Profit and Loss


  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. 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. 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. If the profit on selling an article for $ 425 is the same as the loss on selling it for $ 355, then the cost price of the article is









  1. View Hint View Answer Discuss in Forum

    Let the C.P. of article be y,
    According to question ,
    425 – y = y – 355
    ⇒ 2y = 425 + 355 = 780

    Correct Option: C

    Let the C.P. of article be y,
    According to question ,
    425 – y = y – 355
    ⇒ 2y = 425 + 355 = 780

    ⇒ y =
    780
    = $ 390
    2



  1. A merchant sold an article for $ 75 at a profit percent equal to its cost price. The cost price of the article was :









  1. View Hint View Answer Discuss in Forum

    Let the cost price of article be $ y.

    100 + yof y = 75
    100

    Correct Option: B

    Let the cost price of article be $ y.

    100 + yof y = 75
    100

    ⇒ y2 + 100y – 7500 = 0
    ⇒ y2 + 150y – 50y – 7500 = 0
    ⇒ y (y + 150) – 50 (y + 150) = 0
    ⇒ (y – 50) (y + 150) = 0
    ⇒ y = 50 and y = - 150 as y can't be negative