Discount


  1. A shop-keeper sells a badminton racket whose marked price is ₹ 30, at a discount of 15% and gives a shuttle cock costing ₹ 1.50 free with each racket. Even then he makes a profit of 20%. His cost price, per racket, is
    1. ₹ 21.00
    2. ₹ 21.25
    3. ₹ 20.00
    4. ₹ 19.75

  1. View Hint View Answer Discuss in Forum

    Given that , marked price = ₹ 30 , Discount = 15%
    SP of racket = 85% of ₹ 30 = ₹ 25.50
    One shuttle cock of ₹ 1.50 is free.
    ∴  Actual SP = ₹ (25.50 – 1.50) = ₹ 24
    He still gains 20%

    Correct Option: C

    Given that , marked price = ₹ 30 , Discount = 15%
    SP of racket = 85% of ₹ 30 = ₹ 25.50
    One shuttle cock of ₹ 1.50 is free.
    ∴  Actual SP = ₹ (25.50 – 1.50) = ₹ 24
    He still gains 20%

    ∴  CP =
    100
    ×24 = ₹ 20
    120


  1. While selling a watch, a shopkeeper gives a discount of 5%. If he gives a discount of 6%, he earns ₹ 15 less as profit. What is the marked price of the watch?
    1. ₹ 1,250
    2. ₹ 1,400
    3. ₹ 1,500
    4. ₹ 750

  1. View Hint View Answer Discuss in Forum

    Let the marked price of watch be y.
    According to question ,
    ( 100 - 5 )% of y - ( 100 - 6 )% of y = ₹ 15
    ⇒ 95% of y - 94% of y = ₹ 15

    ∴ 
    y × 95
    -
    y × 94
    = 15
    100100

    Correct Option: C

    Let the marked price of watch be y.
    According to question ,
    ( 100 - 5 )% of y - ( 100 - 6 )% of y = ₹ 15
    ⇒ 95% of y - 94% of y = ₹ 15

    ∴ 
    y × 95
    -
    y × 94
    = 15
    100100

    ⇒  y = 15 × 100 = ₹ 1500



  1. The cost price of an article is 64% of the marked price. The gain percentage after allowing a discount of 12% on the marked price is
    1. 37.5%
    2. 48%
    3. 50.5%
    4. 52%

  1. View Hint View Answer Discuss in Forum

    Given , discount = 12%
    Let marked price of article = ₹ 100
    ∴  C.P. of article = ₹ 64
    ∴  S.P. of article = ₹ 88
    Profit = S.P. of article - C.P. of article = 88 - 64 = ₹ 24

    ∴ Profit percent =
    Profit
    ×100
    C.P. of article

    Correct Option: A

    Given , discount = 12%
    Let marked price of article = ₹ 100
    ∴  C.P. of article = ₹ 64
    ∴  S.P. of article = ₹ 88
    Profit = S.P. of article - C.P. of article = 88 - 64 = ₹ 24

    ∴ Profit percent =
    Profit
    ×100
    C.P. of article

    Profit percent =
    24
    ×100 = 37.5%
    64


  1. An article, which is marked ₹ 650, is sold for ₹ 572. The discount given is
    1. 12%
    2. 13%
    3. 21%
    4. 26%

  1. View Hint View Answer Discuss in Forum

    Given in question , marked price = ₹ 650, SP of article = ₹ 572
    ∴ Discount = marked price - SP of article = 650 – 572 = 78
    If the discount be d% then

    650 × d
    = 78
    100

    ⇒  d =
    78 × 100
    = 12%
    650

    Second method to solve this question :
    Here, M.P. = ₹ 650 , S.P. = ₹ 572
    Using the given formula ,
    Discount % =
    M.P.− S.P.
    ×100
    M.P.

    Correct Option: A

    Given in question , marked price = ₹ 650, SP of article = ₹ 572
    ∴ Discount = marked price - SP of article = 650 – 572 = 78
    If the discount be d% then

    650 × d
    = 78
    100

    ⇒  d =
    78 × 100
    = 12%
    650

    Second method to solve this question :
    Here, M.P. = ₹ 650 , S.P. = ₹ 572
    Using the given formula ,
    Discount % =
    M.P.− S.P.
    ×100
    M.P.

    Discount % =
    650 − 572
    ×100
    650

    Discount % =
    7800
    = 12%
    650



  1. The selling price of an article is ₹ 1,920 and the discount given is 4%. The marked price of the article is
    1. ₹ 2,400
    2. ₹ 2,000
    3. ₹ 1,600
    4. ₹ ,200

  1. View Hint View Answer Discuss in Forum

    The selling price of an article = ₹ 1,920
    If the marked price of the article be y, then
    96% of y = 1920

    ⇒ 
    y × 96
    = 1920
    100

    ⇒  y =
    1920 × 100
    = ₹ 2000
    96

    We can find the required answer with the help of given formula :
    Here , S.P. = ₹ 1920 , D = 4% , M.P. = ?
    M.P. =
    S.P. × 100
    100 − D

    Correct Option: B

    The selling price of an article = ₹ 1,920
    If the marked price of the article be y, then
    96% of y = 1920

    ⇒ 
    y × 96
    = 1920
    100

    ⇒  y =
    1920 × 100
    = ₹ 2000
    96

    We can find the required answer with the help of given formula :
    Here , S.P. = ₹ 1920 , D = 4% , M.P. = ?
    M.P. =
    S.P. × 100
    100 − D

    M.P. =
    1920 × 100
    100 − 4

    M.P. =
    1920 × 100
    = ₹ 2000
    96