Profit and Loss


  1. A store sells a watch for a profit of 25% of its cost price. Then the percentage of profit against selling price is :









  1. View Hint View Answer Discuss in Forum

    Let the C.P. of the watch be Rs. 100.
    ∴ Its S.P. = Rs. 125
    If S.P. > C.P. , then
    Profit = S.P. - C.P. = 125 - 100 = Rs. 25

    ∴ Profit percent on its S.P. =
    Profit
    × 100
    S.P.

    Correct Option: B

    Let the C.P. of the watch be Rs. 100.
    ∴ Its S.P. = Rs. 125
    If S.P. > C.P. , then
    Profit = S.P. - C.P. = 125 - 100 = Rs. 25

    ∴ Profit percent on its S.P. =
    Profit
    × 100
    S.P.

    Profit percent on its S.P. =
    25
    × 100 = 20%
    125


  1. By what fraction selling price (S.P.) must be multiplied to get the cost price (C.P.) if the loss is 20 %?









  1. View Hint View Answer Discuss in Forum

    According to the question,

    80
    of C.P. = S.P.
    100

    4
    of C.P. = S.P.
    5

    Correct Option: C

    According to the question,

    80
    of C.P. = S.P.
    100

    4
    of C.P. = S.P.
    5

    ⇒ C.P. = S.P. ×
    5
    4



  1. If the cost price of 20 books is the same as selling price of 25 books, then the loss percentage is









  1. View Hint View Answer Discuss in Forum

    Let the C.P. of each book be Re. 1.
    ∴ Total C.P. of 25 books = Rs. 25
    Their S.P. = Rs. 20
    If C.P. > S.P. , then
    Loss = C.P. of 25 books - S.P. of 25 books = 25 - 20 = Rs. 5

    ∴ Loss percent = Loss × 100
    C.P. of 25 books


    Correct Option: A

    Let the C.P. of each book be Re. 1.
    ∴ Total C.P. of 25 books = Rs. 25
    Their S.P. = Rs. 20
    If C.P. > S.P. , then
    Loss = C.P. of 25 books - S.P. of 25 books = 25 - 20 = Rs. 5

    ∴ Loss percent = Loss × 100
    C.P. of 25 books

    =
    5
    × 100 = 20%
    25


  1. By selling a tape-recorder for Rs. 1040 a man gains 4%. If he sells it for Rs. 950, his loss will be









  1. View Hint View Answer Discuss in Forum

    Given , First S.P. = Rs. 1040 , Gains = 4% and Second S.P. = Rs. 950

    C.P. of tape recorder = Rs. 100 × First S.P.
    ( 100 + Gain% )

    C.P. of tape recorder = Rs. 100 × 1040 = Rs. 1000
    104

    Correct Option: A

    Given , First S.P. = Rs. 1040 , Gains = 4% and Second S.P. = Rs. 950

    C.P. of tape recorder = Rs. 100 × First S.P.
    ( 100 + Gain% )

    C.P. of tape recorder = Rs. 100 × 1040 = Rs. 1000
    104

    On selling for Rs. 950,
    Loss = Rs. (1000 – 950) = Rs. 50
    ∴ Loss percent =
    50 × 100
    = 5%
    1000



  1. If the selling price of 40 articles is equal to the cost price of 50 articles, the loss or gain percent is









  1. View Hint View Answer Discuss in Forum

    Let C.P. of each article be Re. 1.
    ∴ C.P. of 40 articles = Rs. 40
    S.P. of 40 articles = Rs. 50
    Profit = S.P. of 40 articles - C.P. of 40 articles = 50 - 40 = Rs. 10

    ∴ Profit percent = Profit × 100%
    40

    Correct Option: A

    Let C.P. of each article be Re. 1.
    ∴ C.P. of 40 articles = Rs. 40
    S.P. of 40 articles = Rs. 50
    Profit = S.P. of 40 articles - C.P. of 40 articles = 50 - 40 = Rs. 10

    ∴ Profit percent = Profit × 100%
    40

    Profit percent = 10 × 100 = 25%
    40