Profit and Loss


  1. By selling a cellphone for ₹ 2400, a shopkeeper make a profit of 25%. Then, his profit percentage, if he had sold it for ₹ 2040, is










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    SP of cellphone = ₹ 2400
    ∴ CP of cellphone = 2400 x [100/(100 + 25)] = ₹ 1920
    ∴ Required percentage profit = [(2040 - 1920)/1920] x 100

    Correct Option: B

    SP of cellphone = ₹ 2400
    ∴ CP of cellphone = 2400 x [100/(100 + 25)] = ₹ 1920
    ∴ Required percentage profit = [(2040 - 1920)/1920] x 100
    = 6.25%


  1. Rajdeep loses 20% by selling a radio for ₹ 768. What percent will he gain by selling if for ₹ 1020 ?









  1. View Hint View Answer Discuss in Forum

    SP = ₹ 768 and loss = 20%
    ∴ CP = (100/80) x 768 = (5/4) x 768 = ₹ 960
    Now, CP = ₹ 960 and SP = ₹ 1020
    Gain = 1020 - 960 = ₹ 60

    Correct Option: C

    SP = ₹ 768 and loss = 20%
    ∴ CP = (100/80) x 768 = (5/4) x 768 = ₹ 960
    Now, CP = ₹ 960 and SP = ₹ 1020
    Gain = 1020 - 960 = ₹ 60
    ∴ Gain% = (60/960) x 100% = 6.25%



  1. A trader buys some goods for ₹ 150. If the overhead expenses be 12% of the cost price, at what price should it be sold to earn 10% ?









  1. View Hint View Answer Discuss in Forum

    Total CP = (CP + Overhead expenses)
    = 150 + 12% of 150
    = 150 + (12/100) x 150 = ₹ 168

    Correct Option: A

    Total CP = (CP + Overhead expenses)
    = 150 + 12% of 150
    = 150 + (12/100) x 150 = ₹ 168

    Given that, gain = 10%
    ∴ SP = (110/100) x 168 = ₹ 184.80


  1. If a watch is sold for ₹ 120, there is a loss of 15%. For a profit of 2%, the watch is to be sold for











  1. View Hint View Answer Discuss in Forum

    SP = ₹ 120 and loss = 15%
    ∴ CP = (100/85) x 120 = 2400/17,
    Gain = 2%
    ∴ Required SP = (102/100) x (2400/17)

    Correct Option: A

    SP = ₹ 120 and loss = 15%
    ∴ CP = (100/85) x 120 = 2400/17,
    Gain = 2%
    ∴ Required SP = (102/100) x (2400/17) = ₹ 144



  1. A person sold an article for ₹ 3600 and got a profit of 20%. Had he sold the article for ₹ 3150, how much profit would he have got ?











  1. View Hint View Answer Discuss in Forum

    Let the cost price of the article be ₹ N.
    Now, N + 20N/100 = 3600
    ⇒ 120N/100 = 3600
    ∴ N = 3000

    Now, profit percentage when the article is sold for ₹ 3150 = [(3150 - 3000)/3000] x 100

    Correct Option: B

    Let the cost price of the article be ₹ N.
    Now, N + 20N/100 = 3600
    ⇒ 120N/100 = 3600
    ∴ N = 3000

    Now, profit percentage when the article is sold for ₹ 3150 = [(3150 - 3000)/3000] x 100
    = (150/3000) x 100 = 5%