Profit and Loss

Profit and Loss

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  1. A person sold a watch at a profit of 10%. If he had sold it for ₹ 2000 more, he would have gained 20%. Find the CP of watch ?








  1. View Hint View Answer Discuss in Forum

    Here, a = 10% , b = 20% , r = 2000
    According to the formula
    CP of watch = [r/(b - a)] x 100 = [2000/(20 - 10)] x 100

    Correct Option: C

    Here, a = 10% , b = 20% , r = 2000
    According to the formula
    CP of watch = [r/(b - a)] x 100 = [2000/(20 - 10)] x 100
    = (2000 x 100)/10
    = ₹ 20000

  1. A man sold two watches, each for ₹ 495. If he gained 10% on one watch and suffered a loss of 10% on the other, then what is the loss of gain percentage in the transaction ?








  1. View Hint View Answer Discuss in Forum

    Loss % = (a/10)2%

    Correct Option: B

    Loss % = (a/10)2%
    = (10/10)2%
    = 1%

  1. A person sold an article for ₹ 136 and got 15% loss, had he sold it for ₹ N, he would have got a profit of 15%. Which one of the following is correct ?










  1. View Hint View Answer Discuss in Forum

    Cost price = (selling price x 100)/(100 - loss%)
    = (136 x 100)/(100 - 15)
    = (136 x 100)/85
    = ₹ 160

    Selling price (N) = 160 x (100 + 15)/100 = (160 x 115)/100
    = ₹ 184

    Correct Option: B

    Cost price = (selling price x 100)/(100 - loss%)
    = (136 x 100)/(100 - 15)
    = (136 x 100)/85
    = ₹ 160

    Selling price (N) = 160 x (100 + 15)/100 = (160 x 115)/100
    = ₹ 184

    ∴ Option (b) is correct because
    [180 < N < 190].

  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 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