Discount


  1. Two successive discounts of 20% and 20% is equivalent to a single discount of
    1. 42%
    2. 40%
    3. 36%
    4. 34%

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    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

    Equivalent single discount = 20 + 20 −
    20 × 20
    % = 36%
    100


  1. Successive discounts of 10%, 20% and 30% is equivalent to a single discount of
    1. 60%
    2. 49.6%
    3. 40.5%
    4. 36%

  1. View Hint View Answer Discuss in Forum

    Single equivalent discount for successive discounts of 10% and 20%.

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

    Single equivalent discount for 28% and 30%.
    Similarly calculate by using the formula for Equivalent discount of two successive discount D1 and discount D2.

    Correct Option: B

    Using Rule 5,
    Single equivalent discount for successive discounts of 10% and 20%.

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

    Single equivalent discount for 28% and 30%.
    = 28 + 30 −
    28 × 30
    % = 49.6%
    100



  1. The difference between a discount of 30% on ₹ 2,000 and two successive discounts of 25% and 5% on the same amount is
    1. ₹ 30
    2. ₹ 35
    3. ₹ 25
    4. ₹ 40

  1. View Hint View Answer Discuss in Forum

    Discount =
    30 × 2000
    = ₹ 600
    100

    Single equivalent discount for discounts of 25% and 5%.
    = 25 + 5 −
    25 × 5
    %
    100

    Correct Option: C

    Discount =
    30 × 2000
    = ₹ 600
    100

    Single equivalent discount for discounts of 25% and 5%.
    = 25 + 5 −
    25 × 5
    %
    100

    = (30 – 1.25)% = 28.75%
    ∴  Discount =
    28.75 × 2000
    = ₹ 575
    100

    ∴  Difference = ₹ (600 − 575) = ₹ 25


  1. The marked price of a T.V. is ₹ 16,000. After two successive discounts it is sold for ₹ 11,400. If the first discount is 5%, then the rate of second discount is
    1. 15%
    2. 20%
    3. 30%
    4. 25%

  1. View Hint View Answer Discuss in Forum

    After a discount of 5%

    SP =
    95 × 16000
    = ₹ 15200
    100

    Let the second discount be x%
    &there;  D2 % of 15200 = (15200 – 11400)
    ⇒ 
    x × 15200
    = 3800
    100

    Alternate method to solve this question :
    Here, M.P. = 16000,
    S.P. = 11400, D1 = 5%, D2 = ?
    S.P. = M.P.
    100 − D1
    100 − D2
    100100

    Correct Option: D

    After a discount of 5%

    SP =
    95 × 16000
    = ₹ 15200
    100

    Let the second discount be x%
    &there;  D2 % of 15200 = (15200 – 11400)
    ⇒ 
    x × 15200
    = 3800
    100

    ⇒  x =
    3800 × 100
    = 25
    15200

    ∴  Second discount = 25%
    Alternate method to solve this question :
    Here, M.P. = 16000,
    S.P. = 11400, D1 = 5%, D2 = ?
    S.P. = M.P.
    100 − D1
    100 − D2
    100100

    11400 = 16000
    100 − 5
    100 − D2
    100100

    11400
    = 100 − D2
    16 × 95

    75 = 100 − D2
    D2 = 25%



  1. The difference between a discount of 40% on ₹ 500 and two successive discounts of 30% and 10% on the same amount is
    1. ₹ 15
    2. ₹ 0
    3. ₹ 20
    4. ₹ 10

  1. View Hint View Answer Discuss in Forum

    As we know the formula for Equivalent discount.
    Single equivalent discount of two consecutive discount of 30% and 10%

    = 30 + 10 –
    30 × 10
    = 37%
    100

    ∴  Required difference = 40% of 500 – 37% of 500

    Correct Option: A

    As we know the formula for Equivalent discount.
    Single equivalent discount of two consecutive discount of 30% and 10%

    = 30 + 10 –
    30 × 10
    = 37%
    100

    ∴  Required difference = 40% of 500 – 37% of 500
    = 3% of 500
    = 500 ×
    3
    = ₹ 15
    100