Discount


  1. A shopkeeper allows a discount of 12.5 % on the marked price of a certain article and makes a profit of 20 %. If the article costs the shopkeeper ₹ 210, then the marked price of the article will be
    1. ₹ 387
    2. ₹ 350
    3. ₹ 386
    4. ₹ 288

  1. View Hint View Answer Discuss in Forum

    Let Marked price of article = ₹ p

    ∴ 
    p × (100 − 12.5)
    =
    210 × 120
    100100

    2nd method to solve this question.
    Here,R= 20%, D = 12.5%,
    C.P. = ₹ 210, M.P. = ?
    M.P.
    =
    100 + r
    C.P.100 − D

    Correct Option: D

    Let Marked price of article = ₹ p

    ∴ 
    p × (100 − 12.5)
    =
    210 × 120
    100100

    ⇒  p × 87.5 = 210 ×120
    ⇒  p =
    210 × 120
    = ₹ 288
    87.5

    2nd method to solve this question.
    Here,R= 20%, D = 12.5%,
    C.P. = ₹ 210, M.P. = ?
    M.P.
    =
    100 + r
    C.P.100 − D

    M.P.
    =
    100 + 20
    210100 − 12.5

    M.P. =
    120
    × 210
    87.5

    Hence Marked Price = ₹ 288


  1. The cost price of a table is ₹ 3,200. A merchant wants to make 25 % profit by selling it. At the the time of sale he declares a discount of 20 % on the marked price. The marked price (in ₹) is
    1. 5,000
    2. 6,000
    3. 4,000
    4. 4,500

  1. View Hint View Answer Discuss in Forum

    Let the marked price of table be ₹ p.

    ∴ 
    p × 80
    =
    3200 × 125
    100100

    2nd method to solve this question.
    Here, r = 25%, D = 20%,
    C.P. = ₹ 3200, M.P. = ?
    M.P.
    =
    100 + r
    C.P.100 − D

    Correct Option: A

    Let the marked price of table be ₹ p.

    ∴ 
    p × 80
    =
    3200 × 125
    100100

    ⇒  p × 80 = 3200 × 125
    ⇒  p =
    3200 × 125
    = ₹ 5000
    80

    2nd method to solve this question.
    Here, r = 25%, D = 20%,
    C.P. = ₹ 3200, M.P. = ?
    M.P.
    =
    100 + r
    C.P.100 − D

    M.P.
    =
    100 + 25
    3200100 − 20

    M.P. =
    125 × 3200
    = ₹ 5000
    80



  1. Jasmine allows 4% discount on the marked price of her goods and still earns a profit of 20%. What is the cost price of a shirt if its marked price is ₹ 850?
    1. ₹ 650
    2. ₹ 720
    3. ₹ 700
    4. ₹ 680

  1. View Hint View Answer Discuss in Forum

    Let Cost price of the shirt = ₹ p

    ∴  p ×
    120
    =
    850 × 96
    100100

    2nd method to solve this question.
    Here r = 20%, D = 4%,
    M.P. = ₹ 850, C.P. = ?
    M.P.
    =
    100 + r
    C.P.100 − D


    Correct Option: D

    Let Cost price of the shirt = ₹ p

    ∴  p ×
    120
    =
    850 × 96
    100100

    ⇒  p × 120 = 850 × 96
    ⇒  p =
    850 × 96
    = ₹ 680
    120

    2nd method to solve this question.
    Here r = 20%, D = 4%,
    M.P. = ₹ 850, C.P. = ?
    M.P.
    =
    100 + r
    C.P.100 − D

    850
    =
    100 + 20
    C.P.100 − 4

    C.P. =
    850 × 96
    120

    C.P. = ₹ 680


  1. How much percent above the cost price should a shopkeeper mark his goods so as to earn a profit of 32% after allowing a discount of 12% on the marked price ?
    1. 50%
    2. 40%
    3. 60%
    4. 45%

  1. View Hint View Answer Discuss in Forum

    Let the C.P. be ₹ 100 and the marked price be ₹ p.

    ∴  p ×
    88
    = 132
    100

    2nd method to solve this question.
    Here, Gain % = 32%,, r1 = 12%, r = ?
    Gain % =
    r × (100 − r1)
    − r1
    100


    Correct Option: A

    Let the C.P. be ₹ 100 and the marked price be ₹ p.

    ∴  p ×
    88
    = 132
    100

    ⇒  p =
    132 × 100
    88

    = 150 i.e., more by 50%
    ∴  Required percentage = 50%
    2nd method to solve this question.
    Here, Gain % = 32%,, r1 = 12%, r = ?
    Gain % =
    r × (100 − r1)
    − r1
    100

    32 =
    r × (100 − 12)
    − 12
    100

    44 =
    r × 88
    100

    r = 50%



  1. To gain 8% after allowing a discount of 10%, by what percent cost price should be hiked in the list price ?
    1. 9%
    2. 11%
    3. 18%
    4. 20%

  1. View Hint View Answer Discuss in Forum

    Let the cost price be ₹ 100 and marked price be p.

    ∴ 
    p × 90
    = 108
    100

    ⇒ 
    9p
    = 108
    10

    2nd method to solve this question.
    Here, Gain % = 8%,, r1 = 10%, r = ?
    Gain % =
    r ×(100 − r1)
    − r1
    100

    Correct Option: D

    Let the cost price be ₹ 100 and marked price be p.

    ∴ 
    p × 90
    = 108
    100

    ⇒ 
    9p
    = 108
    10

    ⇒  p =
    108 × 10
    = 120
    9

    Required Percent = 20%
    2nd method to solve this question.
    Here, Gain % = 8%,, r1 = 10%, r = ?
    Gain % =
    r ×(100 − r1)
    − r1
    100

    8 =
    r × (100 − 10)
    − 10
    100

    8 =
    r × 90
    − 10
    9

    18 =
    r × 9
    = 20%
    9