[(210/100)*cp – cp]/cp]*100 = 110

  5. A dealer sells a table for Rs 460 making a profit of 10%. He sells another table at a loss of 5% and on the whole he makes neither profit nor loss. What did the second table cost him
    a) 836
    b) 822
    c) 832
    d) 842
    e) None of these
    Answer – a) 836
    Explanation :
    no loss/ no profit means cp = sp i.e. cp1 + cp2 = sp1 + sp2
    sp1 = 460 = (115/100)*cp1
    sp2 = (95/100)*cp2
    (460*100)/115 + cp2 = 460 + (95/100)*cp2
    Cp2 = 836.36

  6. A farmer sold a goat and a cow for rupees 800 and got a profit of 20% on goat and 25% on cow. If he sells the goat and the cow for rupees 820, he gets a profit of 25% on goat and 20% on cow. Find the cost price of cow?
    a) 120.6
    b) 130.6
    c) 140.6
    d) 150.6
    e) None of these
    Answer – b) 130.6
    Explanation :
    let cost price of goat = a and cost price of cow = b
    800 = (120/100)*a + (125/100)*b
    820 = (125/100)*a + (120/100)*b
    Solve both equation to get a and b

  7. A shopkeeper bought 120 chairs at the rate of 250 each. He spends 3000 rupees on transportation. He marked the price of each chair at 400 rupee. On the marked price he gives 10% discount, and then find the profit incurred by the shopkeeper.
    a) 350/11%
    b) 340/11%
    c) 330/13%
    d) 330/11%
    e) None of these
    Answer – b) 340/11%
    Explanation :
    cost price of each chair = 250 + 3000/120 = 275
    selling price = 400*90/100 = 360
    % profit = [(360 – 275)/275]*100

  8. A milkman buys some milk. If he sells it at rupees 10 a litre, he losses 800 rupees but when he sells it at 12 a litre, he gains 600 rupees. How much milk did he purchase ?
    a) 200 litre
    b) 350 litre
    c) 500 litre
    d) 700 litre
    e) None of these
    Answer – d) 700 litre
    Explanation :
    let he buys x litres of milk and cost price = c and selling price = s
    x*c – x*10 = 800 and x*12 – x*c = 600
    add both equation, we get, 2*x = 1400, so x = 700 litres

  9. If a discount of 10 percent is given on the marked price of the article then the seller gains 20 percent profit. Find the percent profit if the article is sold at 20 percent discount.
    a) 10/3 %
    b) 20/3 %
    c) 25/3 %
    d) 40/3 %
    e) None of these
    Answer – b) 20/3 %
    Explanation :
    Let marked price = 100
    90 = (120/100)*cp, cp = 75
    Now discount = 20% so, SP = 80
    % profit = [(80 – 75)/75]*100 = 20/3

  10. A t what price must a trader sell the mixture of 60 kg sugar at Rs 7 per kg with 120 kg at Rs 8 per kg to gain 20%?
    a) 8.2
    b) 9.2
    c) 10.2
    d) 11.2
    e) None of these
    Answer – b) 9.2
    Explanation :
    Total cost = 60*7 + 120*8 = 420 + 960 = 1380
    sp (per kg) = (1380/180)*120/100 = 9.2
  11. A man purchases some apples at the rate of 3 for Rs 4 and same quantity at 4 for Rs 7. If he sells all the apples at the rate of 5 for Rs 9, find his gain or loss percent?
    a) 17% loss
    b) 17% gain
    c) 15% loss
    d) 15% gain
    e) None of these
    Answer – b) 17% gain
    Explanation :
    Let he buys x apples at the rate 4/3 and x apples at the rate of 7/4
    so cost price  = 4x/3 + 7x/4 = 37x/12
    and selling price = (9/5)*2x = 18x/5
    % gain = [(37x/12 – 18x/5)/(37x/12)]*100 = 17% (approx)

  12. A man buys some quantity of rice for Rs 4800. He sells one third of it at a profit of 10%. At what percent gain should he sell the remaining two-third so as to make an overall profit of 20% on the whole transaction?
    a) 10%
    b) 15%
    c) 20%
    d) 25%
    e) None of these
    Answer –d) 25%
    Explanation :
    (1/3)*4800*110/100 + (2/3)*4800*(x/100) = (120/100)*4800
    x = 125 so he should sell the remaining at 25% profit

  13. A dealer sold two ACs at Rs. 5940 each. On selling one AC he gained 10% and on selling the other he lost 10%. Find the dealer’s gain or loss percent?
    a) 1% gain
    b) 1% loss
    c) 2% loss
    d) 2% gain
    e) None of these
    Answer – b) 1% loss
    Explanation :
    5940 = (110/100)*cp1, cp1 = 5400
    5940 = (90/100)*cp2, cp2 = 6600
    So, CP = 5400 + 6600 = 12000
    And selling price = 5940 + 5940 = 11880
    % loss = (120/12000)*100 = 1

  14. A, B and C invests rupees 2000, 8000 and 10000 respectively in a business. At the end of the year the balance sheet shows a loss of 40% of the initial investment. Find the share of loss of B.
    a) 2200
    b) 2800
    c) 3000
    d) 3200
    e) None of these
    Answer – d) 3200
    Explanation :
    Total loss after one year = 20000*40/100 = 8000
    share of B = (4/10)*8000 = 3200

  15. A shopkeeper buys 60 cycles and marks them at 20% above the cost price. He allows a discount of 10% on the marked price for cash sale and 5% discount for credit sales. If three-fourth of the cycles are sold at cash and remaining for credit, the total profit be Rs. 11400. What is the cost price of a cycle?
    a) 1000
    b) 1500
    c) 2000
    d) 4000
    e) None of these
    Answer – c) 2000
    Explanation :
    Marked price = (120/100)*CP
    cash sales = 45 and credit sales =15
    (120/100)*cp*90/100*45 + (120/100)*cp*95/100*15 – 60*cp = 11400
    Cp = 2000

  16. A sold his bike to B at a loss of 20%. B spent rupees 1500 on its repair and sold the bike to C for 42000, thereby making a profit of 5%. Find the cost of bike for A?
    a) 44125
    b) 46125
    c) 48125
    d) 49715
    e) None of these
    Answer – c) 48125
    Explanation :
    Cost of A is CP,
    cost for B = (80/100)*cp + 1500
    selling price of B = 42000 = (105/100)*[(80/100)*cp + 1500]
    cp = 48125

