Discount


  1. List price of an article at a show room is ₹ 2,000 and it is being sold at successive discounts of 20 % and 10 %. Its net selling price will be :
    1. ₹ 1900
    2. ₹1700
    3. ₹ 1440
    4. ₹ 1400

  1. View Hint View Answer Discuss in Forum

    Equivalent discount for successive discounts of 20 % and 10 %

    = 20 + 10 −
    20 × 10
    %
    100


    Alternate method to solve this question:
    Here, M.P. = ₹ 2000,
    D1 = 20%, D2 = 10%
    S.P. = M.P.
    100 − D1
    100 − D2
    100100

    Correct Option: C

    Equivalent discount for successive discounts of 20% and 10%

    = 20 + 10 −
    20 × 10
    %
    100

    = 28%
    ∴  Net selling price = 72 % of 2000
    = ₹
    72 × 2000
    = ₹ 1440
    100

    Alternate method to solve this question:
    Here, M.P. = ₹ 2000,
    D1 = 20%, D2 = 10%
    S.P. = M.P.
    100 − D1
    100 − D2
    100100

    = 2000 ×
    100 − 20
    100 − 10
    100100

    = 2000 ×
    80 × 90
    = ₹ 1440
    10000


  1. A single discount equivalent to the successive discounts of 10 %, 20 % and 25 % is
    1. 55%
    2. 45%
    3. 46%
    4. 60%

  1. View Hint View Answer Discuss in Forum

    First Method
    Single of discount for successive discounts 10 % and 20 %

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

    ∴  Equivalent discount for discounts 28% and 25%
    = 28 + 25 −
    28 × 25
    %
    100

    2nd Method :
    Single equivalent discount
    = 100 −
    100 − D1
    100 − D2
    100 − D3
    × 100
    100100100

    = 100 −
    100 − 10
    100 − 20
    100 − 25
    × 100
    100100100

    Correct Option: C

    First Method to solve this question.
    Single of discount for successive discounts 10 % and 20 %

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

    ∴  Equivalent discount for discounts 28% and 25%
    = 28 + 25 −
    28 × 25
    %
    100

    = 53 – 7 = 46%
    Second method :
    Single equivalent discount
    = 100 −
    100 − D1
    100 − D2
    100 − D3
    × 100
    100100100

    = 100 −
    100 − 10
    100 − 20
    100 − 25
    × 100
    100100100

    = 100 −
    90
    ×
    80
    ×
    75
    × 100
    100100100

    = 100 – 54 = 46%



  1. An item is marked for ₹ 240 for sale. If two successive discounts of 10 % and 5 % are allowed on the sale price, the selling price of the article will be
    1. ₹ 205.20
    2. ₹ 204
    3. ₹ 34.80
    4. ₹ 36

  1. View Hint View Answer Discuss in Forum

    A single discount equal to the two successive discounts

    = 10 + 5 −
    10 × 5
    % = 14.5 %
    100

    2nd Method :
    Here, M.P. = Rs. 240,
    D1 = 10%, D2 = 5%
    S.P. = M.P.
    100 − D1
    100 − D2
    100100

    = 240
    100 − 10
    100 − 5
    100100

    Correct Option: A

    A single discount equal to the two successive discounts

    = 10 + 5 −
    10 × 5
    % = 14.5 %
    100

    ∴  Selling price of the article
    = 85.5% of ₹ 240
    = ₹
    85.5 × 240
    = ₹ 205.20
    100

    IInd Method :
    Here, M.P. = Rs. 240,
    D1 = 10%, D2 = 5%
    S.P. = M.P.
    100 − D1
    100 − D2
    100100

    = 240
    100 − 10
    100 − 5
    100100

    = 240 ×
    90
    ×
    95
    = Rs. 205.20
    100100


  1. The marked price of an article is ₹ 500. It is sold at successive discounts of 20 % and 10 %. The selling price of the article (in rupees) is :
    1. 350
    2. 375
    3. 360
    4. 400

  1. View Hint View Answer Discuss in Forum

    Equivalent discount of successive discounts of 20 % and 10 % = 20 + 10 −
    20 × 10
    % = 28 %
    100

    ∴  Selling Price = (100 – 28) % of ₹ 500

    IInd Method to Solve this question.
    M.P. = Rs. 500
    D1 = 20%
    D2 = 10%
    S.P. = M.P.
    100 − D1
    100 − D2
    100100

    Correct Option: C

    Equivalent discount of successive discounts of 20% and 10%

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

    ∴  Selling Price = (100 – 28) % of ₹ 500 = 72 % of 500
    = ₹
    500 × 72
    = ₹ 360
    100

    IInd Method to Solve this question.
    M.P. = Rs. 500
    D1 = 20%
    D2 = 10%
    S.P. = M.P.
    100 − D1
    100 − D2
    100100

    = 500
    100 − 20
    100 − 10
    100100

    = 500 ×
    80
    ×
    90
    = Rs. 360
    100100



  1. The marked price of a watch is ₹ 1000. A retailer buys it at ₹ 810 after getting two successive discounts of 10% and another rate which is illegible. What is the second discount rate?
    1. 15%
    2. 10%
    3. 8%
    4. 6.5%

  1. View Hint View Answer Discuss in Forum

    Price after 10% first discount

    = 1000 ×
    100 − 10
    100

    = 1000 ×
    90
    = ₹ 900
    100

    Correct Option: B

    Price after 10% first discount

    = 1000 ×
    100 − 10
    100

    = 1000 ×
    90
    = ₹ 900
    100

    Given that :
    Price after second discount = ₹ 810
    ∴  Second discount = 900 – 810 = 90
    ∴  Percentage of second discount =
    90 × 100
    = 10 %
    100