Profit and Loss


  1. A man sold two houses for ₹ 96000 each. In the sale of the first house, he incurred 20% profit and in the sale of the second, he incurred 20% loss. what is the gain or loss percentage in total ?









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    Here, a = 20%
    ∴ Total loss percentage = a2/100 %

    Correct Option: D

    Here, a = 20%
    ∴ Total loss percentage = a2/100 %
    = (20 x 20)/100
    = 4%


  1. A sold a watch to B at 40% gain and B sold it to C at a loss of 20%. if C bought the watch for ₹ 432, at what price did A purchase it ?









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    Let A purchased the watch for ₹ N
    A x [(1+ r1) /100] x [(1+ r2) /100] = CP of article given by C

    Correct Option: A

    Let A purchased the watch for ₹ N
    A x [(1+ r1) /100] x [(1+ r2) /100] = CP of article given by C

    ⇒ N x (140/100) x (80/100) = 432
    ∴ N = (432 x 100)/(14 x 8) = ₹ 385.71



  1. If an article is sold at a gain of 6% instead of at loss of 6%, then the seller gets ₹ 6 more. The cost price of the article is









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    Let CP of the article be ₹ N,
    Then 106% of N - 94% of N = 6

    Correct Option: B

    Let CP of the article be ₹ N,
    Then 106% of N - 94% of N = 6
    ⇒ 12% of N = 6
    ∴ N = (6 x 100)/12 = ₹ 50


  1. By selling an umbrella for ₹ 30, a shopkeeper gains 20%. During a clearance sale, the shopkeeper allows a discount of 10% of the marked price. His gain percentage during the sale season is









  1. View Hint View Answer Discuss in Forum

    Given, selling price of an umbrella = ₹ 30
    Profit percentage = 20%
    ∴ Cost price of an umbrella = (30 x 100)/120 = ₹ 25
    During the clearance sale, selling price of an umbrella = (30 x 90)/100 = ₹ 27

    Correct Option: C

    Given, selling price of an umbrella = ₹ 30
    Profit percentage = 20%
    ∴ Cost price of an umbrella = (30 x 100)/120 = ₹ 25
    During the clearance sale, selling price of an umbrella = (30 x 90)/100 = ₹ 27
    ∴ Required profit percentage = [(27 - 25)/25] x 100% = 8%



  1. On selling an article at ₹ 530, the gain is 20% more than the loss incurred on selling it at ₹ 475. In order to gain 20% the selling price will be











  1. View Hint View Answer Discuss in Forum

    Let CP = N
    Then, according to the question,
    (120/100) x (N - 475) = (530 - N)

    Correct Option: B

    Let CP = N
    Then, according to the question,
    (120/100) x (N - 475) = (530 - N)
    ⇒ (6/5) x (N - 475) = (530 - N)
    ⇒ (6N - 2850) = (2650 - 5N)
    ⇒ 11N = 5500
    ∴ N = ₹ 500
    ∴ Required SP = (500 x 120)/100 = ₹ 600