  17. A wholesaler sells 30 pens at the marked price of 20 pens to the retailer. The retailer in turns sells them at the marked price. Determine the loss or gain percent?
    a) 25% gain
    b) 50% gain
    c) 50% loss
    d) 25% loss
    e) None of these
    Answer – b) 50% gain
    Explanation :
    SP of 30 pens = MP of 20 pens = x (let it is x)
    MP of one pen = x/20, he sells 30 pens at x/20, so SP = 3x/2
    Cp =x
    So % profit = [(3x/2 – x)/x]*100 = 50%

  18. A defective chair costing rupees 2000 is being sold at 10% loss. If the price is further reduced by 8 percent. Find its approximate selling price?
    a) 1556
    b) 1656
    c) 1756
    d) 1856
    e) None of these
    Answer – b) 1656
    Explanation :
    2000*90/100*92/100 = 1656

  19. A person saves 20 percent of his income. If the income of that person increased by 16 percent and he decided to save 25 percent, then find the percent increase in his saving as compared to previous one.
    a) 40%
    b) 45%
    c) 50%
    d) 55%
    e) None of these
    Answer – b) 45%
    Explanation :
    Let initial income = 100 so his saving is rupees = 20.
    Now his income is 116 and he save = 116*25/100 = 29
    So % increase in saving = (9/20)*100 = 45′

  20. The percent profit when an article is sold for rupees 400 is twice than when the same article is sold for 250. The cost price of the article is-
    a) 100
    b) 150
    c) 180
    d) 200
    e) None of these
    Answer – a) 100
    Explanation :
    400 = [(100+ 2p)/100]*cp
    250 = [(100 + p)/100]*cp
    Solve both equation, we will get CP = 100
  21. A toy is sold for Rs.336, if the % of profit is equal to cost price, then find CP ?
    1.137
    2.140
    3.135
    4.120
    5.None of these
    Answer – 2.140
    Explanation :
    (100+x)% of X = 336
    100x+x2 = 33600
    x2 +100x – 33600 = 0
    (x+240x)(x-140x) =0
    X = 140

  22. Shopkeeper purchased some goods for Rs.900 and sold one-third of the goods at a loss of  what 12%, then at gain % should the remainder goods he sold to gain 18% profit on the whole transaction ?
    1.31%
    2.26%
    3.33%
    4.18%
    5.None of these
    Answer – 3.33%
    Explanation :
    1/3rd at 12% loss = 900/3 =300*88/100 =264
    900*18/100 = 108 => 600+162+36 = 798
    198/600 *100 = 33%

  23. A bought ‘X’ quantity of pencils for Rs.500 and he sold 2/5 part for 5% loss and at which percent he must sell his rest of the quantity so that he would gain overall 10% profit ?
    1.10%
    2.20%
    3.17%
    4.15%
    5.None of these
    Answer – 2.20%
    Explanation :
    500*2/5 = 200
    5%L = 200*95/100 = 190
    500+10+(500*10/100) = 510+50 = 560
    60/500 * 100 = 20%

  24. A dealer marked the price of an item 20% above cost price. He allowed two successive discounts of 10% and 25% to a customer. A a result he incurred a loss of Rs.684. At what price did he sell the item to the customer ?
    1.1670
    2.2768
    3.1817
    4.2916
    5.None of these
    Answer – 4.2916
    Explanation :
    CP = 100
    MP = 120
    120*90/100 = 108; 108*75/100 = 81
    Loss = 100 – 81 = 19%
    CP = 100/19*684 = 3600
    SP = 3600*81/100 = 2916

  25. A man gains 15% by selling an article for a certain price. If he sells it at double the price, then the % of profit will be
    1.130%
    2.115%
    3.30%
    4.40%
    5.None of these
    Answer – 1.130%
    Explanation :
    CP = 100, 15% GAIN = 115
    SP = 230
    P = 230-100 = 130
    % = 130%

  26. A man went to shop to buy mobile for Rs.3500, the rate of sales tax being 8%. He tell the shopkeeper to reduce the price of mobile to such an extent that has to pay Rs.3500, inclusive of all taxes. Find the reduction price.
    1.Rs.210
    2.Rs.260
    3.Rs.320
    4.Rs.140
    5.None of these
    Answer – 2.Rs.260
    Explanation :
    3500*100/108 = 3240
    3500-3240 = 260

  27. An item was bought at Rs. X and sold at Rs.Y, thereby earning a profit of 15%. Had the value of X been 15% less and the value of Y been Rs.52 less, a profit of 20% would have been earned, What was the value of X ?
    1.650
    2.800
    3.400
    4.350
    5.None of these
    Answer – 3.400
    Explanation :
    x(1.15)=y———–1
    x(0.85)(1.2)=y-52——————-2
    Sub 1 in 2, and solve x
    (1.15)x-(1.02)x=52
    (0.13)x=52
    x=400

  28. An article passing threw two hands, is sold at profit of 40 % at the original price , if the first dealer makes a profit of 15 % , then the profit made by second dealer.
    1.25%
    2.26%
    3.18%
    4.22%
    5.None of these
    Answer – 4.22%
    Explanation :
    Total Profit = [P1 + P2 +(P1*P2/100)]
    40 = 15 + P2 + (15*P2)
    25-p2 = 15P2/100
    2500 = 15p2+100p2
    P2 = 2500/115 = 21.7% = 22%

  29. A boy  sells a Radio to B at a 10 % loss, B sells it to C at 25 % gain and C sells it to D at a loss of 8 %, if D pays Rs 1625 for it then how much does A pay for.
    1.Rs.1620
    2.Rs.1560
    3.Rs.1570
    4.Rs.1760
    5.None of these
    Answer – 3.Rs.1570
    Explanation :
    Cost price of A = 1625*[(100*100*100)/(90*125*92)] = 1570

  30. What is the maximum % discount that a man can offer on her MP so that he ends up selling at no profit or loss, if he had initially marked his goods up by 35% (approximately)?
    1.20%
    2.32%
    3.27%
    4.30%
    5.None of these
    Answer – 4.26%
    Explanation :
    35-x-(35*x/100) = 0
    3500/100 –(100x+35x/100) = 0
    35 = 135/100
    X = 35*100/135 = 25.9 = 26%
  31. A tradesman marks the price of his goods such that after allowing a discount of 25%, he earns a profit of 40%. What is the marked price of an article whose cost price is Rs.180?
    A.285
    B.336
    C.358
    D.375
    E.390
    Answer – B.336
    Explanation :
    S.P = (100+profit%)*cp /100 = 140*180/100 = 252
    M.P – 25% of M.P = SP
    X – 25/100 X = 252
    X = 336

