Discount


  1. A person purchased a saree for ₹ 7710 after availing a net discount of ₹ 1285. The percentage of discount, the saree shop offers, is
    1. 14
      1
      %
      7
    2. 14
      2
      %
      7
    3. 14
      3
      %
      7
    4. 14
      4
      %
      7

  1. View Hint View Answer Discuss in Forum

    Here , CP of saree = ₹ 7710 , Discount on saree = ₹ 1285
    ∴ Marked price = ₹ (7710 + 1285) = ₹ 8995
    If discount = y %, then
    According to question ,
    y % of 8995 = 1285

    ⇒ 
    8995 × y
    = 1285
    100

    Correct Option: B

    Here , CP of saree = ₹ 7710 , Discount on saree = ₹ 1285
    ∴ Marked price = ₹ (7710 + 1285) = ₹ 8995
    If discount = y %, then
    According to question ,
    y % of 8995 = 1285

    ⇒ 
    8995 × y
    = 1285
    100

    ⇒  y =
    1285 × 100
    =
    100
    = 14
    2
    %
    899577


  1. A shopkeeper sold an item at 10% loss after giving a discount equal to half the marked price. Then the cost price is
    1. 1
      th of marked price
      9
    2. 4
      th of marked price
      9
    3. 5
      th of marked price
      9
    4. 7
      th of marked price
      9

  1. View Hint View Answer Discuss in Forum

    Suppose Marked price = ₹ p and cost price = ₹ q.
    According to question ,
    ∴  50% of p = 90% of q

    ⇒ 
    p × 50
    =
    q × 90
    100100

    ⇒  q =
    p × 50
    = ₹
    5
    p
    909

    Correct Option: C

    Suppose Marked price = ₹ p and cost price = ₹ q.
    According to question ,
    ∴  50% of p = 90% of q

    ⇒ 
    p × 50
    =
    q × 90
    100100

    ⇒  q =
    p × 50
    = ₹
    5
    p
    909

    q =
    5
    th of marked price.
    9



  1. A trader buys goods at 20% discount on marked price. If he wants to make a profit of 25% after allowing a discount of 20%, by what percent should his marked price be greater than the original marked price ?
    1. 15%
    2. 65%
    3. 25%
    4. 20%

  1. View Hint View Answer Discuss in Forum

    Let Original marked price of goods = ₹ 100
    20% discount ,

    C.P. =
    100 × 80
    = ₹ 80
    100

    Case II
    If the marked price be y, then

    Correct Option: C

    Let Original marked price of goods = ₹ 100
    20% discount ,

    C.P. =
    100 × 80
    = ₹ 80
    100

    Case II
    If the marked price be y, then
    y ×
    80
    =
    80 × 125
    100100

    ⇒  y =
    80 × 125
    = ₹ 125
    100

    Required Percent = 125 – 100 = 25 %


  1. A shopkeeper sold an item for ₹ 1,510 after giving a discount of 24
    1
    %
    2

    and thereby incurred loss of 10%. Had he sold the item without discount, his net profit would have been
    1. ₹ 641
    2. ₹ 322
      1
      9
    3. ₹ 422
      2
      9
    4. ₹ 322
      2
      9

  1. View Hint View Answer Discuss in Forum

    Given that , SP of item = ₹ 1,510
    Marked price of the article = ₹ y

    Discount = 24
    1
    % =
    49
    %
    22

    ∴  100 −
    49
    % of y = 1510
    2

    ⇒  y ×
    200 − 49
    = 1510
    200

    ⇒  y ×
    151
    = 1510
    200

    ⇒  y =
    1510 × 200
    = ₹ 2000
    151

    Correct Option: D

    Given that , SP of item = ₹ 1,510
    Marked price of the article = ₹ y

    Discount = 24
    1
    % =
    49
    %
    22

    ∴  100 −
    49
    % of y = 1510
    2

    ⇒  y ×
    200 − 49
    = 1510
    200

    ⇒  y ×
    151
    = 1510
    200

    ⇒  y =
    1510 × 200
    = ₹ 2000
    151

    ∴  C.P. of article =
    1510 × 100
    = ₹
    15100
    909

    ∴  Gain = 2000 −
    15100
    9

    Gain =
    18000 − 15100
    =
    2900
    99

    Gain = ₹ 322
    2
    9



  1. The true discount on ₹ 1, 860 due after a certain time at 5% is ₹ 60. Find the time after which it is due.
    1. 10 months
    2. 8 months
    3. 9 months
    4. 1 year

  1. View Hint View Answer Discuss in Forum

    Here , True discount = ₹ 60 , Rate = 5%
    ∴ Present worth = 1860 – 60 = ₹ 1800

    Time =
    100 × True Discount
    Present worth × Rate

    Time =
    100 × 60
    =
    2
    year
    1800 × 53

    Correct Option: B

    Here , True discount = ₹ 60 , Rate = 5%
    ∴ Present worth = 1860 – 60 = ₹ 1800

    Time =
    100 × True Discount
    Present worth × Rate

    Time =
    100 × 60
    =
    2
    year
    1800 × 53

    Time =
    2
    × 12months = 8 months
    3