Profit and Loss

Profit and Loss

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Aptitude miscellaneous
  1. If the cost price of 10 articles is equal to the selling price of 16 articles, then the loss percent is








  1. View Hint View Answer Discuss in Forum

    Let C.P. of each article = $ 1
    Then , C.P. of 16 articles = $ 16
    S.P. of 16 articles = $ 10
    Loss = C.P. of 16 articles - S.P. of 16 articles = 16 - 10 = $ 6

    Loss percent =
    Loss
    		 × 100
    C.P. of 16 articles

    Loss percent =
    6
    		 × 100 = 37.5%
    16

    Second method to solve this question :
    Here, p = 10, q = 16
    Loss % =q - p × 100
    q

    Correct Option: B

    Let C.P. of each article = $ 1
    Then , C.P. of 16 articles = $ 16
    S.P. of 16 articles = $ 10
    Loss = C.P. of 16 articles - S.P. of 16 articles = 16 - 10 = $ 6

    Loss percent =
    Loss
    		 × 100
    C.P. of 16 articles

    Loss percent =
    6
    		 × 100 = 37.5%
    16

    Second method to solve this question :
    Here, p = 10, q = 16
    Loss % =q - p × 100
    q

    Loss % = 16 - 10 × 100
    16

    Loss % =
    600
    		 = 37.5%
    16

  1. If the selling price of 4 articles is equal to the cost price of 5 articles, the profit per cent is








  1. View Hint View Answer Discuss in Forum

    If the CP of each article be $ 1 then
    CP of 4 articles = $ 4
    SP of 4 articles = $ 5
    Profit = SP of 4 articles - CP of 4 articles = 5 - 4 = $ 1

    ∴ Profit percent =
    Profit
    		 × 100 %
    CP of 4 articles

    Profit percent =
    1
    		 × 100 = 25%
    4

    Second method to solve this question :
    Here, p = 5, q = 4
    Profit % =p - q × 100
    q

    Correct Option: C

    If the CP of each article be $ 1 then
    CP of 4 articles = $ 4
    SP of 4 articles = $ 5
    Profit = SP of 4 articles - CP of 4 articles = 5 - 4 = $ 1

    ∴ Profit percent =
    Profit
    		 × 100 %
    CP of 4 articles

    Profit percent =
    1
    		 × 100 = 25%
    4

    Second method to solve this question :
    Here, p = 5, q = 4
    Profit % =p - q × 100
    q

    Profit % = 5 - 4 × 100
    4

    Profit % =
    100
    		 = 25%
    4

  1. The selling price of 10 oranges is the cost price of 13 oranges. Then the profit percentage is








  1. View Hint View Answer Discuss in Forum

    Let the CP of 1 orange = $ 1
    then , CP of 10 oranges = $ 10
    ∴ SP of 10 oranges = $ 13
    Gain = SP of 10 oranges - CP of 10 oranges = 13 - 10 = $ 3

    ∴ Gain percent =
    Gain
    		 × 100
    CP of 10 oranges

    Gain percent =
    3
    		 × 100 = 30 %
    10

    Second method to solve this question :
    Here, p = 13, q = 10
    Profit % = p - q × 100
    q

    Correct Option: A

    Let the CP of 1 orange = $ 1
    then , CP of 10 oranges = $ 10
    ∴ SP of 10 oranges = $ 13
    Gain = SP of 10 oranges - CP of 10 oranges = 13 - 10 = $ 3

    ∴ Gain percent =
    Gain
    		 × 100
    CP of 10 oranges

    Gain percent =
    3
    		 × 100 = 30 %
    10

    Second method to solve this question :
    Here, p = 13, q = 10
    Profit % = p - q × 100
    q

    Profit % = 13 - 10 × 100
    10

    Profit % =
    300
    		 = 30%
    10

  1. If the selling price of 10 articles is equal to the cost price of 11 articles, then the gain percent is








  1. View Hint View Answer Discuss in Forum

    Let the C.P. of each article be $ 1.
    ∴ C.P. of 10 articles = $ 10
    and S.P. of 10 articles = $ 11
    Profit = S.P. of 10 articles - C.P. of 10 articles = 11 - 10 = $ 1

    ∴ Profit percent =
    Profit
    		 × 100
    C.P. of 10 articles

    Profit percent =
    1
    		 × 100 = 10%
    10

    Second method to solve this question :
    Here, p = 11, q = 10
    Profit % = p - q × 100
    q

    Correct Option: A

    Let the C.P. of each article be $ 1.
    ∴ C.P. of 10 articles = $ 10
    and S.P. of 10 articles = $ 11
    Profit = S.P. of 10 articles - C.P. of 10 articles = 11 - 10 = $ 1

    ∴ Profit percent =
    Profit
    		 × 100
    C.P. of 10 articles

    Profit percent =
    1
    		 × 100 = 10%
    10

    Second method to solve this question :
    Here, p = 11, q = 10
    Profit % = p - q × 100
    q

    Profit % = 11 - 10 × 100
    10

    =
    100
    		 = 10%
    10

  1. If the cost price of 10 articles is equal to the selling price of 8 articles, then gain per cent is








  1. View Hint View Answer Discuss in Forum

    Let the C.P. of each article be 1.
    ∴ C.P. of 8 articles = $ 8
    and S.P. of 8 articles = $ 10
    Profit = S.P. of 8 articles - C.P. of 8 articles = 10 - 8 = $ 2

    Profit percent =
    Profit
    		 × 100
    C.P. of 8 articles

    Profit percent =
    2
    		 × 100 = 25%
    8

    Second method to solve this question :
    Here, p = 10, q = 8
    Gain % =
    p - q
    		× 100
    q

    Correct Option: D

    Let the C.P. of each article be 1.
    ∴ C.P. of 8 articles = $ 8
    and S.P. of 8 articles = $ 10
    Profit = S.P. of 8 articles - C.P. of 8 articles = 10 - 8 = $ 2

    Profit percent =
    Profit
    		 × 100
    C.P. of 8 articles

    Profit percent =
    2
    		 × 100 = 25%
    8

    Second method to solve this question :
    Here, p = 10, q = 8
    Gain % =
    p - q
    		× 100
    q

    Gain % =
    10 - 8
    		× 100
    8

    Gain % =
    200
    		 = 25%
    8