Discount


  1. While selling a shirt, a shopkeeper gives a discount of 7%. If he had given a discount of 9% he would have got ₹ 15 less as profit. The marked price of the shirt is
    1. ₹ 750
    2. ₹ 720
    3. ₹ 712.50
    4. ₹ 600

  1. View Hint View Answer Discuss in Forum

    Let the marked price of the shirt be y.
    Difference of discounts = ( 9 - 7 ) = 2%
    ∴  2% of y = 15

    ⇒ 
    y × 2
    = 15
    100

    Correct Option: A

    Let the marked price of the shirt be y.
    Difference of discounts = ( 9 - 7 ) = 2%
    ∴  2% of y = 15

    ⇒ 
    y × 2
    = 15
    100

    ⇒  y =
    15 × 100
    = ₹ 750
    2


  1. A trader gains 15% after selling an item at 10% discount on the printed price. The ratio of the cost price and printed price of the item is
    1. 18 : 23
    2. 17 : 18
    3. 17 : 23
    4. 18 : 25

  1. View Hint View Answer Discuss in Forum

    Given that , gains = 15% , discount = 10%
    Let the CP of article be p and its marked price be q.
    According to the question,
    90% of q = 115% of p

    ⇒ 
    q × 90
    =
    p × 115
    100100

    ⇒ 
    p
    =
    90
    =
    18
    ⇒18 : 23
    q11523

    Second method to solve this question :
    Here, r = 15%, D = 10%
    Using the given formula ,
    M.P.
    =
    100 + r
    C.P.100 − D

    Correct Option: A

    Given that , gains = 15% , discount = 10%
    Let the CP of article be p and its marked price be q.
    According to the question,
    90% of q = 115% of p

    ⇒ 
    q × 90
    =
    p × 115
    100100

    ⇒ 
    p
    =
    90
    =
    18
    ⇒18 : 23
    q11523

    Second method to solve this question :
    Here, r = 15%, D = 10%
    Using the given formula ,
    M.P.
    =
    100 + r
    C.P.100 − D

    M.P.
    =
    100 + 15
    C.P.100 − 10

    M.P.
    =
    115
    C.P.90

    C.P.
    =
    90
    M.P.115

    C.P.
    =
    18
    M.P.23

    ⇒  C.P. : M.P. = 18 : 23



  1. While selling a cooler, a shopkeeper gives a discount of 10% on the marked price. If he gives a discount of 12% he earns ₹ 35 less as profit. The marked price of the cooler is
    1. ₹ 1,650
    2. ₹ 1,625
    3. ₹ 1,725
    4. ₹ 1,750

  1. View Hint View Answer Discuss in Forum

    Let the market price of the cooler be y,
    According to the question,
    (12 – 10)% of y = 35
    ⇒ 2% of y = 35

    ⇒ 
    y × 2
    = 35
    100

    Correct Option: D

    Let the market price of the cooler be y,
    According to the question,
    (12 – 10)% of y = 35
    ⇒ 2% of y = 35

    ⇒ 
    y × 2
    = 35
    100

    ⇒  y =
    3500
    = ₹ 1750
    2


  1. An article is sold at a discount of 20% and an additional discount of 30% is allowed on cash payment. If Vidya purchased the article by paying ₹ 2240 in cash, the marked price of the article was
    1. ₹ 4000
    2. ₹ 4368
    3. ₹ 4400
    4. ₹ 4480

  1. View Hint View Answer Discuss in Forum

    Let the marked price of the article be y.
    For successive discounts of 30% and 20% ,

    Single Equivalent discount = 30 + 20 −
    30 × 20
    %
    100

    Single Equivalent discount = (50 – 6)% = 44%
    ⇒  (100 – 44)% of y = 2240
    ⇒ 
    y × 56
    = 2240
    100

    Correct Option: A

    Let the marked price of the article be y.
    For successive discounts of 30% and 20% ,

    Single Equivalent discount = 30 + 20 −
    30 × 20
    %
    100

    Single Equivalent discount = (50 – 6)% = 44%
    ⇒  (100 – 44)% of y = 2240
    ⇒ 
    y × 56
    = 2240
    100

    ⇒  y =
    2240 × 100
    = ₹ 4000
    56



  1. Ravi buys an article with a discount of 25% on its marked price. He makes a profit of 10% by selling it at ₹ 660. The marked price of the article was:
    1. ₹ 600
    2. ₹ 700
    3. ₹ 800
    4. ₹ 685

  1. View Hint View Answer Discuss in Forum

    Here , selling price = ₹ 660 , discount = 25% and profit = 10%

    CP of the article for Ravi = 660 ×
    100
    = ₹ 600
    110

    Ravi bought the article at the discount of 25%
    ∴  75% of marked price = ₹ 600

    Correct Option: C

    Here , selling price = ₹ 660 , discount = 25% and profit = 10%

    CP of the article for Ravi = 660 ×
    100
    = ₹ 600
    110

    Ravi bought the article at the discount of 25%
    ∴  75% of marked price = ₹ 600
    Marked price =
    600 × 100
    = ₹ 800
    75