Discount


  1. If on a marked price, the difference of selling prices with a discount of 30 % and two successive discounts of 20 % and 10 % is ₹ 72, then the marked price (in ₹) is
    1. ₹ 3600
    2. ₹ 3000
    3. ₹ 2500
    4. ₹ 2400

  1. View Hint View Answer Discuss in Forum

    Let the marked price = ₹ N
    The discount equivalent to successive discounts 20 % and 10 % = { r1 + r2 - (r1 r2)/100 } %
    Where, r1 = 20 and r2 = 10
    Then, 30 - 2 = 28 %
    According to the question,
    {(100 - 28)N}/100 - {(100 - 30)N}/100 = 72

    Correct Option: A

    Let the marked price = ₹ N
    The discount equivalent to successive discounts 20 % and 10 % = { r1 + r2 - (r1 r2)/100 } %
    Where, r1 = 20 and r2 = 10
    Then, 30 - 2 = 28 %
    According to the question,
    {(100 - 28)N}/100 - {(100 - 30)N}/100 = 72
    ⇒ (72N - 70N)/100 = 72
    ∴ N = (72 x 100)/2 = ₹ 3600


  1. A shopkeeper earns a profit of 12% on selling a book at 10% discount on the printed price. The ratio of the cost price and the printed price of the book is
    1. 45 : 56
    2. 8 : 11
    3. 47 : 56
    4. 3 : 4

  1. View Hint View Answer Discuss in Forum

    Let the CP of book = ₹ P
    Then, SP of book = {(100 + 12) x P}/100 = 112P/100
    Now, the printed price = ₹ Q
    Then, after discount,
    the SP = (100 - 10)Q/100 = 90Q/100
    Since, both SP are same.
    Then, 112P/100 = 90Q/100

    Correct Option: A

    Let the CP of book = ₹ P
    Then, SP of book = {(100 + 12) x P}/100 = 112P/100
    Now, the printed price = ₹ Q
    Then, after discount,
    the SP = (100 - 10)Q/100 = 90Q/100
    Since, both SP are same.
    Then, 112P/100 = 90Q/100
    ⇒ P/Q = 45/56
    ⇒ 45 : 56



  1. A manufacturer marked an article at ₹ 50 and sold it allowing 20% discount. If his profit was 25%, then the cost price of the article was
    1. ₹ 40
    2. ₹ 35
    3. ₹ 32
    4. ₹ 30

  1. View Hint View Answer Discuss in Forum

    ∵ Marked price of an article = ₹ 50
    ∴ SP of an article = 50 x (100 - 20)/100
    = (50 x 80)/100
    = ₹ 40

    Hence, cost price of an article = (40 x 100)/(100 + 25)

    Correct Option: C

    ∵ Marked price of an article = ₹ 50
    ∴ SP of an article = 50 x (100 - 20)/100
    = (50 x 80)/100
    = ₹ 40

    Hence, cost price of an article = (40 x 100)/(100 + 25)
    = (40 x 100)/125
    = ₹ 32


  1. A seller marks his goods 30% above their cost price but allows 15% discount for cash payment. His percentage of profit when sold in cash, is ?
    1. 10.5%
    2. 15%
    3. 9%
    4. 8.5%

  1. View Hint View Answer Discuss in Forum

    Let CP of the goods = ₹ N
    ∴ Marked price of the goods = N x {(100 + 30)/100} = ₹ 13N/10

    Now, SP of the goods = (13N/10) x (100 - 15/100)
    = (13N/10) x (85/100) = ₹ 221N/200

    ⇒ Profit = {(221 x N)/200} - N = ₹ 21N/200

    Correct Option: A

    Let CP of the goods = ₹ N
    ∴ Marked price of the goods = N x {(100 + 30)/100} = ₹ 13N/10

    Now, SP of the goods = (13N/10) x (100 - 15/100)
    = (13N/10) x (85/100) = ₹ 221N/200

    ⇒ Profit = {(221 x N)/200} - N = ₹ 21N/200

    Hence, profit per cent = [{21N/200} /N] x 100 % = 2100/200 = 10.5 %



  1. By selling an article at 3/4th of the marked price, there is a gain of 25%. The ratio of the marked price and the cost price is
    1. 5 : 3
    2. 3 : 5
    3. 3 : 4
    4. 4 : 3

  1. View Hint View Answer Discuss in Forum

    Let MP of an article = ₹ R
    ∴ SP of an article = ₹ 3R/4
    and CP of an article
    = (3R/4) x {100/(100 + 25)}

    Correct Option: A

    Let MP of an article = ₹ R
    ∴ SP of an article = ₹ 3R/4
    and CP of an article
    = (3R/4) x {100/(100 + 25)}
    = 3R/4 x (100/125)
    = ₹ 3R/5
    Required ratio = R : 3R/5 = 5 : 3