Discount


  1. By selling an article at 80 % of its marked price, a trader makes a loss of 10 %, what will be a profit percentage, if he sells it at 95 % of its marked price?
    1. 6.9 %
    2. 5 %
    3. 5.9 %
    4. 12.5 %

  1. View Hint View Answer Discuss in Forum

    Let marked price = ₹ 100
    And selling price = ₹ 80

    In condition of 10% loss the cost price of article = (80 x 100)/90 = ₹ 800/9

    Correct Option: A

    Let marked price = ₹ 100
    And selling price = ₹ 80

    In condition of 10% loss the cost price of article = (80 x 100)/90 = ₹ 800/9

    According to the question,
    When SP = 95, then
    ∴ Required profit percentage = [{95 - (800/9)} / (800/9)] x 100 = 55/8
    = 6.9% (approx)


  1. What is the maximum percentage discount (approximately) that a merchant can offer on his marked price, so that he ends up selling at no profit or loss, if he initially marked his goods up by 40%?
    1. 60%
    2. 28.5%
    3. 33.5%
    4. No discount

  1. View Hint View Answer Discuss in Forum

    Let cost price = ₹ 100
    And marked price = 100 + 40 = ₹ 140
    Let required discount be R %.

    According to the question,
    140 x (100 - R)/100 = 100

    Correct Option: B

    Let cost price = ₹ 100
    And marked price = 100 + 40 = ₹ 140
    Let required discount be R %.

    According to the question,
    140 x (100 - R)/100 = 100
    ⇒ 100 - R = (100 x 100) / 140
    ∴ R = 100 - (100 x 100) / 140
    = (40 x 100) / 140
    = 28.5 % (approx)



  1. A shopkeeper allows a discount of 10% to his customers and still gains 20%, the marked price of the article which costs ₹ 450, is
    1. ₹ 600
    2. ₹ 540
    3. ₹ 660
    4. ₹ 580

  1. View Hint View Answer Discuss in Forum

    Here, r = 10% and R = 20%
    ∴ Required per cent = (r + R)/(100 - r) x 100 %
    = [(10 + 20)/(100 - 10)] x 100% = (30 x 100)/90 %

    This shows that the marked price of the item is 100/3 % more
    than its cost price.

    Correct Option: A

    Here, r = 10% and R = 20%
    ∴ Required per cent = (r + R)/(100 - r) x 100 %
    = [(10 + 20)/(100 - 10)] x 100% = (30 x 100)/90 %

    This shows that the marked price of the item is 100/3 % more
    than its cost price.

    ∴ Marked price of the article = (450 x 400)/300
    = ₹ 600


  1. A dozen pair of socks quoted ₹ 80 are available at a discount of 10%. How many pair of socks can be bough for ₹ 24 ?
    1. 4
    2. 5
    3. 3
    4. 6

  1. View Hint View Answer Discuss in Forum

    ∵ MP of one dozen of pairs of socks = ₹ 80
    ∴ SP of one dozen of pairs of socks
    =80 x (100 - 10)/100 = 80 x 90/100= ₹ 72

    Correct Option: A

    ∵ MP of one dozen of pairs of socks = ₹ 80
    ∴ SP of one dozen of pairs of socks
    =80 x (100 - 10)/100 = 80 x 90/100= ₹ 72

    Hence, required number of pairs of socks
    purchased for ₹ 24 = (12 x 24)/72 = 4



  1. A seller increases the cost price of an article by 30% and fixed the marked price as Rs. 286. But during sale he gave 10% discount to the purchaser. Percentage of profit will be
    1. 17
    2. 15
    3. 10
    4. 20

  1. View Hint View Answer Discuss in Forum

    According to question ,

    C.P. of article = Rs.
    100
    × 286 = Rs. 220
    130

    S.P. of article =
    286 × 90
    = Rs. 257.40
    100

    Correct Option: A

    According to question ,

    C.P. of article = Rs.
    100
    × 286 = Rs. 220
    130

    S.P. of article =
    286 × 90
    = Rs. 257.40
    100

    ∴  Profit = Rs. (257.40 – 220) = Rs. 37.40
    ∴  Profit percent =
    37.40 × 100
    = 17%
    220