Profit and Loss


  1. A man buys a toy for $ 25 and sells it for $ 30. His gain percent is









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    Given that , CP of toys = $ 25 and SP of toys = $ 30
    Gain = SP of toys - CP of toys = 30 - 25 = $ 5

    ∴ Profit percent =
    5
    × 100
    25

    Correct Option: A

    Given that , CP of toys = $ 25 and SP of toys = $ 30
    Gain = SP of toys - CP of toys = 30 - 25 = $ 5

    ∴ Profit percent =
    5
    × 100
    25

    Profit percent =
    500
    = 20%
    25


  1. A dealer sold (3 / 4) th of his articles at a gain of 24% and the remain- ing at the cost price. Percentage of gain in the whole transaction is









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    Let total C.P. = $ 100 and number of articles = 100.
    According to question ,

    ∴ Total S.P. at a gain of 24% = $75 × 124 + 25
    100

    Correct Option: B

    Let total C.P. = $ 100 and number of articles = 100.
    According to question ,

    ∴ Total S.P. at a gain of 24% = $75 × 124 + 25 = $ (93 + 25) = $ 118
    100



  1. A shopkeeper bought 15kg of rice at the rate of $ 29 per kg and 25kg of rice at the rate of $ 20 per kg. He sold the mixture of both types of rice at the rate of $ 27 per kg. His profit in this transaction is









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    Given in question , C.P. of 15 kg of rice = $ 29 per kg
    C.P. of 25 kg of rice = $ 20 per kg
    Total C.P. of 40 kg of mixture = $(15 × 29 + 25 × 20) = $ (435 + 500) = $ 935
    S.P. of 40 kg of mixture = 27 × 40 = $ 1080
    ∴ Gain = S.P. of 40 kg of mixture - C.P. of 40 kg of mixture

    Correct Option: D

    Given in question , C.P. of 15 kg of rice = $ 29 per kg
    C.P. of 25 kg of rice = $ 20 per kg
    Total C.P. of 40 kg of mixture = $(15 × 29 + 25 × 20) = $ (435 + 500) = $ 935
    S.P. of 40 kg of mixture = 27 × 40 = $ 1080
    ∴ Gain = S.P. of 40 kg of mixture - C.P. of 40 kg of mixture
    ∴ Gain = 1080 – 935 = $ 145


  1. Krishna purchased a number of articles at $ 10 for each and the same number for $ 14 each. He mixed them together and sold them for $ 13 each. Then his gain or loss percent is









  1. View Hint View Answer Discuss in Forum

    Let 10 articles of each kind be bought.
    ∴ Total cost price = $ (10 × 10 + 14 × 10) = $ 240
    Total selling price = 13 × 20 = $ 260
    Gain = Total selling price - Total cost price = 260 - 240 = $ 20

    ∴ Gain percent =
    20
    × 100
    240

    Correct Option: D

    Let 10 articles of each kind be bought.
    ∴ Total cost price = $ (10 × 10 + 14 × 10) = $ 240
    Total selling price = 13 × 20 = $ 260
    Gain = Total selling price - Total cost price = 260 - 240 = $ 20

    ∴ Gain percent =
    20
    × 100
    240

    Gain percent =
    20 × 100
    = 8
    1
    %
    2403



  1. Nikita bought 30 kg of wheat at the rate of $ 9.50 per kg and 40 kg of wheat at the rate of $ 8.50 per kg and mixed them. She sold the mixture at the rate of $ 8.90 per kg. Her total profit or loss in the transaction was :









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    On the basis of given question ,
    Total CP of 70 kg of wheat = $ (30 × 9.5 + 40 × 8.5) = $ (285 + 340) = $ 625
    Total S.P. of 70 kg of wheat = $ (8.90 × 70) = $ 623
    ∴ Loss = Total CP of 70 kg of wheat - Total SP of 70 kg of wheat

    Correct Option: A

    On the basis of given question ,
    Total CP of 70 kg of wheat = $ (30 × 9.5 + 40 × 8.5) = $ (285 + 340) = $ 625
    Total S.P. of 70 kg of wheat = $ (8.90 × 70) = $ 623
    ∴ Loss = Total CP of 70 kg of wheat - Total SP of 70 kg of wheat
    Loss = $ (625 – 623) = $ 2