Discount


  1. A trader lists his article 20 % above their cost prices and allows a discount of 10 % at the time of sale . His gain percent is
    1. 5 %
    2. 6 %
    3. 8 %
    4. 10 %

  1. View Hint View Answer Discuss in Forum

    Let the CP = N
    ∴ Marked price of item = (N x 120)/100 = 6N/5
    Then, SP of item = (6N/5) x (100 -10)/100 = 27N/25
    Profit = (27N/25) - N = 2N/25

    Correct Option: C

    Let the CP = N
    ∴ Marked price of item = (N x 120)/100 = 6N/5
    Then, SP of item = (6N/5) x (100 -10)/100 = 27N/25
    Profit = (27N/25) - N = 2N/25
    Profit % = [(2N/25) / N] x 100% = 8 %


  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 MP of the shirt = ₹ N
    According to the question,
    [(9 - 7) x N] / 100 = 15

    Correct Option: A

    Let MP of the shirt = ₹ N
    According to the question,
    [(9 - 7) x N] / 100 = 15
    ⇒ N = (15 x 100) / 2 = ₹ 750



  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. ₹ 1250
    2. ₹ 1400
    3. ₹ 1500
    4. ₹ 750

  1. View Hint View Answer Discuss in Forum

    Given, r1 = 5 %, r2 = 6 %and earning = ₹ 15
    Let marked price of the watch be ₹ N .
    Then, (6 - 5) % of N = 15

    Correct Option: C

    Given, r1 = 5 %, r2 = 6 %and earning = ₹ 15
    Let marked price of the watch be ₹ N .
    Then, (6 - 5) % of N = 15
    ⇒ N = 15 x 100
    ∴ N = ₹ 1500


  1. After allowing a discount of 16%, there was still a gain of 5%. Then, the percentage of marked price over the cost price is
    1. 15%
    2. 18%
    3. 21%
    4. 25%

  1. View Hint View Answer Discuss in Forum

    Here, r = 16% and R = 5%
    ∴ Required percentage
    = [(r + R)/(100 - r)] x 100%

    Correct Option: D

    Here, r = 16% and R = 5%
    ∴ Required percentage
    = [(r + R)/(100 - r)] x 100%
    = [(16 + 5)/(100 - 16)] x 100% = 21 x 100/84% = 25 %



  1. A Shopkeeper marks an article at ₹ 60 and sells at a discount of 15%. He also gives a gift worth ₹ 3 . If the still makes 20% profit, the cost price is
    1. ₹ 22
    2. ₹ 32
    3. ₹ 40
    4. ₹ 42

  1. View Hint View Answer Discuss in Forum

    ∵ MP of the article = ₹ 60
    SP of the article = [60 x (100 - 15)]/100
    = (60 x 85)/100 = ₹ 51

    Thus, actual SP of the article = (51 - 3) = ₹ 48
    Hence, CP of the article = (48 x 100)/(100 + 20)

    Correct Option: C

    ∵ MP of the article = ₹ 60
    SP of the article = [60 x (100 - 15)]/100
    = (60 x 85)/100 = ₹ 51

    Thus, actual SP of the article = (51 - 3) = ₹ 48
    Hence, CP of the article = (48 x 100)/(100 + 20)
    = (48 x 100)/120
    = ₹ 40