  32. Sriram purchased 40 dozen notebooks at Rs. 50 per dozen. He sold 10 dozens of it at 15% profit and the remaining 30 dozens at 25% profit. What is his percentage profit in the whole transaction?
    A.18.8%
    B.20%
    C.22.5%
    D.25%
    E.28.5%
    Answer – C.22.5%
    Explanation :
    C.P = 4*50 = 2000
    S.P = 10*50*115 /100 + 30*50*125/100 = 2450
    Profit = 2450- 2000 = 450
    Profit% = 450/2000 * 100 = 22.5

  33. A dealer marked the price of an item 20% above cost price. He allowed two successive discounts of 20% and 25% to a customer. As a result he incurred a loss of Rs.812. At what price did he sell the item to the customer?
    A.1875
    B.2088
    C.2155
    D.2258
    E.None of these
    Answer – B.2088
    Explanation :
    CP = 100
    MP = 120
    120*80/100 = 96; 96*75/100 = 72
    Loss = 100 – 72 = 28%
    CP = 100/28*812 = 2900
    SP = 2900*72/100 = 2088

  34. An item was bought at Rs. X and sold at Rs.Y, thereby earning a profit of 20%. Had the value of X been 15% less and the value of Y been Rs.60 less, a profit of 20% would have been earned, What was the value of Y ?
    A.350
    B.400
    C.450
    D.500
    E.None of these
    Answer – B.400
    Explanation :
    x(1.2)=y———–1
    x(0.85)(1.2)=y-60——————-2
    Sub 1 in 2, and solve y
    Y=400

  35. A vendor sold two magazines namely A and B. He sold magazine ‘A’ at a loss of 30% and magazine ‘B’ at a profit of 35% but finally there is no loss or no gain. If the total Selling price of both magazines is Rs.572. Find the difference between the Cost Price of Magazine ‘A’ and ‘B’?
    A.Rs. 32
    B.Rs. 44
    C.Rs. 56
    D.Rs. 62
    E.None of the Above
    Answer – B.Rs. 44
    Explanation :
    30% of x = 35% of y ; x + y = 572
    x/y = 7/6
    Difference = Rs.44

  36. A man buys some quantity of rice for Rs 5100. He sells one third of it at a profit of 10%. At what percent gain should he sell the remaining two-third so as to make an overall profit of 20% on the whole transaction?
    A.10%
    B.15%
    C.20%
    D.25%
    E.None of these
    Answer – D.25%
    Explanation :
    10………………….X
    …………20……………
    x-20…………….10
    1:2
    X=25

  37. Ravi found that he had made a loss of 10% while selling his smartphone. He also found that had he sold it for Rs.100 more, he would have made a profit of 10%. The initial loss was what percentage of the profit earned, had he sold the smartphone for a 10% profit ?
    A.100%
    B.118%
    C.75%
    D.85%
    E.None of the Above
    Answer – A.100%
    Explanation :
    Profit= 10%
    10% of CP = Rs. 100
    CP = Rs. 1000
    Now, Loss% = 10%
    Loss =Rs. 100
    Required % = (100/100)*100 = 100%

  38. A, B and C invests rupees 8000, 12000 and 10000 respectively in a business. At the end of the year the balance sheet shows a loss of 40% of the initial investment. Find the share of loss of B.
    A.4000
    B.4500
    C.4800
    D.5000
    E.None of these
    Answer – C.4800
    Explanation :
    Total loss after one year = 30000*40/100 = 12000
    share of B = (40/10)*12000 = 4800

  39. Deepika buys two bangle set for a total cost of Rs. 600. By selling one bangle set for 4/5 of its cost and the other for 5/4 of its cost, She makes a profit of Rs. 96 on the whole transaction. The cost of the lower priced bangle set is?
    A.Rs. 360
    B.Rs. 320
    C.Rs. 150
    D.Rs. 120
    E.None of these
    Answer – D.Rs. 120
    Explanation :
    CP of 1st bangle set = x
    CP of 2nd bangle set = 600-x
    SP of 1st bangle set = 4x/5
    SP of 2nd bangle set=(600-X)5/4
    Profit=SP-CP
    96=4x/5+(600-X)5/4-600
    X = 120
    Shortcut:
    -20…………………25
    ………….16…………………
    9………………………36
    1 : 4
    5 = 600
    1 = 120

  40. A milkman buys some milk. If he sells it at rupees 10 a litre, he losses 400 rupees but when he sells it at 12 a litre, he gains 800 rupees. How much milk did he purchase?
    A.400 litre
    B.550 litre
    C.600 litre
    D.800 litre
    E.None of these
    Answer – C.600 litre
    Explanation :
    10x=s-400
    12x=s+800
    2x=1200
    X=600
  41. Arun went to buy an Android mobile, the shopkeeper told him to pay 20% tax if he asked the bill. Arun manages to get the discount of 5% on the actual sale price of the mobile and he paid the shopkeeper Rs. 8550 without tax. Besides he manages to avoid to pay 20% tax on the already discounted price, what is the amount of discount?
    A.2685
    B.2636
    C.2250
    D.2675
    E.2690
    Answer – C.2250
    Explanation :
    CP = 100, SP (with tax) =120
    New SP = 100 – 5 = 95
    Discount = 120 – 95 = 25
    Discount = 25/95 * 8550 = 2250

  42. Cost Price of two mobiles is same. One is sold at a profit of 20% and the other for Rs. 5200 more than the first. If the net profit is 40%. Find the cost price of each mobile?
    A. Rs. 13000
    B. Rs. 12000
    C. Rs. 16000
    D. Rs. 12500
    E. None of these
    Answer – A. Rs. 13000
    Explanation:
    CP of each mobile be Rs.x then
    (2 x 1.20 x x) + 5200 = 2 x 1.4 x N
    ⇒ 0.4 x = 5200
    ∴ N = 13000

  43. Rahul sells his laptop to Ravi at a loss of 20% who subsequently sells it to Suresh at a profit of 25%. Suresh after finding some defect in the laptop, returns it to Ravi but could recover only Rs.4.50 for every Rs. 5 he had paid. Find the amount of Suresh’s loss if Rahul had paid Rs.50,000 for the laptop ?
    A. Rs.6000
    B. Rs.7000
    C. Rs.2000
    D. Rs.5000
    E. None of these
    Answer – D. Rs. 5000
    Explanation :
    0.50/5 * 50,000 = 5000

  44. A reduction of 20% in the price of sugar enables a housewife to purchase 6 kg more for Rs. 240. What is original price per kg of sugar?
    A. Rs.10 per Kg
    B. Rs.8 per Kg
    C. Rs.6 per Kg
    D. Rs.5 per Kg
    E. None of these
    Answer – A. Rs.10 per Kg
    Explanation :
    Explanation:
    Reduction in price = 1/5 = 20%
    Increase in Quantity = 25%
    25% = 6 Kg.
    original amount of Sugar = 6*4 = 24Kg.
    Original price of the sugar = 240/24 = Rs. 10 per kg.

