Discount


  1. While selling, businessman allows 40% discount on thee marked price and there is a loss of 30%. If it is sold at the marked price, profit per cent will be
    1. 10%
    2. 20%
    3. 162/3%
    4. 161/3%

  1. View Hint View Answer Discuss in Forum

    Let MP of an article = ₹ N
    ∴ SP of an article = N x (100 - 40)/100 = ₹ 3N / 5
    CP of an article = {(3N/5) x 100}/{100 - 30}
    = (3N/5) x (100/70) = ₹ 6N/7.

    ∴ Profit when sold at MP = N - (6N/7) = ₹ N/7

    Correct Option: C

    Let MP of an article = ₹ N
    ∴ SP of an article = N x (100 - 40)/100 = ₹ 3N / 5
    CP of an article = {(3N/5) x 100}/{100 - 30}
    = (3N/5) x (100/70) = ₹ 6N/7.

    ∴ Profit when sold at MP = N - (6N/7) = ₹ N/7
    Hence, profit per cent = [(N/7) / (6N/7)] x 100% = 50/3%
    = 162/3%


  1. A man bought an article listed at ₹ 1500 with a discount of 20 % offered on the list price . What additional discount must be offered to the man to bring the net price to ₹ 1104?
    1. 8 %
    2. 10 %
    3. 12 %
    4. 15 %

  1. View Hint View Answer Discuss in Forum

    ∵ Listed price of an article = ₹ 1500
    ∴ Price after first discount
    = 1500 x (1 -20/100) = 1500 x 4/5 = ₹ 1200
    Now, second discount = 1200 - 1104 = ₹ 96

    Correct Option: A

    ∵ Listed price of an article = ₹ 1500
    ∴ Price after first discount
    = 1500 x (1 -20/100) = 1500 x 4/5 = ₹ 1200
    Now, second discount = 1200 - 1104 = ₹ 96
    Hence, required percentage = (96/1200) x 100 % = 8 %



  1. The cost price of an article is ₹ 800 . After allowing a discount of 10 %, a gain of 12.5 % was made . Then, the marked price of the article is
    1. ₹ 1000
    2. ₹ 1100
    3. ₹ 1200
    4. ₹ 1300

  1. View Hint View Answer Discuss in Forum

    Here, CP = ₹ 800 , r = 10 % and R = 12.5 %
    ∴ Marked price (MP) = CP x (100 + R)/(100 - r)

    Correct Option: A

    Here, CP = ₹ 800 , r = 10 % and R = 12.5 %
    ∴ Marked price (MP) = CP x (100 + R)/(100 - r)
    = 800 x (100 + 12.5)/(100 - 10)
    = (800 x 112.5)/90 = ₹ 1000


  1. The marked price of a radio is ₹ 480 . The shopkeeper allows a discount of 10 % and gains 8 % . If no discount is allowed, his gain percent would be
    1. 18 %
    2. 18.5 %
    3. 20.5 %
    4. 20 %

  1. View Hint View Answer Discuss in Forum

    Here, MP = ₹ 480 , r = 10 % and R = 8 %
    ∴ CP = MP x (100 - r)/(100 + R)
    profit = MP - CP

    Correct Option: D

    Here, MP = ₹ 480 , r = 10 % and R = 8 %
    ∴ CP = MP x (100 - r)/(100 + R)
    = 480 x (100 - 10)/(100 + 8) = (480 x 90)/108 = ₹ 400
    ∴ Profit = 480 - 400 = ₹ 80
    Hence, profit percent = (80/400) x 100 % = 20 %



  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. 15 %
    2. 20 %
    3. 30 %
    4. 25 %

  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 %