Discount


  1. The single discount equivalent to the discount series of 20%,10% and 5% is :
    1. 11.66%
    2. 31.6%
    3. 35.66%
    4. 32%

  1. View Hint View Answer Discuss in Forum

    Single equivalent discount for 20% and 10%

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

    Single equivalent discount for 28% and 5%
    = 28 + 5 −
    28 × 5
    % = 31.6%
    100

    Correct Option: B

    Single equivalent discount for 20% and 10%

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

    Single equivalent discount for 28% and 5%
    = 28 + 5 −
    28 × 5
    % = 31.6%
    100

    Alternate method to solve this question :
    Here, D1 = 20%, D2 = 10%,D3 = 5%
    Single equivalent discount
    = 100 −
    100 − D1
    100 − D2
    100 − D3
    × 100
    100100100

    = 100 −
    100 − 20
    100 − 10
    100 − 5
    × 100
    100100100

    = 100 −
    80
    ×
    90
    ×
    95
    × 100
    100100100

    = 100 – 68.40 = 31.60%


  1. The single discount which is equivalent to successive discounts of 20%, 15% and 10% is
    1. 32·7%
    2. 34·2%
    3. 36·9%
    4. 38·8%

  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

    Single equivalent discount for 20 % and 15 %
    = 20 + 15 −
    20 × 15
    % = 32%
    100

    Single equivalent discount for 32% and 10%
    = 32 + 10 −
    32 × 10
    % = 38.8%
    100

    Correct Option: D

    Use the below formula to calculate the Equivalent single discount.

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

    Single equivalent discount for 20% and 15%
    = 20 + 15 −
    20 × 15
    % = 32%
    100

    Single equivalent discount for 32% and 10%
    = 32 + 10 −
    32 × 10
    % = 38.8%
    100

    Alternate method to solve this question :
    Here, D1 = 20%, D2 = 15%,D3 = 10%
    Single equivalent discount
    = 100 −
    100 − D1
    100 − D2
    100 − D3
    × 100
    100100100

    = 100 −
    100 − 20
    100 − 15
    100 − 10
    × 100
    100100100

    Equivalent single discount = 100 −
    80
    ×
    85
    ×
    90
    × 100
    100100100

    Hence Equivalent single discount = 100 – 61.20 = 38.80%



  1. A single discount equivalent to discount series 20%, 20% and 10% is
    1. 50%
    2. 48.4%
    3. 42.4%
    4. 40.4%

  1. View Hint View Answer Discuss in Forum

    Single equivalent discount for 20% and 20%

    = 20 + 20 −
    20 × 20
    % = 36%
    100

    Single equivalent discount for 36% and 10%
    = 36 + 10 −
    36 × 10
    % = 42.4%
    100

    Correct Option: C

    Single equivalent discount for 20% and 20%

    = 20 + 20 −
    20 × 20
    % = 36%
    100

    Single equivalent discount for 36% and 10%
    = 36 + 10 −
    36 × 10
    % = 42.4%
    100

    Alternate method to solve this question :
    = 100 −
    100 − D1
    100 − D2
    100 − D3
    × 100
    100100100

    = 100 −
    100 − 20
    100 − 20
    100 − 10
    × 100
    100100100

    = 100 −
    80
    ×
    80
    ×
    90
    × 100
    100100100

    = 100 – 57.60 = 42.40


  1. The difference between a discount of 35 % and two successive discounts of 20 % on a certain bill was ₹ 22. The amount of the bill was
    1. ₹ 200
    2. ₹ 220
    3. ₹ 1,100
    4. ₹ 2,200

  1. View Hint View Answer Discuss in Forum

    Single equivalent discount of two successive discounts of 20 % each

    = 20 + 20 −
    20 × 20
    %
    100

    Correct Option: D

    Single equivalent discount of two successive discounts of 20% each

    = 20 + 20 −
    20 × 20
    %
    100

    = 36%
    If the amount of the bill be A, then
    ∴  (36 – 35)% of A = 22
    ⇒ 
    A
    = 22
    100

    ⇒ A = ₹ 2200



  1. The single discount equivalent to two successive discounts of 20% and 5% is
    1. 24%
    2. 25%
    3. 22%
    4. 23%

  1. View Hint View Answer Discuss in Forum

    Equivalent single discount = x + y −
    xy
    %
    100

    Correct Option: A

    Equivalent single discount = x + y −
    xy
    %
    100

    Equivalent single discount = 20 + 5 −
    20 × 5
    %
    100

    Equivalent single discount = (25 – 1)% = 24%