Discount


  1. A dealer allows his customers a discount of 25% and still gains 25%. If an article costs Rs. 1,440 to the dealer; then its marked price is
    1. Rs. 1,850
    2. Rs. 2,400
    3. Rs. 2,560
    4. Rs. 1,500

  1. View Hint View Answer Discuss in Forum

    Let the marked price of article be Rs. x
    According to the question,

    x × 75
    =
    1440 × 125
    100100

    ⇒  x =
    1440 × 125
    = Rs. 2400
    75

    Second method :
    Here, D = 25%, r = 25%, C.P. = Rs. 1440, M.P. = ?
    M.P.
    =
    100 + r
    C.P.100 − D

    M.P.
    =
    100 + 25
    1440100 − 25

    M.P. =
    125 × 1440
    = Rs. 2400
    75

    Correct Option: B

    Let the marked price of article be Rs. x
    According to the question,

    x × 75
    =
    1440 × 125
    100100

    ⇒  x =
    1440 × 125
    = Rs. 2400
    75

    Second method :
    Here, D = 25%, r = 25%, C.P. = Rs. 1440, M.P. = ?
    M.P.
    =
    100 + r
    C.P.100 − D

    M.P.
    =
    100 + 25
    1440100 − 25

    M.P. =
    125 × 1440
    = Rs. 2400
    75


  1. The listed price of a shirt is ₹ 270 and it is available at ₹ 237.60. The rate of discount is
    1. 10%
    2. 12%
    3. 15%
    4. 20%

  1. View Hint View Answer Discuss in Forum

    Discount = 270 – 237.60 = Rs. 32.4
    If the rate of discount be x%, then

    270 ×
    x
    = 32.4
    100

    ⇒  x =
    32.4 × 100
    = 12%
    270

    Second method :
    Here, S.P. = Rs. 237.60,
    M.P. = Rs. 270
    Discount % =
    M.P. − S.P.
    × 100%
    M.P.

    =
    270 − 237.60
    × 100%
    270

    =
    32.40 × 100
    % = 12%
    270

    Correct Option: B

    Discount = 270 – 237.60 = Rs. 32.4
    If the rate of discount be x%, then

    270 ×
    x
    = 32.4
    100

    ⇒  x =
    32.4 × 100
    = 12%
    270

    Second method :
    Here, S.P. = Rs. 237.60,
    M.P. = Rs. 270
    Discount % =
    M.P. − S.P.
    × 100%
    M.P.

    =
    270 − 237.60
    × 100%
    270

    =
    32.40 × 100
    % = 12%
    270



  1. The marked price of an item is twice the cost price. For a gain of 15%, the discount should be
    1. 7.5%
    2. 20.5%
    3. 32.5%
    4. 42.5%

  1. View Hint View Answer Discuss in Forum

    C.P. of item = 100 (let)
    ∴  Marked price of item = ₹ 200
    S.P. for a gain of 15% = ₹ 115
    ∴  Discount = 200 – 115 = ₹ 85
    If discount percent be x%, then

    200 × x

    = 85
    100

    ⇒ 2x = 85 ⇒ x =
    85
    = 42.5%
    2

    Second method :
    Let, C.P. = ₹ x,
    M.P. = ₹ 2x, r = 15%
    M.P.
    =
    100 + r
    C.P.100 − D

    2x
    =
    100 + 15
    x100 − D

    200 – 2D = 115
    2D = 85
    D = 42.5%

    Correct Option: D

    C.P. of item = 100 (let)
    ∴  Marked price of item = ₹ 200
    S.P. for a gain of 15% = ₹ 115
    ∴  Discount = 200 – 115 = ₹ 85
    If discount percent be x%, then

    200 × x

    = 85
    100

    ⇒ 2x = 85 ⇒ x =
    85
    = 42.5%
    2

    Second method :
    Let, C.P. = ₹ x,
    M.P. = ₹ 2x, r = 15%
    M.P.
    =
    100 + r
    C.P.100 − D

    2x
    =
    100 + 15
    x100 − D

    200 – 2D = 115
    2D = 85
    D = 42.5%


  1. A table with marked price ₹ 1200 was sold to a customer for ₹ 1100. Find the rate of discount allowed on the table.
    1. 9%
    2. 8
      1
      %
      3
    3. 9
      1
      %
      3
    4. 10%

  1. View Hint View Answer Discuss in Forum

    Rate of discount = x%

    ∴  1200 ×
    x
    = 1200 − 1100
    100

    ⇒  12x = 100
    ⇒ x =
    100
    =
    25
    = 8
    1
    %
    1233

    Second method :
    Here, M.P. = ₹ 1200,
    S.P. = ₹ 1100
    Discount % =
    M.P. − S.P.
    × 100
    M.P.

    =
    1200 − 1100
    × 100
    1200

    =
    100 × 100
    = 8
    1
    %
    12003

    Correct Option: B

    Rate of discount = x%

    ∴  1200 ×
    x
    = 1200 − 1100
    100

    ⇒  12x = 100
    ⇒ x =
    100
    =
    25
    = 8
    1
    %
    1233

    Second method :
    Here, M.P. = ₹ 1200,
    S.P. = ₹ 1100
    Discount % =
    M.P. − S.P.
    × 100
    M.P.

    =
    1200 − 1100
    × 100
    1200

    =
    100 × 100
    = 8
    1
    %
    12003



  1. A machine is marked at ₹ 6,800 and available at a discount of 10%. The shopkeeper gives another off season discount to the buyer and sells the machine for ₹ 5,202. Find the off season discount.
    1. 10%
    2. 12%
    3. 15%
    4. 18%

  1. View Hint View Answer Discuss in Forum

    Price after discount of 10% =
    6800 × 90
    = ₹ 6120
    100

    If the seasonal discount be x%, then
    6120 × x

    = 6120 – 5202 = 918
    100

    ⇒  x =
    918 × 100
    = 15%
    6120

    Correct Option: C

    Price after discount of 10% =
    6800 × 90
    = ₹ 6120
    100

    If the seasonal discount be x%, then
    6120 × x

    = 6120 – 5202 = 918
    100

    ⇒  x =
    918 × 100
    = 15%
    6120