Profit and Loss


  1. A man buys two hens for Rs. 500 each. He sod one for 15% profit and other for 5% loss. Find his profit percentage ?









  1. View Hint View Answer Discuss in Forum

    SP. of first hen = (115/100) x 500 = Rs. 575
    SP of second hen = (95/100) x 500 = Rs. 475
    Total SP = 575 + 475 = Rs. 1050
    Total CP = 2 x 500 = Rs. 1000
    Gain = SP - CP = (1050 - 1000) = Rs. 50

    Correct Option: A

    SP. of first hen = (115/100) x 500 = Rs. 575
    SP of second hen = (95/100) x 500 = Rs. 475
    Total SP = 575 + 475 = Rs. 1050
    Total CP = 2 x 500 = Rs. 1000
    Gain = SP - CP = (1050 - 1000) = Rs. 50
    Gain percentage = (50/1000) x 100 = 5%


  1. A person purchases 100 pens at a discount of 10% . The net amount of money spent by the person to purchase the pens is ₹ 600. The selling expenses incurred by the person are 15% on the net cost price. What should be the selling price for 100 pens in order to earn a profit of 25% ?









  1. View Hint View Answer Discuss in Forum

    Total cost price = 600 + 15% of 600
    = 600 + (600 x 15)/100 = ₹690

    Profit = 25%
    SP = CP(100 + Profit/100)

    Correct Option: C

    Total cost price = 600 + 15% of 600
    = 600 + (600 x 15)/100 = ₹690

    Profit = 25%
    SP = CP(100 + Profit/100)
    = 690{(100 + 25)/100} = (690 x 125) / 100
    = ₹ 862.50



  1. If 7 kg of tea of price ₹ 72 per kg is blended with 33 kg of tea of ₹ 87 per kg and 35 kg of ₹ 85 per kg and the mixture is sold at 15% profit, then what is the selling price of the mixture ?









  1. View Hint View Answer Discuss in Forum

    CP per kg of the mixture = (w1x1 + w2x2 + w3x3) / (w1 + w2 + w3)
    = (7 x 72 + 33 x 87 + 35 x 85)/75
    = (504 + 2871 + 2975)/75 = 6350/75 = ₹ 84.66

    Correct Option: D

    CP per kg of the mixture = (w1x1 + w2x2 + w3x3) / (w1 + w2 + w3)
    = (7 x 72 + 33 x 87 + 35 x 85)/75
    = (504 + 2871 + 2975)/75 = 6350/75 = ₹ 84.66
    Profit = 15%
    ∴ SP per kg = ₹ 84.66 + 15% of ₹ 84.66
    = ₹ 97.37


  1. A trader allows a discount of 10% on the marked price of an article. How much percentage above the cost price the article be marked to make a profit of 17% ?









  1. View Hint View Answer Discuss in Forum

    Let the CP be ₹ 100 and let MP be ₹ x above ₹ 100.
    Then, MP = ₹ (100 + x) and discount =10%
    ∴ SP = [(90/100) x (100 + x)] = ₹ 177

    Correct Option: B

    Let the CP be ₹ 100 and let MP be ₹ x above ₹ 100.
    Then, MP = ₹ (100 + x) and discount =10%
    ∴ SP = [(90/100) x (100 + x)] = ₹ 177
    ⇒ x = 30
    So, cost should be labelled at 30% above CP.



  1. A trader fixed the price of an article in such a way that by giving a rebate of 10% on the price fixed, he made a profit of 15% . If the cost of the article is ₹ 72. The fixed price on it, is ?









  1. View Hint View Answer Discuss in Forum

    Let the fixed price of article = ₹P
    Then, Selling price = 90% of P = (90 x P)/100 = ₹ 9P/10
    Also, the selling price = 115% of 72 = ₹(115 x 72)/100
    ⇒ (115 x 72)/100 = 9P/10

    Correct Option: C

    Let the fixed price of article = ₹P
    Then, Selling price = 90% of P = (90 x P)/100 = ₹ 9P/10
    Also, the selling price = 115% of 72 = ₹(115 x 72)/100
    ⇒ (115 x 72)/100 = 9P/10
    ∴ P = ₹ 92