Profit and Loss


  1. The cost price of 8 articles is equal to the selling price of 9 articles. The profit or loss percent in the transaction is









  1. View Hint View Answer Discuss in Forum

    Let the CP of each article be $ 1
    ∴ CP of 9 articles = $ 9
    ∴ SP of 9 articles = $ 8
    ∴ Loss = 9 - 8 = $ 1

    ∴ Loss % =
    1
    × 100
    9

    Loss % =
    100
    = 11
    1
    %
    99

    Second method to solve this question :
    Here, p = 8, q = 9
    Loss % =q - p × 100
    q

    Correct Option: C

    Let the CP of each article be $ 1
    ∴ CP of 9 articles = $ 9
    ∴ SP of 9 articles = $ 8
    ∴ Loss = 9 - 8 = $ 1

    ∴ Loss % =
    1
    × 100
    9

    Loss % =
    100
    = 11
    1
    %
    99

    Second method to solve this question :
    Here, p = 8, q = 9
    Loss % =q - p × 100
    q

    Loss % = 9 - 8 × 100
    9

    Loss % =
    100
    = 11
    1
    %
    99


  1. If the cost price of 12 pens is equal to the selling price of 8 pens, the gain percent is :









  1. View Hint View Answer Discuss in Forum

    Let the CP of each pen be $ 1.
    ∴ CP of 8 pens = $ 8
    SP of 8 pens = $ 12

    ∴ Gain % =
    4
    × 100 = 50%
    8

    Second method to solve this question :
    Here, p = 12, q = 8
    Profit % = p - q × 100
    q

    Correct Option: D

    Let the CP of each pen be $ 1.
    ∴ CP of 8 pens = $ 8
    SP of 8 pens = $ 12

    ∴ Gain % =
    4
    × 100 = 50%
    8

    Second method to solve this question :
    Here, p = 12, q = 8
    Profit % = p - q × 100
    q

    Profit % = 12 - 8 × 100
    8

    Profit % =
    4
    × 100 = 50%
    8



  1. A man sells 320 mangoes at the cost price of 400 mangoes. His gain percent is :









  1. View Hint View Answer Discuss in Forum

    Let Cost price of each mango is Rs. 1.
    Given in question , Selling price of 320 mangoes = Cost price of 400 mangoes

    Cost price of mangoes
    =
    320
    Selling price of mangoes400

    Gain = S.P. - C.P. = 400 - 320 = Rs. 80
    Gain percent =
    Gain
    × 100
    Cost price

    Gain percent =
    80
    × 100 = 25%
    320

    Second method to solve this question :
    Here, p = 400, q = 320
    Profit % = p - q × 100
    q

    Correct Option: C

    Let Cost price of each mango is Rs. 1.
    Given in question , Selling price of 320 mangoes = Cost price of 400 mangoes

    Cost price of mangoes
    =
    320
    Selling price of mangoes400

    Gain = S.P. - C.P. = 400 - 320 = Rs. 80
    Gain percent =
    Gain
    × 100
    Cost price

    Gain percent =
    80
    × 100 = 25%
    320

    Second method to solve this question :
    Here, p = 400, q = 320
    Profit % = p - q × 100
    q

    Profit % = 400 - 320 × 100
    320

    Profit % =
    80
    × 100 = 25%
    320


  1. If the cost price of 10 articles is equal to the selling price of 9 articles, the gain or loss percent is









  1. View Hint View Answer Discuss in Forum

    Let C.P. of each article be $ 1
    Then, C.P. of 9 articles = $ 9
    S.P. of 9 articles = $ 10
    Profit = S.P. of 9 articles - C.P. of 9 articles = 10 - 9 = $ 1

    Required profit percent =
    Profit
    × 100
    C.P. of 9 articles

    Required profit percent =
    1
    × 100 = 11
    1
    %
    99

    Second method to solve this question :
    Here, p = 10, q = 9
    Profit % = p - q × 100
    q

    Correct Option: A

    Let C.P. of each article be $ 1
    Then, C.P. of 9 articles = $ 9
    S.P. of 9 articles = $ 10
    Profit = S.P. of 9 articles - C.P. of 9 articles = 10 - 9 = $ 1

    Required profit percent =
    Profit
    × 100
    C.P. of 9 articles

    Required profit percent =
    1
    × 100 = 11
    1
    %
    99

    Second method to solve this question :
    Here, p = 10, q = 9
    Profit % = p - q × 100
    q

    Profit % = 10 - 9 × 100
    9

    Profit % =
    1
    × 100
    9

    = 11
    1
    %
    9



  1. If the cost price of 12 oranges is equal to selling price of 10 oranges, then the percentage of profit is









  1. View Hint View Answer Discuss in Forum

    Let C.P. of each orange be $ 1
    Then, C.P. of 10 oranges = $ 10
    S.P. of 10 oranges = $ 12
    Gain = 12 - 10 = $ 2

    ∴ Gain % = Gain × 100
    C.P. of 10 oranges

    Gain % =2× 100 % = 20%
    10

    Second method to solve this question :
    Here, p = 12, q = 10
    Profit % =p - q × 100
    q

    Correct Option: B

    Let C.P. of each orange be $ 1
    Then, C.P. of 10 oranges = $ 10
    S.P. of 10 oranges = $ 12
    Gain = 12 - 10 = $ 2

    ∴ Gain % = Gain × 100
    C.P. of 10 oranges

    Gain % =2× 100 % = 20%
    10

    Second method to solve this question :
    Here, p = 12, q = 10
    Profit % =p - q × 100
    q

    Profit % = 12 - 10 × 100 = 20%
    10