Profit and Loss


  1. The loss incurred on selling 21 articles equals the selling price of 3 articles. Then the loss per cent is









  1. View Hint View Answer Discuss in Forum

    Given in question, S.P. of 3 articles = C.P. of 21 articles – S.P. of 21 articles
    ⇒ S.P. of 24 articles = C.P. of 21 articles

    S.P.
    =
    21
    C.P.24

    Loss = 24 - 21 = 3
    ∴ Loss percent =
    3
    × 100
    24

    Loss percent = 12
    1
    %
    2

    We can find required answer with the help of given formula :
    Here, p = 21, q = 3
    Loss% =
    q × 100
    p + q


    Correct Option: C

    Given in question, S.P. of 3 articles = C.P. of 21 articles – S.P. of 21 articles
    ⇒ S.P. of 24 articles = C.P. of 21 articles

    S.P.
    =
    21
    C.P.24

    Loss = 24 - 21 = 3
    ∴ Loss percent =
    3
    × 100
    24

    Loss percent = 12
    1
    %
    2

    We can find required answer with the help of given formula :
    Here, p = 21, q = 3
    Loss% =
    q × 100
    p + q

    Loss% =
    3 × 100
    21 + 3

    Loss% =
    100
    =
    25
    = 12
    1
    %
    822


  1. A man sold 250 chairs and had a gain equal to selling price of 50 chairs. His profit percent is :









  1. View Hint View Answer Discuss in Forum

    As we know that ,
    Gain = S.P. - C.P.
    S.P. of 250 chairs – C.P. of 250 chairs = S.P. of 50 chairs
    ⇒ S.P. of 200 chairs = C.P. of 250 chairs
    Gain = 250 - 200 = 50

    ∴ profit% =
    50
    × 100 = 25%
    200

    We can find required answer with the help of given formula :
    Here, p = 250, q = 50
    Profit% =
    q × 100
    p - q

    Correct Option: B

    As we know that ,
    Gain = S.P. - C.P.
    S.P. of 250 chairs – C.P. of 250 chairs = S.P. of 50 chairs
    ⇒ S.P. of 200 chairs = C.P. of 250 chairs
    Gain = 250 - 200 = 50

    ∴ profit% =
    50
    × 100 = 25%
    200

    We can find required answer with the help of given formula :
    Here, p = 250, q = 50
    Profit% =
    q × 100
    p - q

    Profit% =
    50 × 100
    250 - 50

    Profit% =
    50
    = 25%
    2



  1. On selling 17 balls at $ 720, there is a loss equal to the cost price of 5 balls. The cost price (in $) of a ball is









  1. View Hint View Answer Discuss in Forum

    Let C.P. of a ball = y
    S.P. of 17 balls = $ 720
    From the question ,
    ∴ 17y – 720 = 5y
    ⇒ 17y - 5y = 720

    Correct Option: D

    Let C.P. of a ball = y
    S.P. of 17 balls = $ 720
    From the question ,
    ∴ 17y – 720 = 5y
    ⇒ 17y - 5y = 720
    ⇒ 12y = 720
    ⇒ y = $ 60


  1. Mohan purchased a bag with 20 per cent discount on the labelled price. He sold it at 40 percent profit on the price he bought. The percentage of profit on the labelled price is :









  1. View Hint View Answer Discuss in Forum

    Let the marked price be Rs. 100.
    Mohan’s C.P. = Rs. 80

    Mohan’s S.P. =
    80 × 140
    = Rs. 112
    100

    ∴ Required profit percent = 12%

    Correct Option: B

    Let the marked price be Rs. 100.
    Mohan’s C.P. = Rs. 80

    Mohan’s S.P. =
    80 × 140
    = Rs. 112
    100

    ∴ Required profit percent = 12%



  1. Last year Mr. A bought two paintings. This year he sold them for Rs. 20,000 each. On one, he made a 25% profit and on the other he had a 25% loss. Then his net profit or loss is









  1. View Hint View Answer Discuss in Forum

    Here , S.P. of each painting = Rs. 20,000
    On 25% profit ,

    C.P. of first painting =
    20000 × 100
    100 + 25

    C.P. of first painting =
    20000 × 100
    = Rs. 16000
    125

    On 25% loss ,
    C.P. of second painting =
    20000 × 100
    100 - 25

    Correct Option: A

    Here , S.P. of each painting = Rs. 20,000
    On 25% profit ,

    C.P. of first painting =
    20000 × 100
    100 + 25

    C.P. of first painting =
    20000 × 100
    = Rs. 16000
    125

    On 25% loss ,
    C.P. of second painting =
    20000 × 100
    100 - 25

    C.P. of second painting =
    20000 × 100
    = Rs. 26666.7
    75

    Loss = Total C.P. - Total S.P.
    Loss = { (16000 + 26666.7 ) – 2 × 20000 } = Rs. 2666.7