Discount


  1. Applied to a bill for ₹ 1,00,000 the difference between a discount of 40 % and two successive discounts of 36 % and 4 % is :
    1. Nil
    2. ₹ 1,440
    3. ₹ 2,500
    4. ₹ 4,000

  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
    Successive discounts of 36 % and 4 % is overall equals to = 36 + 4 −
    36 × 4
    %
    100

    Correct Option: C

    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
    Successive discounts of 36 % and 4 % is overall equals to = 36 + 4 −
    36 × 4
    %
    100

    = 38.56%
    ∴  Percentage difference = 40 – 38.56 = 1.44%
    Difference between discount = 1.44% of 100000
    =
    1.44 × 100000
    = ₹ 1440
    100


  1. A salesman is allowed 5
    1
    % discount on the total
    2
    sales made
    by him plus a bonus of
    1
    % on sales
    2
    over ₹ 10,000. If his total earnings were ₹ 1,990, his total sales (in ₹ ) was
    1. 30,000
    2. 32,000
    3. 34,000
    4. 35,000

  1. View Hint View Answer Discuss in Forum

    Let the salesman’s total sales be (10000 + x)
    According to the question,

    10000 ×
    11
    % + x × 6% = 1990
    2

    ⇒ 5000 × 11% + 6x% = 1990
    ⇒ 5000 × 11 + 6x = 199000
    ⇒ 6x = 199000 – 55000
    ⇒ 6x = 144000
    ⇒  x =
    144000
    = 24000
    6

    ∴  The required sales
    = 24000 + 10000 = ₹ 34,000

    Correct Option: C

    Let the salesman’s total sales be (10000 + x)
    According to the question,

    10000 ×
    11
    % + x × 6% = 1990
    2

    ⇒ 5000 × 11% + 6x% = 1990
    ⇒ 5000 × 11 + 6x = 199000
    ⇒ 6x = 199000 – 55000
    ⇒ 6x = 144000
    ⇒  x =
    144000
    = 24000
    6

    ∴  The required sales
    = 24000 + 10000 = ₹ 34,000



  1. A shopkeeper buys an article for ₹ 360. He wants to make a gain of 25% on it after a discount of 10%. The marked price is
    1. ₹ 486
    2. ₹ 450
    3. ₹ 500
    4. ₹ 460

  1. View Hint View Answer Discuss in Forum

    Marked price of the article = ₹ x.

    ∴ 
    x × 90
    =
    360 × 125
    100100

    ⇒ 
    9x
    = 90 × 5
    10

    ⇒  x =
    90 × 5 × 10
    = ₹ 500
    9

    Second method :
    C.P. = ₹ 360
    r = 25%, D = 10%, M.P. = ?
    M.P.
    =
    100 + r
    C.P.100 − D

    M.P.
    =
    100 + 25
    360100 − 10

    M.P. =
    125 × 360
    = ₹ 500
    90

    Correct Option: C

    Marked price of the article = ₹ x.

    ∴ 
    x × 90
    =
    360 × 125
    100100

    ⇒ 
    9x
    = 90 × 5
    10

    ⇒  x =
    90 × 5 × 10
    = ₹ 500
    9

    Second method :
    C.P. = ₹ 360
    r = 25%, D = 10%, M.P. = ?
    M.P.
    =
    100 + r
    C.P.100 − D

    M.P.
    =
    100 + 25
    360100 − 10

    M.P. =
    125 × 360
    = ₹ 500
    90


  1. A discount of 16% on the marked price of a book enables a man to buy a pen that costs ₹ 80. How much did he pay for the book ?
    1. ₹ 500
    2. ₹ 480
    3. ₹ 420
    4. ₹ 340

  1. View Hint View Answer Discuss in Forum

    Given that , discount = 16%
    Let the amount paid (S.P.) be P.
    According to question ,
    ∴  16% of P = 80

    ⇒  P =
    80
    ×100
    16


    Correct Option: A

    Given that , discount = 16%
    Let the amount paid (S.P.) be P.
    According to question ,
    ∴  16% of P = 80

    ⇒  P =
    80
    ×100
    16

    ∴  P = ₹ 500
    Hence , the amount paid (S.P.) be ₹ 500 .