Discount


  1. The marked price of an article is 10 % higher than the cost price. A discount of 10 % is given on the marked price. In this kind of sale, the seller bears.
    1. no loss, no gain
    2. a loss of 5%
    3. a gain of 1%
    4. a loss of 1%

  1. View Hint View Answer Discuss in Forum

    Let C.P. of article = ₹ 100
    Marked price = ₹ 110

    S.P. =
    110 × 90
    = ₹ 99
    100

    2nd method to solve this question.
    Here, r = 10%, r1 = 10%
    Gain or Loss %=
    r ×(100 − r1)
    − r1
    100

    Correct Option: D

    Let C.P. of article = ₹ 100
    Marked price = ₹ 110

    S.P. =
    110 × 90
    = ₹ 99
    100

    Loss = 100 – 99 = ₹ 1 = 1%
    2nd method to solve this question.
    Here, r = 10%, r1 = 10%
    Gain or Loss %=
    r ×(100 − r1)
    − r1
    100

    Gain or Loss % =
    10 × (100 − 10)
    − 10
    100

    Gain or Loss % = 9 – 10 = –1 (–ve sign shows loss)
    ⇒  Loss = 1%


  1. Charging 30 % above its production cost a radio maker puts a label of ₹ 286 on a radio as its price. But at the time of selling it, he allows 10 % discount on the labelled price. What will his gain be ?
    1. ₹ 257 .40
    2. ₹ 254. 40
    3. ₹ 198
    4. ₹ 37. 40

  1. View Hint View Answer Discuss in Forum

    Let Production cost of radio= ₹ p

    ∴ 
    p × 130
    = 286
    100

    ⇒  p =
    286 × 100
    = ₹ 220
    130

    ∴  Selling price = 90% of 286

    Correct Option: D

    Let Production cost of radio= ₹ p

    ∴ 
    p × 130
    = 286
    100

    ⇒  p =
    286 × 100
    = ₹ 220
    130

    ∴  Selling price = 90% of 286
    ∴  Selling price =
    286 × 90
    = ₹ 257.40
    100

    Required Profit = ₹ (257.40 – 220) = ₹ 37.40



  1. A businessman allows a discount of 10 % on the marked price. What percent above the cost price must he mark his goods to make a profit of 17 percent ?
    1. 27 %
    2. 18 %
    3. 30 %
    4. 20 %

  1. View Hint View Answer Discuss in Forum

    Let C.P. of article = ₹ 100
    and marked price of article = ₹ p

    ∴  p ×
    90
    = 117
    100

    2nd method to solve this question.
    Let, C.P. = ₹ 100, r = 17%, D = 10%, M.P. = ?
    M.P.
    =
    100 + r
    C.P.100 − r

    Correct Option: C

    Let C.P. of article = ₹ 100
    and marked price of article = ₹ p

    ∴  p ×
    90
    = 117
    100

    ⇒  p =
    117 × 100
    = ₹ 130
    90

    i.e. 30% above the cost price.
    2nd method to solve this question.
    Let, C.P. = ₹ 100, r = 17%, D = 10%, M.P. = ?
    M.P.
    =
    100 + r
    C.P.100 − r

    M.P.
    =
    100 + 17
    100100 − 10

    M.P. =
    117
    × 100
    90

    ⇒  30% above cost price.


  1. A shopkeeper allows a discount of 10% on the marked price of an item but charges a sales tax of 8% on the discounted price. If the customer pays ₹ 3,402 as the price including the sales tax, then the marked price is
    1. ₹ 3,400
    2. ₹ 3,500
    3. ₹ 3,600
    4. ₹ 3,800

  1. View Hint View Answer Discuss in Forum

    Let Marked price of article = ₹ p

    ∴  S.P. of article = ₹ p ×
    90
    ×
    108
    100100

    Correct Option: B

    Let Marked price of article = ₹ p

    ∴  S.P. of article = ₹ p ×
    90
    ×
    108
    100100

    ∴  p ×
    90
    ×
    108
    = 3402
    99

    ⇒  p =
    3402 × 100 × 100
    90 × 108

    Hence Marked price of article = ₹ 3500



  1. If the discount is equal to one fifth of the marked price and the loss is half the discount, then the percentage of loss is
    1. 10
      1
      %
      9
    2. 11
      1
      %
      9
    3. 12
      1
      %
      9
    4. 13
      1
      %
      9

  1. View Hint View Answer Discuss in Forum

    Let Marked price = ₹ p

    Discount = ₹
    p
    5

    S.P. = p −
    p
    = ₹
    4p
    55

    Loss = ₹
    p
    10

    ∴  C.P. =
    4p
    +
    p
    510

    =
    8p + p
    = ₹
    9p
    1010

    Correct Option: B

    Let Marked price = ₹ p

    Discount = ₹
    p
    5

    S.P. = p −
    p
    = ₹
    4p
    55

    Loss = ₹
    p
    10

    ∴  C.P. =
    4p
    +
    p
    510

    =
    8p + p
    = ₹
    9p
    1010

    ∴  Loss percent =
    p/10
    ×100
    9p/10

    Hence ,Loss percent =
    100
    = 11
    1
    %
    99