  45. A Bike is available at 40% discount at show room “A” and the same is available at only 25% discount at show room “B”. Mr. Arun has just sufficient amount of Rs. 60,000 to purchase it at show room “A”. What is the amount that Mr. Arun has less than the required amount to purchase it at that show room “B”?
    A. Rs. 70000
    B. Rs. 50000
    C. Rs. 10000
    D. Rs. 15000
    E. None of these
    Answer – D. Rs. 15000
    Explanation :
    Let the marked price be x.
    Cost price (CP) = 40 % discount on MP = 0.6y = 60000
    ⇒ y= Rs.100000 MP
    SP at Show Room “A” = Rs. 60000
    SP at Show Room “B” = 100000 X 0.75 = 75000; Difference = 15000

  46. Person A sold his car to Person B at a profit of 20% and B sold it to C at a profit of 10%. Person C sold it to mechanic at a loss of 9.09%. Mechanic spent 10% of his purchasing price and then sold it at a profit of 8.33% to Person “A” once again. What is the loss of person “A”?
    A. 23%
    B. 29%
    C. 50%
    D. 40%
    E. None of these
    Answer – A. 23%
    Explanation :
    A:
    CP = 100
    SP = 120
    B:
    CP = 120
    SP = 132
    C:
    CP = 132
    SP = 120
    Mechanic:
    CP = 120 + 12 = 132
    SP = 143
    Loss of A = 143 – 120 = 23
    % loss of A = (23 / 100) x 100 = 23%

  47. A and B are two partners and they have invested Rs. 54,000 and Rs. 90,000 in business. After one year A received Rs 1200 as his share of profit out of total profit of Rs. 4200 including his certain commission on total profit since he is a working partner and rest profit is received by B. What is the commission of A as a percentage of the total profit?
    A. 1200
    B. 1100
    C. 1500
    D. 1250
    E. None of these
    Answer – A. 1200
    Explanation :
    Explanation:
    Ratio of profit of A : B (excluding commission of A) = 54000 : 90000 =>3 : 5
    Now the share of profit of B = 4200 – 1200 = Rs. 3000
    So the share of profit A (excluding commission) = Rs. 1800
    So the commission of A = 3000 – 1800 = 1200

  48. A shopkeeper bought 150 pen drives at the rate of Rs. 500 per pen drive. He spent Rs. 500 on transportation and packing. If the marked price of pen drive is Rs. 520 per pen drive and the shopkeeper gives a discount of 5% on the marked price then what will be the percentage profit gained by the shopkeeper?
    A. 4.5%
    B. 5.5%
    C. 3.8%
    D. 1.2%
    E. None of these
    Answer – C. 3.8%
    Explanation :
    C.P. of 150 calculators = 150 x 500 = Rs. 75000
    ∴ Total C.P. = 75000 + 500 = Rs. 75500
    Marked price of 150 calculator = 150 x 570 = Rs. 82500
    Selling price after discount = 82500 x 95 / 100 = Rs. 78375
    ∴ percentage profit = [(78375 – 75500) / 75500] x 100 = 3.8%

  49. A vendor has two types of grapes. One is the fresh grapes containing 80% water and dry grapes containing 25% water. He sells 20 kg dry grapes, by adding water to the dry grapes, at cost price. What is the total profit percentage when after adding water the weight of 20 kg dry grapes increase in the proportion of water in fresh grapes?
    A. 265%
    B. 200%
    C. 280%
    D. 275%
    E. None of these
    Answer – D. 275%
    Explanation :
    Fresh grapes
    Water: Pulp = 80% : 20% = 4 : 1
    Dry grapes
    Water: Pulp = 25% : 75% = 1 : 3
    So out of 20 kg dry grapes, Water : Pulp = 5 kg : 15 kg
    After adding of water the ratio of water : pulp is same as the fresh grapes = 4 : 1
    After adding water the quantity of Water and Pulp are 60 kg and 15 kg respectively.
    % = 55/20 * 100 = 275%

  50. Pinkey and Shalini invested some amount of money in the ratio of 3:5 for the same period in the business. They decided that at the end of the year 20% profit was to be given to an organization as a donation. Out of the remaining, 75% was to be reinvested and the rest of the profit was to be divided as interest on their capitals. If the difference in their share is Rs. 2400. What is the total profit?
    A. 49800
    B. 49400
    C. 48000
    D. 49500
    E. None of these
    Answer – C. 48000
    Explanation :
    Let the total profit = 100
    Amount left after donation = 50
    Amount left after reinvestment = 20
    Now, 5x/8 – 3x/8 = 2400
    ⇒ 2x/8 = 2400  = 9600
    ⇒ 1/5 of y = 9600 => y = 48000
  51. The profit earned after selling an article for Rs. 1680 is the same as the loss incurred after selling the article for Rs. 1512. What is the cost price of the article?
    A.Rs.1602
    B.Rs.1912
    C.Rs.1200
    D.Rs.1596
    E.None of these
    Answer – D.Rs.1596
    Explanation :
    CP = x
    1680 – x = x – 1512
    2x = 3192
    x = 1596

  52. Arun sells an article at 20% profit to Bala, Bala sells it to Catherine at 10% profit. Catherine sells it to Dinesh at Rs. 16 profit. The difference between the cost price of Dinesh and cost price of Arun was Rs. 500. How much did Bala pay to Arun for the article? 
    A. Rs.1350
    B. Rs.1815
    C. Rs.1650
    D. Rs.1750
    E. None of these
    Answer – B. Rs.1815
    Explanation:
    Cost Price of Arun = 100x
    Cost Price of Bala = 120x
    Cost Price of Catherine = 132x
    Cost Price of Dinesh = 132x + 16
    132x + 16 – 100x = 500
    32x + 16 = 500
    32x = 484
    x = 484/32 = 15.125
    Cost Price of Bala =120x = 120 * 15.125 = 1815

  53. Rahul purchased an article for Rs. 8400 and sold it for a loss of 5%. From that money he purchased another article and sold it for a gain of 5%. What is the overall gain or loss?
    A. Profit of Rs.21
    B. Profit of Rs.24
    C. Loss of Rs.21
    D. Loss of Rs.24
    E. None of these
    Answer – C. Loss of Rs.21
    Explanation :
    CP = 8400
    SP = 8400 * 95/100 = 7980
    CP = 7980
    SP = 7980 * 105/100 = 8379
    Difference = 8400 – 8379 = 21

