Discount


  1. The single discount, which is equivalent to successive discounts of 25% and10 %, is :
    1. 35 %
    2. 34.5%
    3. 33 %
    4. 32.5 %

  1. View Hint View Answer Discuss in Forum

    Use the below formulae to calculate the Single equivalent discount.

    Single equivalent discount = x + y −
    xy
    %
    100

    Correct Option: D

    Use the below formulae to calculate the Single equivalent discount.

    Single equivalent discount = x + y −
    xy
    %
    100

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

    Single equivalent discount = 32.5%


  1. The discount series 10%, 20%, 40% is equivalent to a single discount of
    1. 50%
    2. 56.8%
    3. 60%
    4. 62.28%

  1. View Hint View Answer Discuss in Forum

    Single equivalent discount for 10% and 20%

    = 10 + 20 −
    20 × 10
    = 28%
    100

    Single equivalent discount for 28% and 40%
    Similarly calculate the single discount.
    Alternate method to solve this question :
    Here, D1 = 10%, D2 = 20%, D3 = 40%
    Single discount = 100 −
    100 − D1
    100 − D2
    100 − D3
    × 100
    100100100

    Correct Option: B

    Single equivalent discount for 10% and 20%

    = 10 + 20 −
    20 × 10
    = 28%
    100

    Single equivalent discount for 28% and 40%
    = 40 + 28 −
    28 × 40
    %
    100

    = (68 – 11.2) % = 56.8%
    Alternate method to solve this question :
    Here, D1 = 10%, D2 = 20%, D3 = 40%
    Single discount = 100 −
    100 − D1
    100 − D2
    100 − D3
    × 100
    100100100

    Single discount = 100 −
    100 − 10
    100 − 20
    100 − 40
    × 100
    100100100

    Single discount = 100 −
    90
    ×
    80
    ×
    60
    × 100
    100100100

    Single discount = 100 – 43.20 = 56.8%



  1. Two successive discounts of 5%, 10% are given for an article costing ₹ 850. Present cost of the article is (in ₹ ) :
    1. 725
    2. 726.75
    3. 700
    4. 650

  1. View Hint View Answer Discuss in Forum

    Use the below formula to calculate the Equivalent single discount.

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

    Correct Option: B

    Use the below formula to calculate the Equivalent single discount.

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

    Single equivalent discount
    = 5 + 10 −
    10 × 5
    % = 14.5%
    100

    ∴  Cost of article after discount
    =
    850 × (100 − 14.50)
    = ₹ 726.75
    100


  1. What single discount is equivalent to two successive discounts of 20% and 15%?
    1. 35%
    2. 32%
    3. 34%
    4. 30%

  1. View Hint View Answer Discuss in Forum

    Use the below formulae to calculate the Single equivalent discount.

    Single equivalent discount = x + y −
    xy
    %
    100

    Correct Option: B

    Use the below formulae to calculate the Single equivalent discount.

    Single equivalent discount = x + y −
    xy
    %
    100

    = 20 + 15 −
    20 × 15
    % = 32%
    100



  1. Two successive discounts of 10% and 5% are equivalent to a single discount of
    1. 14%
    2. 14.25%
    3. 14.50%
    4. 15%

  1. View Hint View Answer Discuss in Forum

    Use the below formula to calculate the Equivalent single discount.

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

    Correct Option: C

    Use the below formula to calculate the Equivalent single discount.

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

    Single equivalent discount = 10 + 5 −
    10 × 5
    %
    100

    = (15 – 0.5)% = 14.5%