Discount


  1. A single discount of 50% on an article costing ₹ 10000 is better than two successive discounts of 40% and 10% by
    1. ₹ 400
    2. ₹ 1000
    3. ₹ 500
    4. ₹ 600

  1. View Hint View Answer Discuss in Forum

    Single equivalent discount for 40% and 10%

    = 40 + 10 −
    40 × 10
    % = 46%
    100

    Difference of percentage = 4%

    Correct Option: A

    Single equivalent discount for 40% and 10%

    = 40 + 10 −
    40 × 10
    % = 46%
    100

    Difference of percentage = 4%
    ∴  Savings = 4% of 10000
    =
    10000 × 4
    = ₹ 400
    100


  1. A sofa-set listed at ₹ 800 is sold to a retailer at successive discounts of 25% and 15% by the wholesaler. Then the cost price of the sofa-set for retailer is
    1. ₹ 500
    2. ₹ 510
    3. ₹ 550
    4. ₹ 560

  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 = 25 + 15 −
    25 × 15
    100

    Single equivalent discount = 40 – 3.75 = 36.25

    Correct Option: B

    Use the below formula to calculate the Equivalent single discount.

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

    Single equivalent discount = 25 + 15 −
    25 × 15
    100

    Single equivalent discount = 40 – 3.75 = 36.25
    ∴  C.P. for the retailer =
    800 × (100 − 36.25)
    = ₹ 510
    100



  1. Alex sold his goods after announcing two successive discounts of 30% each. The effective discount altogether is
    1. 52%
    2. 49%
    3. 50%
    4. 51%

  1. View Hint View Answer Discuss in Forum

    As we know the formula for two successive discount.

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

    Correct Option: D

    As we know the formula for two successive discount.

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

    Single equivalent discount = 30 + 30 −
    30 × 30
    % = 51%
    100


  1. In selling an article, the single discount equivalent to two successive discounts of 25% and 5% is
    1. 28.75%
    2. 30%
    3. 27.5%
    4. 26%

  1. View Hint View Answer Discuss in Forum

    Single equivalent discount = 25 + 5 −
    25 × 5
    %
    100

    Correct Option: A

    Single equivalent discount = 25 + 5 −
    25 × 5
    %
    100

    Single equivalent discount = (30 – 1.25)% = 28.75%



  1. Successive discounts of p% and q% on the catalogue price of an article is equivalent to a single discount of :
    1. x − y −
      xy
      %
      100
    2. p − q −
      pq
      %
      100

    3. p + q −
      pq
      %
      100
    4. p + q +
      pq
      %
      100

  1. View Hint View Answer Discuss in Forum

    As we know the formula for two successive discount.

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

    Correct Option: C

    As we know the formula for two successive discount.

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

    Single equivalent discount
    = p + q −
    pq
    %
    100