  54. A Shop Keeper sells two bags for Rs. 500 each. On one, he gets 14% profit and on the other he gets 14% loss. His profit or loss in the entire transaction was?
    A. 64/25 % Gain
    B. 49/25 % Gain
    C. 64/25 % Loss
    D. 49/25 % Loss
    E. None of these
    Answer – D. 49/25 % Loss
    Explanation :
    % = x
    Loss % = x²/100 = 196/100 = 49/25%

  55. A Shopkeeper bought 30 kg of rice at the rate of Rs. 40 per kg. He sold 40% of the total quantity at the rate of Rs. 50 per kg. At what price per kg should he sell the remaining quantity to make 25% overall profit?
    A. Rs.54
    B. Rs.50
    C. Rs.40
    D. Rs.30
    E. None of these
    Answer – B. Rs.50
    Explanation :
    Total CP of Rice = 30 * 40 = 1200
    40% of Total Quantity = 40% of 30 = 12
    SP = 12*50 = 600
    SP = 1200 * 125/100 = 1500
    SP of Remaining Quantity = 1500 – 600 = 900
    Remaining Quantity = 18kg
    Rice per Kg = 900/18 = Rs. 50

  56. If the Cost Price of 25 articles is equal to the Selling Price of 20 articles, then what is the gain %?
    A. 25%
    B. 29%
    C. 50%
    D. 40%
    E. None of these
    Answer – A. 25%
    Explanation :
    Gain % = (5 / 20) x 100 = 25%

  57. A TV was purchased for Rs. 54000. Its price was marked up by 40%.It was sold at a discount of 20% on the marked price. What was the profit percent of the cost price?
    A. 10%
    B. 11%
    C. 15%
    D. 12%
    E. None of these
    Answer – D. 12%
    Explanation :
    Explanation:
    40 – 20 + [40 * (-20)/100]
    = 20 – 8 = 12%

  58. A shopkeeper sold a smartphone for Rs.15000. Had he offered discount of 10% on the Selling Price, he would have earned a profit of 8%. What is the Cost Price of that Smartphone?
    A. 11300
    B. 11500
    C. 12500
    D. 12300
    E. None of these
    Answer – C. 12500
    Explanation :
    S.P of Smart Phone = Rs.15000
    Discount = 10%
    New SP = 15000 – 1500 = Rs. 13500
    Profit = 8%
    CP = 13500 * 100/108 = 12500

  59. Pinkey sold a machine to Shalini at a profit of 30%. Shalini sold this machine to Arun at a loss of 20%. If Pinkey paid Rs.5000 for this machine, then find the cost price of machine for Arun?
    A. 6200
    B. 5200
    C. 4800
    D. 4750
    E. None of these
    Answer – B. 5200
    Explanation :
    R1 = 30% R2 = 20%
    5000 * 130/100 * 80/100 = Rs. 5200

  60. A merchant earns a profit of 20% by selling a basket containing 80 Oranges whose cost is Rs.240 but he gives one-fourth of it to his friend at cost price and sells the remaining oranges. In order to earn the same profit, at what price must he sell each orange?
    A. Rs. 4.80
    B. Rs. 4.90
    C. Rs. 3.80
    D. Rs. 4.50
    E. None of these
    Answer – C. Rs. 3.80
    Explanation :
    CP of 80 Oranges = Rs.240
    CP of 1 Orange = Rs.3
    CP of 20 Oranges = Rs.60
    120% of 240 = 288
    SP of remaining 60 Oranges = 288 – 60 = 228
    SP of 1 Orange = 228/60 = Rs.3.80
  61. A retailer sold 12 notes at a profit of 20% and 8 notes at a profit of 10%. If he had sold all the 20 notes at a profit of 15%, then his profit would have been reduced by Rs.36. What is the cost price of each note?
    A.Rs.160
    B.Rs.190
    C.Rs.120
    D.Rs.180
    E.None of these
    Answer – D.Rs.180
    Explanation :
    Cost Price = x
    Total Profit = 12x * 20/100 + 8x * 10/100 = 32x/100 = 3.2x —(i)
    Total Profit = 20x * 15/100 — (ii)
    3.2x – 3x = 36
    0.2x = 36
    x = 180

  62. The profit Percentage on 3 bikes are 15%, 35% and 10% and the ratio of CP is 5:3:1. Also the ratio of the Bike sold of P, Q and R is 2:3:5. Then the overall approximate Profit Percentage is?
    A. 19%
    B. 20%
    C. 16%
    D. 21%
    E. None of these
    Answer – D. 21%
    Explanation:
    5x * 2y + 3x * 3y + x * 5y = 24xy
    Total Profit = (5x*2y*15/100)+(3x*3y*35/100)+(x*5y*10/100)
    = 515xy/100
    = 5.15xy
    Overall Profit Percentage = 5.15xy * 100/24xy = 21.46%

  63. When a shopkeeper reduces the selling price of an article from 1180 to 1126 his loss increases by 5% . What is the cost price of article?
    A. 1050
    B. 1060
    C. 1070
    D. 1080
    E. None of these
    Answer – D. 1080
    Explanation :
    5% of CP = 1180 – 1126
    CP = 54 * 100 / 5 = 1080

  64. A and B, there are two companies, selling the packs of cold-drinks. For the same selling price A gives two successive discounts of 10% and 25%. While B sells it by giving two successive discounts of 15% and 20%. What is the ratio of their marked price?
    A. 143 : 144
    B. 19 : 11
    C. 136 : 135
    D. 73 : 77
    E. None of these
    Answer – C. 136 : 135
    Explanation :
    A = 90/100*75/100
    = .675
    B = 85/100*80/100
    = .68
    680:675
    136:135

  65. A reputed company sells a wrist watch to a wholesaler making a profit of 10%. The wholesaler, in turn, sells it to the retailer making a profit of 10%. A customer purchases it by paying Rs. 990. Thus the profit of retailer is 2(3/11)% What is the cost incurred by the the company to produce it?
    A. 700
    B. 600
    C. 800
    D. 900
    E. None of these
    Answer – C. 800
    Explanation :
    x*110/100*110/100*(100 + 25/11)/100 = 990
    x = 800

