Discount


  1. A chair listed at ₹ 350 is available at successive discounts of 25% and 10%. The selling price of the chair is
    1. ₹ 236.25
    2. ₹ 230.25
    3. ₹ 240.25
    4. ₹ 242.25

  1. View Hint View Answer Discuss in Forum

    Single equivalent discount = 25 + 10 −
    25 × 10
    = 32.5%
    100

    Alternate method to solve this question :
    Here, M.P. = 350, D1 = 25 %, D2 = 10 %
    S.P. = M.P.
    100 − D1
    100 − D2
    100100

    Correct Option: A

    Single equivalent discount = 25 + 10 −
    25 × 10
    = 32.5%
    100

    ∴  S.P. of chair =
    350 (100 − 32.5)
    100

    ∴  S.P. of chair =
    350 × 67.5
    = ₹ 236.25
    100

    Alternate method to solve this question :
    Here, M.P. = 350, D1 = 25 %, D2 = 10 %
    S.P. = M.P.
    100 − D1
    100 − D2
    100100

    S.P = 350 ×
    100 − 25
    100 − 10
    100100

    S. P = 350 ×
    75
    ×
    90
    = ₹ 236.25
    100100


  1. The price of a certain television set is discounted by 10% and the reduced price is then discounted by 10%. This series of successive discounts is equivalent to a single discount of
    1. 20%
    2. 19%
    3. 18%
    4. 11%

  1. View Hint View Answer Discuss in Forum

    As we know that ,

    Equivalent single discount = D1 + D2
    D1 × D2
    %
    100

    Correct Option: B

    As we know that ,

    Equivalent single discount = D1 + D2
    D1 × D2
    %
    100

    Single equivalent discount = 10 + 10 −
    10 × 10
    % = 19%
    100



  1. The marked price of a watch is ₹ 1,600. The shopkeeper gives successive discounts of 10 % and D % to the customer. If the customer pays ₹ 1,224 for the watch, the value of D is
    1. 5%
    2. 10%
    3. 15%
    4. 20%

  1. View Hint View Answer Discuss in Forum

    S.P after first discount =
    1600 × 90
    = ₹ 1440
    100

    ∴  Second discount = 1440 – 1224 = ₹ 216

    Correct Option: C

    S.P after first discount =
    1600 × 90
    = ₹ 1440
    100

    ∴  Second discount = 1440 – 1224 = ₹ 216
    ∴ 
    1440 × D
    = 216
    100

    ∴  D =
    216 × 100
    = 15%
    1440


  1. A shopkeeper purchased a chair marked at ₹ 800, at two successive discounts of 10% and 15% respectively. He spent ₹ 28 on transportation and sold the chair for 800. His gain percent is :
    1. 40%
    2. 30%
    3. 25%
    4. 14%

  1. View Hint View Answer Discuss in Forum

    Single equivalent discount

    = 15 + 10 −
    15 × 10
    = 23.5%
    100

    ∴  Cost price =
    800 × 76.5
    100

    Correct Option: C

    Single equivalent discount

    = 15 + 10 −
    15 × 10
    = 23.5%
    100

    ∴  Cost price =
    800 × 76.5
    100

    = ₹ 612
    Actual C.P = ₹ (612 + 28) = ₹ 640
    ∴ Gain % =
    800 − 640
    × 100
    100

    ∴ Gain % =
    160 − 100
    = 25 %
    640



  1. The single discount equal to three consecutive discounts of 10%, 12% and 5% is
    1. 26.27%
    2. 24.76%
    3. 9%
    4. 11%

  1. View Hint View Answer Discuss in Forum

    Single equivalent discount for 10% and 12%.

    = 12 + 10 −
    20 × 10
    % = 20.8%
    100

    Single equivalent discount for 20.8% and 5%.
    Similarly calculate the same.

    Alternate method to solve this question :
    Here, D1 = 10%, D2 = 12%,D3 = 5%
    Single equivalent discount
    = 100 −
    100 − D1
    100 − D2
    100 − D3
    × 100
    100100100

    = 100 −
    100 − 10
    100 − 12
    100 − 5
    × 100
    100100100

    Correct Option: B

    Single equivalent discount for 10% and 12%.

    = 12 + 10 −
    20 × 10
    % = 20.8%
    100

    Single equivalent discount for 20.8% and 5%.
    = 20.8 + 5 −
    20.8 × 5
    % = 24.76%
    100

    Alternate method to solve this question :
    Here, D1 = 10%, D2 = 12%,D3 = 5%
    Single equivalent discount
    = 100 −
    100 − D1
    100 − D2
    100 − D3
    × 100
    100100100

    = 100 −
    100 − 10
    100 − 12
    100 − 5
    × 100
    100100100

    = 100 −
    90
    ×
    88
    ×
    95
    × 100
    100100100

    = 100 – 75.24 = 24.76%