Profit and Loss


  1. If the cost price of 20 articles is equal to the selling price of 15 articles, find the profit per cent.











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    Given that, a = 20 and b = 15
    According to the formula,
    Profit %= [(a - b) / b] x 100 %

    Correct Option: B

    Given that, a = 20 and b = 15
    According to the formula,
    Profit %= [(a - b) / b] x 100 %
    = (5/15) x 100% = 100/3 %
    = 331/3%


  1. A furniture seller sells two tables ₹ 1500 each. He earned a profit of 20% on one table and suffered a loss of 20% on the another table. Net profit or loss in this deal is











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    Required loss = (a/10)2 %

    Correct Option: A

    Required loss = (a/10)2%
    = (20/10)2% = 4%
    Thus, seller gets 4% loss in the deal.



  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. 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