  66. A and B both are dealers of Honda Motorcycles. The price of an used Honda Motorcycle is Rs.28,000. A gives a discount of 10% on whole, while B gives a discount of 12% on the first Rs. 20,000 and 8% on the rest Rs. 8000. What is the difference between their selling prices?
    A. Rs.240
    B. Rs.420
    C. Rs.640
    D. Rs.740
    E. None of these
    Answer – A. Rs.240
    Explanation :
    Discount offer by A = 10 % of 28000 = 2800
    Total Discount offer by B = 12% of 20,000 + 8% of 8000 = 3040
    Required difference = 3040 – 2800 = 240

  67. The profit percentage of P and Q is same on selling the articles at Rs. 1800 each but A calculates his profit on the selling price while Q calculates it correctly on the cost price which is equal to 20%. What is the difference in their profits?
    A. 40
    B. 50
    C. 60
    D. 70
    E. None of these
    Answer –C. 60
    Explanation :
    Explanation:
    Profit(Calculated on SP) = 20% of 1800 = 360
    Profit(calculated on CP)
    x + x/5 = 1800
    x = 1500
    Profit = 300
    Difference = 360 – 300 = 60

  68. A person sold a pen at Rs. 96 in such a way that his percentage profit is same as the cost price of the watch. If he sells it at twice the percentage profit of its previous percentage profit then new selling price will be?
    A. Rs.132
    B. Rs.150
    C. Rs.192
    D. Rs.180
    E. None of these
    Answer – A. Rs.132
    Explanation :
    CP = x
    Profit Percentage = x%
    SP = x(100 + x)/100
    x(100 + x)/100 = 96
    x = 60
    Profit Percentage = 60%
    New SP = 60 * 220 / 100 = 132

  69. A trader mixes 25% of solution A to his Solution B and then he sells the whole mixture at the price of Solution B. If the cost price of Solution A be 50% of the cost price of Solution B, what is the net profit percentage?
    A. 100/3%
    B. 200/7%
    C. 100/9%
    D. 200/3%
    E. None of these
    Answer – C. 100/9%
    Explanation :
    Quantity of Solution B = 100 litre
    Quantity of Solution A = 25 litre
    CP of 1 litre Solution B = Rs.10
    CP of 1 litre Solution A = Rs.5
    CP = 100 * 10 + 25 * 5 = 1125
    SP = (100 + 25)*10 = 1250
    Profit = 1250 – 1125 = 125
    % = 125 * 100 / 1125 = 100/9%

  70. A scientist mixes 10% water in his solution but he is not content with it so he again mixes 10% more water in the previous mixture. What is the profit percentage of the scientist if he sells it at cost price:
    A. 15%
    B. 21%
    C. 18%
    D. 16%
    E. None of these
    Answer – B. 21%
    Explanation :
    Let Initial Quantity of Solution = 100 litre
    After mixing 10% water, Quantity of the mixture = 110 * 110 / 100 = 121 litre
    CP of One litre of Solution = Rs.1
    Total CP = Rs.100
    Total SP = Rs.121
    Profit = 121 – 100 = 21
    Profit % = 21 * 100/100 = 21%
  71. Rahim went shopping to buy a Mobile, the shopkeeper asked him to pay 18% Tax if he wants a bill. If not you can get 7% discount on the actual price of the mobile. Then Rahim decided not to take the bill and paid Rs. 4650. By this how much money could Rahim saved on purchasing mobile?
    1. Rs.250
    2. Rs.350
    3. Rs.650
    4. Rs.850
    5. Rs.1250
    Answer – 5. Rs.1250
    Explanation:
    SP*93/100 = 4650
    SP = 5000
    Including tax= 5000+900 = 5900
    Saving = 5900-4650 = 1250

  72. A seller bought 2750 Mangoes and 1210 Apples at the same price. He sells in such a way that he can buy 406 Mangoes with the sale of 322 Mangoes and he can buy only 289 Apples with the sale of 391 Apples. Then what is the overall profit percentage made by him?
    1. 0%
    2. 2%
    3. 5%
    4. 6%
    5. 10%
    Answer – 1. 0%
    Explanation:
    Cost of 2750 Mangoes = 1210 Apples
    Total cost = 2420 Apples
    Given: 406 = 322(100+x/100)
    x = 6/23%
    Given: 289 = 391(100+y/100)
    y = 6/23% loss
    Overall profit:
    2750 Mangoes*(100+6/23/100) +1210 Apples*(100-6/23/100) = 2420*Apples (100+P/100)
    1210 Apples*(100+6/23/100) +1210 Apples*(100-6/23/100) = 2420*Apples (100+P/100)
    P = 0%

  73. Aryan sold a repair mobile to Bhaskar at a profit of 30% and Bhaskar sold it to Chandu at a profit of 20%. Chandu sold it to Dinesh at a loss of 23.07%. Dinesh repaired the mobile by spending 5% of his purchasing price and then sold it again to Aryan at a profit of 3.17%.Then what is the loss of Aryan?
    1. 5%
    2. 10%
    3. 15%
    4. 20%
    5. No Loss No Profit
    Answer – 5. No Loss No Profit
    Explanation :
    Aryan
    Let CP = 100
    SP = 130
    Bhaskar = 156
    Chandu = 120
    Dinesh = 126+3.17% = 130
    Aryan = 130-130 = 0

  74. The ratio selling prices three articles A, B, and C is 29:27:32., the ratio of percentage profit is 4:2:5, respectively. If the cost price of article A is equal to B and the cost price of article C is Rs. 480. Then what is the overall gain?
    1. 10%
    2. 12%
    3. 15%
    4. 18%
    5. 19%
    Answer – 3. 15%
    Explanation :
    29y/27y = (100+4x/100+2x)
    x = 4
    % are 16%,8%,20%
    32y = 480(120/100)
    y =18
    SP’s are 522,486,576
    CP of A
    29*18 = CP (116/100)
    CP =450
    CP’s are 450,450 and 480
    Overall gain =
    1584 =1380(100+g/100)
    g =15%

  75. Swati went shopping to buy a watch with some money. She selected a watch, which is marked Rs.400 higher price than the money she had. But shopkeeper gave two successive discounts of 10% and 15% respectively on the marked price of the watch. Then she could buy that watch and also another watch worth Rs.540 with all the money she had. Then what is the marked price on the first watch?
    1. Rs.3060
    2. Rs.3600
    3. Rs.4000
    4. Rs.4200
    5. Cannot be determined
    Answer – 3. Rs.4000
    Explanation :
    (x+400)*90/100*85/100+540 =x
    x = 3600
    MP = 3600+400 = 4000

