Discount


  1. A shopkeeper listed the price of goods at 30% above the cost price. He sells half the stock at this price, one fourth of the stock at a discount of 15% and the remaining at 30% discount. His overall profit is
    1. 15
      3
      %
      8
    2. 15%
    3. 15
      3
      %
      5
    4. 15
      2
      %
      3

  1. View Hint View Answer Discuss in Forum

    C.P. of articles = ₹ 100 (let)

    Marked price of articles =
    100 × 130
    = ₹ 130
    100

    S.P. of half of articles =
    130
    = ₹ 65
    2

    S.P. of one-fourth of articles at
    15% discount =
    65
    ×
    85
    = ₹ 27.625
    2100

    S.P. of remaining articles =
    65
    ×
    70
    = ₹ 22.75
    2100

    Total S.P. = ₹(65 + 27.625 + 22.75)
    = 115.375
    ∴ Profit % = 15.375% = 15
    3
    %
    8

    Correct Option: A

    C.P. of articles = ₹ 100 (let)

    Marked price of articles =
    100 × 130
    = ₹ 130
    100

    S.P. of half of articles =
    130
    = ₹ 65
    2

    S.P. of one-fourth of articles at
    15% discount =
    65
    ×
    85
    = ₹ 27.625
    2100

    S.P. of remaining articles =
    65
    ×
    70
    = ₹ 22.75
    2100

    Total S.P. = ₹(65 + 27.625 + 22.75)
    = 115.375
    ∴ Profit % = 15.375% = 15
    3
    %
    8


  1. The list price of a shirt is ₹ 440 and a customer pays ₹ 396 for it. The discount rate is
    1. 10%
    2. 10
      1
      %
      2
    3. 20%
    4. 12%

  1. View Hint View Answer Discuss in Forum

    Discount = 440 – 396 = 44
    If the rate of discount be x %, then

    440 × x
    = 44
    100

    ⇒  x =
    44 × 100
    = 10%
    440

    Second Method :
    Here, M.P. = ₹ 440
    S.P. = ₹ 396
    Discount % =
    M.P. − S.P.
    × 100
    M.P.

    =
    440 − 396
    × 100%
    440

    =
    44
    × 100% = 10%
    440

    Correct Option: A

    Discount = 440 – 396 = 44
    If the rate of discount be x %, then

    440 × x
    = 44
    100

    ⇒  x =
    44 × 100
    = 10%
    440

    Second Method :
    Here, M.P. = ₹ 440
    S.P. = ₹ 396
    Discount % =
    M.P. − S.P.
    × 100
    M.P.

    =
    440 − 396
    × 100%
    440

    =
    44
    × 100% = 10%
    440



  1. To attract more visitors, Zoo authority announces 20% discount on every ticket which costs 25 paise. For this reason, sale of ticket increases by 28%. Find the percentage of increase in the number of visitors.
    1. 40%
    2. 50%
    3. 60%
    4. No change

  1. View Hint View Answer Discuss in Forum

    Original number of visitors = 100
    Total revenue = 100 × 25
    = 2500 paise
    = ₹ 25
    Case II,

    Cost of each ticket =
    25 × 80
    = 20 paise = ₹ 0.2
    100

    If the number of visitors be x, then
    x × 0.2 = 32
    ⇒  x =
    32
    =
    320
    = 160
    0.22

    ∴  Required percentage = 60

    Correct Option: C

    Original number of visitors = 100
    Total revenue = 100 × 25
    = 2500 paise
    = ₹ 25
    Case II,

    Cost of each ticket =
    25 × 80
    = 20 paise = ₹ 0.2
    100

    If the number of visitors be x, then
    x × 0.2 = 32
    ⇒  x =
    32
    =
    320
    = 160
    0.22

    ∴  Required percentage = 60


  1. A is to pay B, ₹ 600 in 4 years time. A offers to pay up B at present. What discount should B allow A ?
    1. ₹ 96
    2. ₹ 100
    3. ₹ 120
    4. ₹ 110
    5. None of these

  1. View Hint View Answer Discuss in Forum

    If the rate = 5% p.a.; then

    Present worth =
    Amount × 100
    100 + (R × T)

    =
    600 × 100
    =
    600 × 100
    = ₹ 500
    100 + (5 × 4)120

    Note : No rate is mentioned in the question.

    Correct Option: E

    If the rate = 5% p.a.; then

    Present worth =
    Amount × 100
    100 + (R × T)

    =
    600 × 100
    =
    600 × 100
    = ₹ 500
    100 + (5 × 4)120

    Note : No rate is mentioned in the question.



  1. A man saves ₹ 25 on the purchase of an article on which a discount of 20% is allowed. How much did the man pay ?
    1. ₹ 75
    2. ₹ 150
    3. ₹ 100
    4. ₹ 125

  1. View Hint View Answer Discuss in Forum

    ∵  20% ≡ ₹ 25

    ∴  80% ≡
    80
    × 25 = ₹ 100
    20

    Correct Option: C

    ∵  20% ≡ ₹ 25

    ∴  80% ≡
    80
    × 25 = ₹ 100
    20