Profit and Loss


  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



  1. The cost price of 25 books is equal to the selling price of 20 books. The profit per cent is









  1. View Hint View Answer Discuss in Forum

    Let the cost price of each book be Re. 1.
    ∴ C.P. of 20 books = Rs. 20
    S.P. of 20 books = Rs. 25
    Profit = S.P. - C.P. = 25 - 20 = Rs. 5

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

    Correct Option: D

    Let the cost price of each book be Re. 1.
    ∴ C.P. of 20 books = Rs. 20
    S.P. of 20 books = Rs. 25
    Profit = S.P. - C.P. = 25 - 20 = Rs. 5

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

    Profit percent =
    5 × 100
    = 25%
    20