Discount

Discount

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Aptitude miscellaneous
  1. A shopkeeper purchased a chair marked at ₹ 800, at two successive discounts of 10% and 15% respectively. He spent ₹ 28 on transportation and sold the chair for 800. His gain percent is :








  1. View Hint View Answer Discuss in Forum

    Single equivalent discount

    = 15 + 10 −
    15 × 10
    		 = 23.5%
    100

    ∴  Cost price =
    800 × 76.5
    100

    Correct Option: C

    Single equivalent discount

    = 15 + 10 −
    15 × 10
    		 = 23.5%
    100

    ∴  Cost price =
    800 × 76.5
    100

    = ₹ 612
    Actual C.P = ₹ (612 + 28) = ₹ 640
    ∴ Gain % =
    800 − 640
    		× 100
    100

    ∴ Gain % =
    160 − 100
    		 = 25 %
    640

  1. The marked price of a watch is ₹ 1,600. The shopkeeper gives successive discounts of 10 % and D % to the customer. If the customer pays ₹ 1,224 for the watch, the value of D is








  1. View Hint View Answer Discuss in Forum

    S.P after first discount =
    1600 × 90
    		 = ₹ 1440
    100

    ∴  Second discount = 1440 – 1224 = ₹ 216

    Correct Option: C

    S.P after first discount =
    1600 × 90
    		 = ₹ 1440
    100

    ∴  Second discount = 1440 – 1224 = ₹ 216
    ∴ 
    1440 × D
    		 = 216
    100

    ∴  D =
    216 × 100
    		 = 15%
    1440

  1. The marked price of a TV is ₹ 16000 . After two successive discounts, it is sold for ₹ 11400 . If the first discount is 5 % , then the rate of second discount is








  1. View Hint View Answer Discuss in Forum

    Let the rate of second discount = r %
    ∴ 11400 = 16000 (1 - 5/100) (1 - r/100)

    Correct Option: D

    Let the rate of second discount = r %
    ∴ 11400 = 16000 (1 - 5/100) (1 - r/100)
    ⇒ (11400/16000) x (20/19) = 1 - r/100
    ∴ r = 100 x (1 - 0.75) = 25 %

  1. A shopkeeper marked 50% more price than cost price of the article . If he allows 30% discount to his customers, then his profit per cent is








  1. View Hint View Answer Discuss in Forum

    Here, r = 50% and r1 = 30%
    ∴ Gain per cent = [r(100 - r1)/100] - r1

    Correct Option: A

    Here, r = 50% and r1 = 30%
    ∴ Gain per cent = [r(100 - r1)/100] - r1
    = [50 x (100 - 30)/100] - 30
    = 35 - 30 = 5%

  1. If a shopkeeper sold a book with 20% profit after giving a discount of 10% on marked price. The ratio of cost price and marked price of the book is








  1. View Hint View Answer Discuss in Forum

    Let the marked price of book = ₹ N
    Selling price after 10% discount = 90N/100 = ₹ 9N/10
    Profit = 20%
    ∴ Cost price of book = (9N/10) x (100N/120) = ₹ 3N/4

    Correct Option: C

    Let the marked price of book = ₹ N
    Selling price after 10% discount = 90N/100 = ₹ 9N/10
    Profit = 20%
    ∴ Cost price of book = (9N/10) x (100N/120) = ₹ 3N/4
    Hence, required ratio = 3N/4 : N = 3 : 4