  76. A trader sells Rice to a customer at a profit of x% over the cost price, besides if he cheats his customer by giving 950 g instead of 1Kg. Thus his overall percentage is 20%. Then what is the value of x?
    1. 10
    2. 12
    3. 14
    4. 15
    5. 20
    Answer – 3. 14
    Explanation :
    1000*(100+x/100) = 950*120/100
    x = 14%

  77. A trader sells two varieties of Rice A and B. He Mixes 12 Kg of A with 16 kg of B, and by selling this mixture at price of B Rice he gets 20% profit. If the price of A variety Rice is Rs.66/Kg, then what is the price of B variety /Kg.
    1. Rs.72
    2. Rs.84
    3. Rs.96
    4. Rs.108
    5. None
    Answer –4. Rs.108
    Explanation :
    Explanation:
    120/100*(12*66+16B) = 28*B
    B = 108

  78. Akash bought a Sopha for Rs. 50,000. After one year he sold it to Bhuvan at 10% less of his cost price. Bhuvan spends extra Rs.600 for its repair. And offered Sopha to Charan for Rs.X. Charan requested to get a discount of 15% on that price. But Bhuvan gave him two successive discounts of 10% and 5% instead of 15%.By this Bhuvan got Rs.300 more from Charan. What is the profit % of Bhuvan?
    1. 10%
    2. 12.5%
    3. 15%
    4. 20%
    5. None
    Answer – 2. 12.5%
    Explanation :
    x*(90/100*95/100 – 85/100) = 300
    x =60,000
    Now Charan purchased for 60,000*90/100*95/100 = 51300
    Bhuvan CP =45000+600 =45600
    51300 = 45600*(100+p/100)
    p = 12.5%

  79. A mobile of Rs.8000 was offered 20% discount on Diwali by Flipkart. Shriya availed the offer and she got additional 10% by paying through Debit card. After that, she spent 10% of the purchased price for buying Screen guard and Back Cover. At what price she should sell to Sravani the Mobile (with screen guard and Back Cover)to incur a loss of 25%?
    1. 4752
    2. 5140
    3. 5422
    4. 5760
    5. None
    Answer – 1. 4752
    Explanation :
    Solution:
    8000*80/100*90/100 = 5760
    Back cover+screen guard =576
    Total = 6336
    Sravani = 6336*75/100 = 4752

  80. The ratio selling prices three articles A, B, and C is 19:25:27., the ratio of percentage profit is 7:10:4, respectively. If the cost price of article A and B is 400 and 500 respectively. Then what is the total Selling price of all three articles?
    1. Rs.1644
    2. Rs.1674
    3. Rs.1694
    4. Rs.1704
    5. None
    Answer – 4. Rs.1704
    Explanation :
    400*(1+7x/100)/ 500*(1+10x/100) = 19/25
    x = 2
    Profit percentages = 14%, 20% and 8%
    19*y = 400*114/100
    y = 24
    Total SP = (19+25+27)*24 = 1704
  81. A milkman buys two cows for Rs. 3000. He sells first cow at a profit of 22% and the second cow at a loss of 8%. What is the SP of second cow if in the whole transaction there is no profit no loss?
    1) Rs. 2312
    2) Rs. 2024
    3) Rs. 2484
    4) Rs. 2532
    5) None of these
    Answer – 2) Rs. 2024
    Explanation:
    Profit and loss Q1

  82. Sum of CP’s of two cows is Rs. 39, 000. Both the cows are sold at a profit of 20% and 40% respectively with their SP’s being the same. What is the difference of CP’s of both the cows?
    1) Rs. 3,000
    2) Rs. 2, 000
    3) Rs. 1, 500
    4) Rs. 2, 500
    5) None of these
    Answer – 1) Rs. 3,000
    Explanation:
    Profit and loss Q2

  83. A shopkeeper sells his gods at its CP only. But he uses 650 g weight at the place of 1000 g weight for a kg. What is his net profit percentage?
    1) 55%
    2) 20 1/3%
    3) 49 2/3%
    4) 53 11/13%
    5) None of these
    Answer – 4) 53 11/13%
    Explanation:
    soln

  84. A seller calculated his intended selling price at 6% profit on the cost of a product. However, owing to some mistake while selling, the units and tens digits of the selling price got interchanged. This reduced the profit by Rs. 180 and profit percentage to 2.4%. What is the cost price of the product?
    1) Rs. 4500
    2) Rs. 5000
    3) Rs. 4750
    4) Rs. 6000
    5) None of these
    Answer – 2) Rs. 5000
    Explanation:
    Profit and loss Q4

  85. Jim sells a book to Carrey at a profit of 20% and Carrey sells this book to Sid at a profit of 25%. Now Sid sells this book at a loss of 10% to Simba. At what percentage loss should Simba sells this book now so that his SP becomes equal to Jim’s CP?
    1) 26.68%
    2) 25.92%
    3) 58.66
    4) Cannot be determined
    5) None of these
    Answer – 2) 25.92%
    Explanation:
    Profit and loss Q5

  86. A fruit vendor professes to sell fruits at the cost price, but uses false weights. He gains 40% in this manner. What weight does he substitute for one kilogram?
    1) 745 1/3 g
    2) 750 g
    3) 714 2/7 g
    4) 800 g
    5) None of these
    Answer – 3) 714 2/7 g
    Explanation:
    Profit and loss Q6

  87. A shopkeeper marks up his goods by 20% and then gives a discount of 20%. Besides he cheats both his supplier and customer by 100 g, i.e., he takes 1100 g from his supplier and sells only 900 g to his customer. What is his net profit percentage? (Rounded off to two decimal points)
    1) 24.5%
    2) 17.33%
    3) 25%
    4) 32.5%
    5) None of these
    Answer – 2) 17.33%
    Explanation:
    Profit and loss Q7

  88. Some mangoes are purchased at the rate of 8 mangoes/Rs and some more mangoes at the rate of 6 mangoes/Rs, investment being equal in both the cases. Now, the whole quantity is sold at the rate of 3.5 mangoes/Rs What is the net percentage profit/loss?
    1) 100% profit
    2) 60% loss
    3) 80% loss
    4) no profit/no loss
    5) None of these
    Answer – 1) 100% profit
    Explanation:
    Profit and loss Q8

  89. A man would gain 25% by selling a chair for Rs. 47.5 and would gain 15% by selling a table for Rs. 57.5. He sells the chair for Rs. 45; what is the least price for which he must sell the table to avoid any loss on the two together?
    1) Rs. 41.2
    2) Rs. 48.5
    3) Rs. 42.5
    4) Rs. 43
    5) Cannot be determined
    Answer – 4) Rs. 43
    Explanation:
    Profit and loss Q9

