Discount


  1. A tradesman marks his goods 10% above his cost price. If he allows his customers 10% discount on the marked price, how much profit or loss does he make, if any?
    1. 1% gain
    2. 1% loss
    3. 5% gain
    4. No gain, no loss

  1. View Hint View Answer Discuss in Forum

    As we know that ,

    Required loss =
    10 × 10
    = 1%
    100

    2nd method to solve this question.
    Here, r = 10% and r1 = 10%
    ⇒  Required profit or loss
    =
    r ×(100 − r1)
    −r1
    100
    =
    10 ×(100 − 10)
    −10
    100


    Correct Option: B

    As we know that ,

    Required loss =
    10 × 10
    = 1%
    100

    2nd method to solve this question.
    Here, r = 10% and r1 = 10%
    ⇒  Required profit or loss =
    r ×(100 − r1)
    −r1
    100
    =
    10 ×(100 − 10)
    −10
    100

    Required profit or loss = 9 – 10
    Required profit or loss = –1% (–ve sign shows loss)
    Required profit or loss = 1% loss


  1. A trader marks the sale price 25% more on cost price and gives a 10% discount at the time of selling. The gain % is
    1. 12
      1
      %
      2
    2. 12
      1
      %
      3
    3. 11
      1
      %
      2
    4. 12%

  1. View Hint View Answer Discuss in Forum

    Let us assume the C.P. of article be Rs. 100.
    According to question.
    ∴  Its marked price = Rs. 125

    S.P. = Rs.
    125 × 90
    = Rs. 112.5
    100

    2nd Method to solve this question.

    Profit % = x + y +
    xy
    %
    100

    where x = 25%; y = –10%

    Correct Option: A

    Let us assume the C.P. of article be Rs. 100.
    According to question.
    ∴  Its marked price = Rs. 125

    S.P. = Rs.
    125 × 90
    = Rs. 112.5
    100

    ∴  Profit % = 12.5 %
    2nd Method to solve this question.

    Profit % = x + y +
    xy
    %
    100

    where x = 25%; y = –10%
    Profit % = 25 − 10 −
    25 × 10
    %
    100

    Profit % = 12.5%



  1. A dinner set is quoted for Rs. 1500. A customer pays Rs. 1173 for it. If the customer got a series of two discounts and the rate of first discount is 15% then the rate of second discount was
    1. 15%
    2. 7%
    3. 9%
    4. 8%

  1. View Hint View Answer Discuss in Forum

    According to the question,
    First discount = 15%
    S.P. of dinner set after first discount = (100 – 15)% of Rs. 1500

    = Rs.
    1500 × 85
    = Rs. 1275
    100

    Second discount = Rs. ( 1275 – 1173 ) = Rs. 102

    Correct Option: D

    According to the question,
    First discount = 15%
    S.P. of dinner set after first discount = (100 – 15)% of Rs. 1500

    = Rs.
    1500 × 85
    = Rs. 1275
    100

    Second discount = Rs. ( 1275 – 1173 ) = Rs. 102
    If second discount be d %, then
    ∴ 
    1275 × d
    = 102
    100

    ⇒  d =
    102 × 100
    = 8%
    1275


  1. A shopkeeper offers 15% discount on all plastic toys. He offers a further discount of 4% on the reduced price to those customers who pay cash. What does a customer have to pay (in Rs.) in cash for a toy of Rs 200?
    1. 133.7
    2. 129.8
    3. 163.2
    4. 153.3

  1. View Hint View Answer Discuss in Forum

    The customer pays in cash.
    Single equivalent discount for 15% and 4%

    = 15 + 4 −
    15 × 4
    %
    100

    = (19 – 0.6)% = 18.4%
    ∴  Required S.P. = (100 – 18.4)% of 200

    Correct Option: C

    The customer pays in cash.
    Single equivalent discount for 15% and 4%

    = 15 + 4 −
    15 × 4
    %
    100

    = (19 – 0.6)% = 18.4%
    ∴  Required S.P. = (100 – 18.4)% of 200
    = Rs.
    200 × 81.6
    = Rs. 163.2
    100



  1. The list price of an electric fan is Rs. 300. If two successive discounts of 15% and 10% are
    allowed, its selling price would be
    1. Rs. 227.50
    2. Rs. 225
    3. Rs. 230
    4. Rs. 229.50

  1. View Hint View Answer Discuss in Forum

    Single equivalent discount for 15% and 10%. = 15 + 10 −
    15 × 10
    %
    100

    Single equivalent discount for 15% and 10%. = (25 – 1.5) % = 23.5 %
    ∴  Required S.P = (100 – 23.5)% of 300

    2nd Method to solve this question :
    According to given question.
    Here, M.P. = Rs. 300, S.P. = ?
    D1 = 15%, D2 = 10%
    S.P. = M.P.
    100 − D1
    100 − D2
    100100

    S.P = 300
    100 − 15
    100 − 10
    100100

    Correct Option: D

    Single equivalent discount for 15% and 10%. = 15 + 10 −
    15 × 10
    %
    100

    Single equivalent discount for 15% and 10%. = (25 – 1.5) % = 23.5 %
    ∴  Required S.P = (100 – 23.5)% of 300
    ∴  Required S.P =
    300 × 76.5
    = Rs. 229.5
    100

    2nd Method to solve this question :
    According to given question.
    Here, M.P. = Rs. 300, S.P. = ?
    D1 = 15%, D2 = 10%
    S.P. = M.P.
    100 − D1
    100 − D2
    100100


    S.P = 300
    100 − 15
    100 − 10
    100100
    S.P = 300 ×
    85
    ×
    90
    = 229.50
    100100