Discount


  1. 20% profit is made when a discount of 20% is given on the marked price. When the discount is 30% profit will be
    1. 4%
    2. 5%
    3. 6%
    4. 7.5%

  1. View Hint View Answer Discuss in Forum

    Let the marked price of article be Rs. M and its C.P. be Rs. 100.
    According to the question,

    M ×
    80
    =
    100 × 120
    100100

    ⇒  M =
    120 × 100
    = Rs. 150
    90

    Correct Option: B

    Let the marked price of article be Rs. M and its C.P. be Rs. 100.
    According to the question,

    M ×
    80
    =
    100 × 120
    100100

    ⇒  M =
    120 × 100
    = Rs. 150
    90

    S.P. after a discount of 30% =
    150 × 70
    100

    Selling Price = Rs. 105 i.e. gain = 5%


  1. A shopkeeper allows a discount of 10% on the marked price of a camera. Marked price of the camera, which costs him ₹ 600, to make a profit of 20% should be
    1. 700
    2. 750
    3. 650
    4. 800

  1. View Hint View Answer Discuss in Forum

    Let the marked price of the camera be Rs. m.
    According to the question,

    m × 90
    =
    600 × 120
    100100

    2nd method to solve this question.
    Here, r = 20%
    D = 10%
    C.P. = Rs. 600
    M.P. = ?
    M.P.
    =
    100 + r
    C.P.100 − D

    Correct Option: D

    Let the marked price of the camera be Rs. m.
    According to the question,

    m × 90
    =
    600 × 120
    100100

    ⇒  m × 90 = 600 × 120
    ⇒  m =
    600 × 120
    = Rs. 800
    90

    2nd method to solve this question.
    Here, r = 20%
    D = 10%
    C.P. = Rs. 600
    M.P. = ?
    M.P.
    =
    100 + r
    C.P.100 − D

    M.P.
    =
    100 + 20
    600100 − 10

    M.P. =
    120 × 600
    = 800
    90



  1. A tradesman marks his goods at 20 % above the cost price. He allows his customers a discount of 8% on the marked price. Then his profit % is
    1. 10.4%
    2. 11%
    3. 12.2%
    4. 9.7%

  1. View Hint View Answer Discuss in Forum

    Let the C.P. of article be Rs. 100,
    According to the questions
    Marked price of article = Rs. 120
    After a discount of 8%,

    S.P. =
    120 × 92
    100

    = Rs. 110.4 Gain
    = Rs. (110.4 – 100) = Rs. 10.4
    ∴  Gain % = 10.4%
    2nd method to solve this question.
    Here, r = 20%, r1 = 8%
    ⇒ Gain % =
    r × (100 − r1)
    − r1
    100

    Correct Option: A

    Let the C.P. of article be Rs. 100,
    According to the questions
    Marked price of article = Rs. 120
    After a discount of 8%,

    S.P. =
    120 × 92
    100

    = Rs. 110.4 Gain
    = Rs. (110.4 – 100) = Rs. 10.4
    ∴  Gain % = 10.4%
    2nd method to solve this question.
    Here, r = 20%, r1 = 8%
    ⇒ Gain % =
    r × (100 − r1)
    − r1
    100

    Gain % =
    20 × (100 − 8)
    − 8
    100

    Gain % =
    20 × 92
    − 8
    100

    Required Gain % = 18.4 – 8 = 10.4%


  1. If a person marks a product 25% above the cost price but allows 10% discount, then the percentage of profit is
    1. 35 %
    2. 15 %
    3. 17.5 %
    4. 12.5 %

  1. View Hint View Answer Discuss in Forum

    As we know the formula for profit %

    Profit percent = q + r +
    qr
    %
    100

    2nd method to solve this question.
    Here = r = 25%, r1 = 10%
    ⇒ Gain % =
    r ×(100 − r1)
    − r1
    100

    Correct Option: D

    As we know the formula for profit %

    Profit percent = q + r +
    qr
    %
    100

    = 25 − 10 −
    25 × 10
    %
    100

    = (15 – 2.5)% = 12.5 %
    2nd method to solve this question.
    Here = r = 25%, r1 = 10%
    ⇒ Gain % =
    r ×(100 − r1)
    − r1
    100

    Gain % =
    25 × (100 − 10)
    − 10
    100

    Gain % =
    25 × 90
    − 10
    100

    Required Gain % = 22.5 – 10 = 12.5%



  1. A dealer of scientific instruments allows 20% discount on the marked price of the instruments and still makes a profit of 25%. If his gain over the sale of an instrument is ₹ 150, find the marked price of the instrument.
    1. ₹ 938.50
    2. ₹ 940
    3. ₹ 938
    4. ₹ 937.50

  1. View Hint View Answer Discuss in Forum

    Let Marked price of instrument = Rs. p

    ∴  Its S.P. = Rs.
    80p
    100

    S.P. = Rs.
    4p
    5

    ∴  C.P.= Rs.
    4p
    − 150
    5

    ∴ 
    4p
    =
    4p
    − 150 ×
    125
    55100

    ⇒ 
    4p
    =
    4p
    − 150 ×
    5
    554


    ⇒ 
    4p
    ×
    4
    =
    4p
    − 150
    555

    ⇒ 
    4p
    16p
    = 150
    525

    Correct Option: D

    Let Marked price of instrument = Rs. p

    ∴  Its S.P. = Rs.
    80p
    100

    S.P. = Rs.
    4p
    5

    ∴  C.P.= Rs.
    4p
    − 150
    5

    ∴ 
    4p
    =
    4p
    − 150 ×
    125
    55100

    ⇒ 
    4p
    =
    4p
    − 150 ×
    5
    554


    ⇒ 
    4p
    ×
    4
    =
    4p
    − 150
    555

    ⇒ 
    4p
    16p
    = 150
    525

    ⇒ 
    20p − 16x
    = 150
    25

    ⇒ 
    4p
    = 150 ⇒ 4p = 150 × 25
    25

    ⇒  p =
    150 × 25
    = Rs. 937.5
    4