  90. A bookseller marks his books at an advance of 69% on the actual cost of producton He allows a discount of 15% and also given a copy free for every dozen sold aa time. What rate per cent profit does the book seller make, if books are sold in lots of 24? (find the approximate value)
    1) 38%
    2) 47%
    3) 24%
    4) None of these
    5) Cannot be determined
    Answer – 1) 38%
    Explanation:
    Profit and loss Q10
  91. A manufacture undertakes to supply 2000 pieces of a particular component at Rs.25 per piece. According to his estimates, even if 5% fail to pass the quality tests, then he will make a profit of 25%. However as it turned out, 50% of the components were rejected. What is the loss to the manufacture? [TCS recruitment exam question]
    A. Rs 12,000
    B. Rs 13,000
    C. Rs 14,000
    D. Rs 15,000
    E. None f these
    Answer – B. Rs 13,000
    Explanation:
    5% of 2000=100 so 2000-100=1900 so,if he sells 1900 he will get 25% profit
    cost per piece rs 25……so 25x 1900 don’t solve here
    if 125%…………………..25×1900
    100 %………………….?
    ?= 25x1900x100/125=38000=CP
    if 50% rejected,only 1000 pieces sold
    so 1000×25=25000=SP
    loss=cp-sp= 38000-25000=13000



  92. Shan bought 30 liters of milk at the rate of Rs.8 per liter. He got it churned after spending Rs.10 and 5kg of cream and 30 liter of toned milk were obtained. If he sold the cream at Rs.30 per kg and toned milk at Rs.4 per liter, his profit in the transaction is:
    A. 20%
    B. 8%
    C. 30%
    D. 40%
    Answer – B .8%
    Explanation:
    CP =Rs.(30 x 8 + 10) = Rs.250
    SP = Rs. (30 x 5 + 30 x 4) = Rs.270
    Gain% = (20/250 x 100)% = 8%


  93. The sale price of an article including the sale tax is Rs. 616. The rate of sale tax is 10% . If the shopkeeper has made a profit of 12%, the cost price of the article is [The Pearson Guide book]
    A. Rs 500
    B. Rs 515
    C. Rs 550
    D. Rs 600
    Answer – A. Rs 500
    Explanation – 110% of S.P. = 616
    = S.P. = Rs.(616 x 100/110) = Rs.560.
    C.P. = Rs (100/112 x 560)
    = Rs 500



  94. When a article is sold for Rs.3400, there is a loss of 2%. What is the cost price of the commodity?
    A. Rs 3500.50
    B. Rs 3200
    C. Rs 3400.56
    D. Rs 3469.34
    Answer – D. Rs 3469.34
    Explanation – loss=2% so,
    98%………….3400
    100%………..?
    ?=(3400×100)/98=3469.34


  95. The marked price of a watch was Rs. 720.A man brought the same for Rs.550.80 after getting two successive discounts the first being 10% .What was the second discount rate?
    A. 12%
    B. 14%
    C. 15%
    D. 18%
    Answer – C. 15%
    Explanation – Let the second discount rate be x% Then,
    (100 – x)% of 90% of 720 = 550.80
    => (100 – x)/100 x 90/100 x 720 = 550.80
    = (100-x) = [55080/(9 x 72) = 85
    => x= 15
    second discount rate =15%



  96. Jagdeep bought a refrigerator with 20% discount on the labeled price. Had he bought at it with 30% discount, he would have saved Rs. 500 more. At what price did he buy the refrigerator?
    A. Rs 5000
    B. Rs 10,000
    C. Rs 12,500
    D. Rs 15,000
    Answer – A. Rs 5,000
    Explanation – Let the labelled price be Rs.x Then,
    (80% of x)- (70% of x) = 500
    10% of x =500
    10%………..500
    100%…………? ?= (500 x 100/10) = 5000=x



  97. If the S.P of Rs.40 results in a 20% discount on list price. What S.P would result in a 30% discount on list price?
    A. Rs 18
    B. Rs 20
    C. Rs 35
    D. Rs 27
    Answer – C. Rs 35
    Explanation – Let the list price be Rs. x
    80/100x = 40
    => x = 40 x 100/80 = 50
    ∴ Required S.P. = 70% of Rs. 50=Rs.35



  98. A discount of 25% on one article is same as a discount of 50% on another article .The costs of two article can be:
    A. Rs 30, Rs 20
    B. Rs 90, Rs 40
    C. Rs 80, Rs 40
    D. Rs 50, Rs 40
    Answer – C. Rs 80, Rs 40
    Explanation – Let the costs of the two articles be x and y. Then,
    25% of x = 50% of y
    => x/y = 50/25 = 2/1
    So,x and y must be in the ratio of 2:1



  99. A article is listed at Rs. 2000 and a discount of 20% is offered on the list price .What additional discount must be offered to the customer bring the net price to Rs. 1400?
    A. 12.5%
    B. 10%
    C. 12%
    D. 15%
    Answer – A. 12.5%
    Explanation – S.P after 1st discount,
    100%………2000
    80%………?
    ?=2000×80/100=1600
    Net S.P = Rs. 1400.
    Discount on Rs. 1600 = Rs. 200.
    ∴Required discount = (200/1600 x 100)% =12.5%



  100. A shopkeeper gives 12% additional discount on the discounted price, after giving an initial discount of 20% on the labeled price of a mobile. If the final sale price of the mobile is 704. then what is its labelled price?
    A. Rs 844
    B. Rs 920
    C. Rs 1000
    D. Rs 1100
    Answer – C. Rs 1000
    Explanation – Let the labeled price be Rs. x
    88% of 80% of x = 704
    => x = (704 x 100 x 100/88 x 80)= 1000.



  101. The difference between the cost price and sale price of an article is Rs. 500 if the profit is 20%. The selling price is:
    A. Rs 4000
    B. Rs 1500
    C. Rs 3000
    D. Rs 3300
    Answer – C. Rs.3000
    Explanation – 120%-100%=20%
    20%…………………500
    120%…………….?
    ?=3000


  102. A dealer sold a Radio at a loss of 2.5%. Had he sold it for Rs. 100 more, he would have gained 7.5%. To gain 12.5% he should sell it for :
    A. Rs 2200
    B. Rs 1000
    C. Rs 1100
    D. Rs 1125
    Answer – D. Rs.1125
    Explanation – Let C.P be Rs.x then,(107.5 % of x) – (97.5 % of x) = 100
    => 10% of x = 100
    => x =1000
    ∴ desired S.P = 112.5 % of Rs. 100
    = Rs.(225/2 x 1/100 x 1000) =Rs. 1125

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