Profit and Loss


  1. A man sells rice at 10%profit and uses weight 30% less then the actual measure. His gain percent is ?











  1. View Hint View Answer Discuss in Forum

    Let the marked weight = 1 kg = 1000g
    Real weight = 70% of 1000 = 700g
    Let CP of 1g = ₹ 1
    ∴ CP of 700g = ₹ 700
    CP of 1000g = ₹ 1000
    SP = 110% of 1000
    = 110/100 x 1000 = ₹ 1100
    Gain = 1100 - 700 = ₹ 400

    Correct Option: B

    Let the marked weight = 1 kg = 1000g
    Real weight = 70% of 1000 = 700g
    Let CP of 1g = ₹ 1
    ∴ CP of 700g = ₹ 700
    CP of 1000g = ₹ 1000
    SP = 110% of 1000
    = 110/100 x 1000 = ₹ 1100
    Gain = 1100 - 700 = ₹ 400
    ∴ Gain % = (400/700) x 100%
    = 571/7%


  1. A dishonest dealer sells articles at 10% loss on cost price but uses the weight of 16g instead of 18g. What is his profit or loss per cent ?











  1. View Hint View Answer Discuss in Forum

    Given that a = 10% , b = 16g and c = 18g
    = [(100 - a)c /b - 100)]%
    = [(100 - 10) x 18/16 - 100]%

    Correct Option: A

    Given that a = 10% , b = 16g and c = 18g
    = [(100 - a)c /b - 100)]%
    = [(100 - 10) x 18/16 - 100]%
    = [90 x 18/16 - 100]%
    = [90 x 9/8 - 100]%
    = 810/8 - 100 %
    = (810 - 800) / 8 %
    = 10/8 % = 5/4 %
    =11/4% gain



  1. A Seller uses 920g in place of one kg to sell his goods. When he sells his article at 15% gain on cost price, the actual percentage of profit is ?









  1. View Hint View Answer Discuss in Forum

    Let cost price = ₹ 1000
    ∴ Actual cost price = ₹ 920
    Selling price = (1000 x 115)/100 = ₹1150

    Correct Option: C

    Let cost price = ₹ 1000
    ∴ Actual cost price = ₹ 920
    Selling price = (1000 x 115)/100 = ₹1150
    ∴ Actual profit percentage = (1150 - 920)/(920 x 100) = 25%


  1. A Shopkeeper purchased some books from a publication worth ₹ 750. Because of some reasons, he had to sell two-fifth part of the book at a loss of 15%. On which gain he should sell his rest of the books, so that he gets neither nor loss











  1. View Hint View Answer Discuss in Forum

    Here, A = 2/5, R = 15%
    According to the formula
    Gain % = AR/(1 - A)%

    Correct Option: A

    Here, A = 2/5, R = 15%
    According to the formula
    Gain % = AR/(1 - A)%
    = [(2/5) x 15]/[1 - (2/5)]%
    = (6 x 5)/3%
    = 10%



  1. A fruit seller buys 700 oranges at the rate of ₹ 500 for 100 oranges and another variety of 500 oranges at the rate of ₹ 700 for 100 oranges and sells them at ₹ 84 per dozen. The profit percent is











  1. View Hint View Answer Discuss in Forum

    CP of 700 oranges = (500/100) x 700 = ₹ 3500
    Total CP = 3500 + 3500 = 7000
    And total number of oranges purchased = 700 + 500 = 1200
    Total SP = (84/12 )x 1200 = ₹ 8400

    Correct Option: A

    CP of 700 oranges = (500/100) x 700 = ₹ 3500
    Total CP = 3500 + 3500 = 7000
    And total number of oranges purchased = 700 + 500 = 1200
    Total SP = (84/12 )x 1200 = ₹ 8400
    ∴ Profit percent = [(8400 - 7000)/7000]x100% = 20%