Profit and Loss


  1. By selling an articles for Rs. 144, a man loses 1 / 7 of his outlay. By selling it for Rs. 168, his gain or loss percent is ?









  1. View Hint View Answer Discuss in Forum

    Let C.P. = Rs. P
    S.P. = (C.P.) - (Loos) = P - P/7 = Rs. 6P/7
    ∵ 6P / 7 = 144
    ∴ P = (144 x 7) / 6 = Rs. 168
    Hence, no Loss and no gain.

    Correct Option: D

    Let C.P. = Rs. P
    S.P. = (C.P.) - (Loos) = P - P/7 = Rs. 6P/7
    ∵ 6P / 7 = 144
    ∴ P = (144 x 7) / 6 = Rs. 168
    Hence, no Loss and no gain.


  1. A shopkeeper bought 150 calculators at the rate of Rs. 250 per calculator. he spent Rs. 2500 on transportation and packing. If the marked price of calculator is Rs. 320 per calculator and the shopkeeper gives a discount of 5% on the marked price then what will be the percentage profit gained by the shopkeeper ?









  1. View Hint View Answer Discuss in Forum

    C.P. of 150 calculators = 150 x 250 = Rs. 37500
    ∴ Total C.P. = 37500 + 2500 = Rs. 40000

    Marked price of 150 calculator = 150 x 320 = Rs. 48000
    Selling price after discount = 48000 x 95 / 100 = Rs. 45600

    ∴ percentage profit = [(45600 - 40000) / 40000] x 100 = 14%

    Correct Option: B

    C.P. of 150 calculators = 150 x 250 = Rs. 37500
    ∴ Total C.P. = 37500 + 2500 = Rs. 40000

    Marked price of 150 calculator = 150 x 320 = Rs. 48000
    Selling price after discount = 48000 x 95 / 100 = Rs. 45600

    ∴ percentage profit = [(45600 - 40000) / 40000] x 100 = 14%



  1. A retailer purchases a sewing machine at discount of 15% and sells it for Rs. 1955. In the bargain he makes a profit of 15%. How much is the discount which he got from the wholesale ?









  1. View Hint View Answer Discuss in Forum

    Let the marked price be Rs. x
    Discount available by the retailer = 15% of Rs. x
    ∵ C.P. of the machine by the retailer = (x - 15% of x) = Rs. 17x / 20
    So, 15% of 17x / 20 = 1955 - 17x / 20
    ⇒ 51x/400 + 17x/20 = 1955
    or x = 2000

    ∴ Discount received by retailer = (15% of 2000) = Rs. 300

    Correct Option: C

    Let the marked price be Rs. x
    Discount available by the retailer = 15% of Rs. x
    ∵ C.P. of the machine by the retailer = (x - 15% of x) = Rs. 17x / 20
    So, 15% of 17x / 20 = 1955 - 17x / 20
    ⇒ 51x/400 + 17x/20 = 1955
    or x = 2000

    ∴ Discount received by retailer = (15% of 2000) = Rs. 300


  1. A shopkeeper earns a profit of 12% after selling a book at 10% discount on the printed prices. The ratio of the cost price and printed price of the book is ?









  1. View Hint View Answer Discuss in Forum

    Let the printed price of the book be Rs. 100.
    After a discount of 10%, S.P. = Rs. 90
    Profit earned = 12%
    ∴ C.P. of the book = Rs. (100 / 112) x 90 = Rs. 1125 / 14

    Hence, (C.P.) : (printed price) = (1125 / 14) : 100 = 45 : 56

    Correct Option: A

    Let the printed price of the book be Rs. 100.
    After a discount of 10%, S.P. = Rs. 90
    Profit earned = 12%
    ∴ C.P. of the book = Rs. (100 / 112) x 90 = Rs. 1125 / 14

    Hence, (C.P.) : (printed price) = (1125 / 14) : 100 = 45 : 56



  1. By selling 12 oranges for one rupee, a man loses 20%. How many for a rupee should he sell to get gain of 20% ?









  1. View Hint View Answer Discuss in Forum

    Suppose he buys 12 oranges. Then S.P. = Re. 1
    Now, 80 : 1 : : 120 : R
    ∴ R = (1 x 120) / 80 = 3/2
    ∴ For Rs. 3/2, oranges sold = 12
    For Re. 1 oranges sold = (12 x 2) / 3 = 8
    So, he must sell them at 8 for a rupee.

    Correct Option: B

    Suppose he buys 12 oranges. Then S.P. = Re. 1
    Now, 80 : 1 : : 120 : R
    ∴ R = (1 x 120) / 80 = 3/2
    ∴ For Rs. 3/2, oranges sold = 12
    For Re. 1 oranges sold = (12 x 2) / 3 = 8
    So, he must sell them at 8 for a rupee.