Profit and Loss


  1. If the cost price of 25 pens is equal to the selling price of 20 pens, then the profit per cent is









  1. View Hint View Answer Discuss in Forum

    Let the C.P. of each pen be Re. 1.
    ∴ C.P. of 20 pens = Rs. 20
    ∴ S.P. of 20 pens = Rs. 25
    Profit = S.P. of 20 pens - C.P. of 20 pens = 25 - 20 = Rs. 5

    ∴ Profit percent =
    Profit
    × 100
    C.P. of 20 pens

    Correct Option: B

    Let the C.P. of each pen be Re. 1.
    ∴ C.P. of 20 pens = Rs. 20
    ∴ S.P. of 20 pens = Rs. 25
    Profit = S.P. of 20 pens - C.P. of 20 pens = 25 - 20 = Rs. 5

    ∴ Profit percent =
    Profit
    × 100
    C.P. of 20 pens

    Profit percent =
    500
    = 25%
    20


  1. A fruit seller buys oranges at the rate of Rs. 10 per dozen and sells at the rate of Rs. 12 per dozen. His gain percent is :









  1. View Hint View Answer Discuss in Forum

    Given that , C.P. of 12 oranges = Rs. 10
    S.P. of 12 oranges = Rs. 12
    Profit = S.P. of 12 oranges - C.P. of oranges = 12 - 10 = Rs . 2

    ∴ Profit percent =
    Profit
    × 100
    C.P. of 12 oranges

    Correct Option: A

    Given that , C.P. of 12 oranges = Rs. 10
    S.P. of 12 oranges = Rs. 12
    Profit = S.P. of 12 oranges - C.P. of oranges = 12 - 10 = Rs . 2

    ∴ Profit percent =
    Profit
    × 100
    C.P. of 12 oranges

    Profit percent =
    2 × 100
    = 20%
    10



  1. If the Cost Price of 25 chairs is equal to the selling price of 30 chairs, then the loss % is :









  1. View Hint View Answer Discuss in Forum

    Let the cost of each chair be Re. 1.
    ∴ C.P. of 30 chairs = Rs. 30.
    Their S.P. = Rs. 25
    Loss = C.P. - S.P. = 30 - 25 = Rs. 5

    ∴ Loss percent =
    Loss
    × 100
    C.P.

    Correct Option: D

    Let the cost of each chair be Re. 1.
    ∴ C.P. of 30 chairs = Rs. 30.
    Their S.P. = Rs. 25
    Loss = C.P. - S.P. = 30 - 25 = Rs. 5

    ∴ Loss percent =
    Loss
    × 100
    C.P.

    ∴ Loss percent =
    50
    = 16
    2
    %
    33


  1. If a man were to sell his hand– cart for Rs. 720, he would lose 25%. At what price must he sell it to gain 25%?









  1. View Hint View Answer Discuss in Forum

    Given that , S.P. of hand-cart = Rs. 720 and loss = 25%

    C.P. of hand-cart =
    100
    × 720 = Rs. 960
    75

    For 25% profit ,

    Correct Option: A

    Given that , S.P. of hand-cart = Rs. 720 and loss = 25%

    C.P. of hand-cart =
    100
    × 720 = Rs. 960
    75

    For 25% profit ,
    S.P. =
    125
    × 960 = Rs. 1200
    100



  1. A man purchased an article for Rs. 1500 and sold it at 25% above the cost price. If he has to pay Rs. 75 as tax on it, his net profit percentage will be :









  1. View Hint View Answer Discuss in Forum

    Given that , Cost price of article = Rs. 1500

    S.P. of article =
    1500 × 125
    = Rs. 1875
    100

    Net S.P. after paying tax = Rs. (1875 – 75) = Rs. 1800
    ∴ Profit = 1800 – 1500 = Rs. 300

    Correct Option: A

    Given that , Cost price of article = Rs. 1500

    S.P. of article =
    1500 × 125
    = Rs. 1875
    100

    Net S.P. after paying tax = Rs. (1875 – 75) = Rs. 1800
    ∴ Profit = 1800 – 1500 = Rs. 300
    ∴ Profit percent =
    300
    × 100 = 20%
    1500