Discount


  1. Articles are marked at a price which gives a profit of 25%. After allowing a certain
    discount the profit reduces to 12
    1
    %. The discount percent is
    2
    1. 11.1%
    2. 10%
    3. 12
      1
      %
      2
    4. 12%

  1. View Hint View Answer Discuss in Forum

    Let the C.P. of each article be Rs. 100.
    ∴  Marked price = Rs. 125
    On giving discount,
    S.P. = Rs. 112.5
    ∴  Discount
    = 125 – 112.5 = Rs. 12.5

    i.e., 12
    1
    %
    2

    Correct Option: C

    Let the C.P. of each article be Rs. 100.
    ∴  Marked price = Rs. 125
    On giving discount,
    S.P. = Rs. 112.5
    ∴  Discount
    = 125 – 112.5 = Rs. 12.5

    i.e., 12
    1
    %
    2


  1. A seller gains 20% profit even after allowing 10% discount. If the amount of profit on a TV set is Rs. 750, then the marked price of the TV set is
    1. Rs. 5200
    2. Rs. 5000
    3. Rs. 4800
    4. Rs. 5500

  1. View Hint View Answer Discuss in Forum

    S.P. of TV set = Rs.
    120
    × 750
    20

    = Rs. 4500
    If the marked price be Rs. x, then
    x × 90
    = 4500
    100

    ⇒  x =
    4500 × 100
    = Rs. 5000
    90

    Correct Option: B

    S.P. of TV set = Rs.
    120
    × 750
    20

    = Rs. 4500
    If the marked price be Rs. x, then
    x × 90
    = 4500
    100

    ⇒  x =
    4500 × 100
    = Rs. 5000
    90



  1. A shopkeeper, in order to clear his old stock of T.V. sets, offers 12% discount on the T.V. sets. If the marked price of a T.V. set is Rs. 6500, the selling price of the T.V. set is:
    1. Rs. 5700
    2. Rs. 5720
    3. Rs. 5400
    4. Rs. 6000

  1. View Hint View Answer Discuss in Forum

    Rate of discount = 12%
    ∴  S.P. of TV set
    = 6500 × (100 – 12)%

    =
    6500 × 88
    = Rs.5720
    100

    Second method :
    Here, D = 12%,
    M.P. = Rs. 6500, S.P. = ?
    M.P. =
    S.P. × 100
    100 − D

    6500 =
    S.P. × 100
    100 − 12

    S.P. =
    6500 × 88
    100

    S.P. = Rs. 5720

    Correct Option: B

    Rate of discount = 12%
    ∴  S.P. of TV set
    = 6500 × (100 – 12)%

    =
    6500 × 88
    = Rs.5720
    100

    Second method :
    Here, D = 12%,
    M.P. = Rs. 6500, S.P. = ?
    M.P. =
    S.P. × 100
    100 − D

    6500 =
    S.P. × 100
    100 − 12

    S.P. =
    6500 × 88
    100

    S.P. = Rs. 5720


  1. An item was sold for Rs. 3600 at 25% discount. Its marked price was
    1. Rs. 2880
    2. Rs. 2700
    3. Rs. 4800
    4. Rs. 4500

  1. View Hint View Answer Discuss in Forum

    C.P. of article = Rs. x (let).
    According to the question,

    x × 75
    = 3600
    100

    ⇒  x =
    3600 × 100
    = Rs. 4800
    75

    Second method :
    Here,S.P. = Rs. 3600
    D = 25%
    M.P. = ?
    M.P. =
    S.P. × 100
    100 − D

    M.P. =
    3600 × 100
    100 − 25

    M.P. =
    360000
    75

    = M.P. = Rs. 4800

    Correct Option: C

    C.P. of article = Rs. x (let).
    According to the question,

    x × 75
    = 3600
    100

    ⇒  x =
    3600 × 100
    = Rs. 4800
    75

    Second method :
    Here,S.P. = Rs. 3600
    D = 25%
    M.P. = ?
    M.P. =
    S.P. × 100
    100 − D

    M.P. =
    3600 × 100
    100 − 25

    M.P. =
    360000
    75

    = M.P. = Rs. 4800



  1. The marked price of a watch was Rs. 720. A man bought the same for Rs. 550.80 after getting two successive discounts, the first being 10%. The second discount rate is
    1. 18%
    2. 12%
    3. 14%
    4. 15%

  1. View Hint View Answer Discuss in Forum

    Marked price = Rs. 720
    Discount = 10%
    ∴  After a discount of 10%,

    S.P. = Rs.
    720 × 90
    100

    = Rs. 648
    Final S.P. = Rs. 550.80
    ∴  Discount = Rs. (648 – 550.80) = Rs. 97.2
    If the second discount be x%, then
    648 × x
    = 97.2
    100

    ⇒  x =
    97.2 × 100
    = 15%
    648

    Second method :
    S.P. = Rs. 550.80, M.P. = Rs. 720
    D1 = 10%, D2 = ?
    S.P. = M.P.
    100 − D1
    100 − D2
    100100

    550.80 = 720
    100 − 10
    100 − D2
    100100

    550.80 × 100 × 100
    = 100 − D2
    720 × 90

    85 = 100 − D2
    D2 = 100 − 85
    D2 = 15%

    Correct Option: D

    Marked price = Rs. 720
    Discount = 10%
    ∴  After a discount of 10%,

    S.P. = Rs.
    720 × 90
    100

    = Rs. 648
    Final S.P. = Rs. 550.80
    ∴  Discount = Rs. (648 – 550.80) = Rs. 97.2
    If the second discount be x%, then
    648 × x
    = 97.2
    100

    ⇒  x =
    97.2 × 100
    = 15%
    648

    Second method :
    S.P. = Rs. 550.80, M.P. = Rs. 720
    D1 = 10%, D2 = ?
    S.P. = M.P.
    100 − D1
    100 − D2
    100100

    550.80 = 720
    100 − 10
    100 − D2
    100100

    550.80 × 100 × 100
    = 100 − D2
    720 × 90

    85 = 100 − D2
    D2 = 100 − 85
    D2 = 15%