Profit and Loss


  1. The profit earned after selling a pair of shoes for ₹ 2033 is the same as the loss incurred after selling the same pair of shoes for ₹ 1063. What is the cost price of the shoes ?











  1. View Hint View Answer Discuss in Forum

    Let the cost price of the shoes = ₹ x
    According to the question,
    2033 - x = x - 1063

    Correct Option: B

    Let the cost price of the shoes = ₹ x
    According to the question,
    2033 - x = x - 1063
    ⇒ 2x = 2033 + 1063 = 3096
    ∴ x = 3096/2 = ₹ 1548


  1. Neeta got profit of 10% on selling an article in ₹ 220. To get the profit of 30%, she should sell the article in how many rupees ?









  1. View Hint View Answer Discuss in Forum

    Let cost price of an article = (220 x 100)/110 = ₹ 200
    For getting the profit of 30%, Selling price of an article = 130% of ₹ 200

    Correct Option: C

    Let cost price of an article = (220 x 100)/110 = ₹ 200
    For getting the profit of 30%, Selling price of an article = 130% of ₹ 200
    = (130/100) x 200 = ₹ 260



  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%


  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