Discount


  1. A company offers 3 types of successive discounts : (i) 25% and 15%, (ii) 30% and 10%, (iii) 35% and 5%. Which offer is the best for a customer?
    1. First offer
    2. Second offer
    3. Third offer
    4. Any one; all are equally good

  1. View Hint View Answer Discuss in Forum

    Use the below formula to calculate the Equivalent discount.

    Successive discounts of D1 % and D2 % is overall equals to = D1 + D2
    D1 × D2
    %
    100

    Where D1 = Discount 1 and D2 = Discount 2

    Correct Option: C

    Use the below formula to calculate the Equivalent discount.

    Successive discounts of D1 % and D2 % is overall equals to = D1 + D2
    D1 × D2
    %
    100

    Where D1 = Discount 1 and D2 = Discount 2
    (i) : Equivalent discount
    = 25 + 15 −
    25 × 15
    %
    100

    = (40 – 3.75) % = 36.25%
    (ii) : Equivalent discount
    = 30 + 10 −
    30 × 10
    %
    100

    = (40 – 3) % = 37%
    (iii) : Equivalent discount
    = 35 + 5 −
    30 × 10
    %
    100

    = (40 – 1.75) % = 38.25%
    Clearly, third offer is best for a customer.


  1. The difference between a single discount of 30% on 550 and two successive discounts of 20% and 10% on the same amount is
    1. Nil
    2. ₹ 11
    3. ₹ 22
    4. ₹ 44

  1. View Hint View Answer Discuss in Forum

    As we know from the given question.
    Case I : A single discount of 30%
    Case II : Two successive discounts of 20% and 10% Single equivalent discount

    Equivalent Discount D = 20 + 10 −
    20 × 10
    % = 28%
    100

    Difference = (30 – 28)% = 2%

    Correct Option: B

    As we know from the given question.
    Case I : A single discount of 30%
    Case II : Two successive discounts of 20% and 10% Single equivalent discount

    Equivalent Discount D = 20 + 10 −
    20 × 10
    % = 28%
    100

    Difference = (30 – 28)% = 2%
    ∴  Required difference = 2% of 550
    Required difference = ₹
    2 × 550
    = ₹ 11
    10000



  1. The equivalent single discount for two successive discounts of 15 % and 10 % is
    1. 25%
    2. 20%
    3. 23.5%
    4. 20.5%

  1. View Hint View Answer Discuss in Forum

    As we know from the formula;

    Successive discounts of D1 % and D2 % = D1 + D2
    D1 × D2
    %
    100


    Correct Option: C

    As we know from the formula;

    Successive discounts of D1 % and D2 % = D1 + D2
    D1 × D2
    %
    100

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


  1. Successive discounts of 10 % and 20 % are equivalent to a single discount of :
    1. 30%
    2. 15%
    3. 28%
    4. 12%

  1. View Hint View Answer Discuss in Forum

    As we know from the formula;

    Successive discounts of D1 % and D2 % = D1 + D2
    D1 × D2
    %
    100

    Correct Option: C

    As we know from the formula;

    Successive discounts of D1 % and D2 % = D1 + D2
    D1 × D2
    %
    100

    ∴  Required discount = 20 + 10 −
    20 × 10
    %
    100

    ⇒  Required discount = 30 – 2 = 28%



  1. Successive discounts of 10 % and 30 % are equivalent to a single discount of :
    1. 40%
    2. 35 %
    3. 38 %
    4. 37 %

  1. View Hint View Answer Discuss in Forum

    As we know the formula for two successive discount.

    Successive discounts of D1 % and D2 % is overall equals to = D1 + D2
    D1 × D2
    %
    100

    Where D1 = Discount 1 and D2 = Discount 2

    Correct Option: D

    As we know the formula for two successive discount.

    Successive discounts of D1 % and D2 % is overall equals to = D1 + D2
    D1 × D2
    %
    100

    Where D1 = Discount 1 and D2 = Discount 2
    According to given question, D1 = 30 % and D2 = 10 %

    Successive discounts of D1% and D2% is overall = 30 + 10 −
    30 × 10
    = 40 - 3 = 37%
    100