Profit and Loss

Profit and Loss

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Aptitude miscellaneous
  1. If the cost price of 50 oranges is equal to the selling price of 40 oranges, then the profit per cent is








  1. View Hint View Answer Discuss in Forum

    Let the C.P. of one orange = 1
    ∴ C.P. of 40 oranges = $ 40
    and S.P. of 40 oranges = $ 50
    ∴ Profit = (50 – 40) = $ 10

    ∴ Profit % =
    Profit
    		 × 100
    C.P. of 40 oranges

    Profit % =
    10
    		 × 100 = 25%
    40

    Second method to solve this question :
    Here, p = 50, q = 40
    Profit % = p - q× 100
    q


    Correct Option: D

    Let the C.P. of one orange = 1
    ∴ C.P. of 40 oranges = $ 40
    and S.P. of 40 oranges = $ 50
    ∴ Profit = (50 – 40) = $ 10

    ∴ Profit % =
    Profit
    		 × 100
    C.P. of 40 oranges

    Profit % =
    10
    		 × 100 = 25%
    40

    Second method to solve this question :
    Here, p = 50, q = 40
    Profit % = p - q× 100
    q

    Profit % = 50 - 40× 100 = 25%
    40

  1. A person sells 400 mangoes at the cost price of 320 mangoes. His percentage of loss is








  1. View Hint View Answer Discuss in Forum

    Let the C.P. of one mango be Rs. 1.
    then , C.P. of 400 mangoes = Rs. 400.
    S.P. of 400 mangoes = Rs. 320.
    Loss = 400 - 320 = Rs. 80

    ∴ Loss percent =
    Loss
    		 × 100
    C.P. of 400 mangoes

    Correct Option: C

    Let the C.P. of one mango be Rs. 1.
    then , C.P. of 400 mangoes = Rs. 400.
    S.P. of 400 mangoes = Rs. 320.
    Loss = 400 - 320 = Rs. 80

    ∴ Loss percent =
    Loss
    		 × 100
    C.P. of 400 mangoes

    Loss percent =
    80
    		 × 100 = 20%
    400

  1. The cost price of 18 articles is equal to the selling price of 15 articles. The gain percent is :








  1. View Hint View Answer Discuss in Forum

    Let Cost price of each article is ₹ 1 .
    Cost price of 15 articles = ₹ 15
    Selling price of 15 articles = ₹ 18
    Gain = 18 - 15 = ₹ 3

    Gain % =
    Gain
    		 × 100
    Cost price of 15 articles

    Gain % =
    3
    		 × 100 = 20 %
    15

    Second method to solve this question :
    Here, p = 18, q = 15
    Gain% = p - q× 100
    q

    Correct Option: B

    Let Cost price of each article is ₹ 1 .
    Cost price of 15 articles = ₹ 15
    Selling price of 15 articles = ₹ 18
    Gain = 18 - 15 = ₹ 3

    Gain % =
    Gain
    		 × 100
    Cost price of 15 articles

    Gain % =
    3
    		 × 100 = 20 %
    15

    Second method to solve this question :
    Here, p = 18, q = 15
    Gain% = p - q× 100
    q

    Gain % = 18 - 15× 100
    15

    Gain % =
    3
    		 × 100 = 20 %
    15

  1. If the cost price of 15 tables be equal to the selling price of 20 tables, the loss per cent is :








  1. View Hint View Answer Discuss in Forum

    Let the cost price of one table = y
    ∴ Cost price of 15 tables = 15y and cost price of 20 tables = 20y
    According to the question ,
    Selling price of 20 tables = cost price of 15 tables = 15y
    ∴ Loss = 20y – 15y = 5y

    ∴ Loss% = 5y × 100= 25%
    20y

    Second method to solve this question :
    Here, p = 15, q = 20
    Loss% =
    p - q
    		 × 100
    q

    Correct Option: C

    Let the cost price of one table = y
    ∴ Cost price of 15 tables = 15y and cost price of 20 tables = 20y
    According to the question ,
    Selling price of 20 tables = cost price of 15 tables = 15y
    ∴ Loss = 20y – 15y = 5y

    ∴ Loss% = 5y × 100= 25%
    20y

    Second method to solve this question :
    Here, p = 15, q = 20
    Loss% =
    p - q
    		 × 100
    q

    Loss% = 15 - 20× 100
    20

    Loss% =
    -5
    		 × 100 = –25% (–ve sign shows loss)
    20

    Hence , Loss% = 25%

  1. The selling price of 5 articles is the same as the cost price of 3 articles. The gain or loss per cent is :








  1. View Hint View Answer Discuss in Forum

    According to question , we have
    C.P. of 3 articles = S.P. of 5 articles

    ⇒
    C.P.
    		 =
    5
    S.P.3

    Loss = S.P. - C.P. = 5 - 3 = $ 2
    Loss% =
    Loss
    		 × 100
    5

    Loss% = 2 × 20 = 40%
    Second method to solve this question :
    Here, p = 3, q = 5
    Loss % = p - q× 100
    q

    Correct Option: D

    According to question , we have
    C.P. of 3 articles = S.P. of 5 articles

    ⇒
    C.P.
    		 =
    5
    S.P.3

    Loss = S.P. - C.P. = 5 - 3 = $ 2
    Loss% =
    Loss
    		 × 100
    5

    Loss% = 2 × 20 = 40%
    Second method to solve this question :
    Here, p = 3, q = 5
    Loss % = p - q× 100
    q

    Loss% = 3 - 5 × 100 = – 40% (–ve sign shows loss)
    5

    Loss% = 40%