Discount


  1. A shopkeeper offers 10% discount on the marked price of his articles and still makes a profit of 20%. What is the actual cost of the article marked ₹ 500 for him ?
    1. ₹ 440
    2. ₹ 425
    3. ₹ 400
    4. ₹ 375

  1. View Hint View Answer Discuss in Forum

    Given that , marked price = ₹ 500
    Discount = 10% and profit = 20%
    Let the cost price of article be p.

    ∴  500 ×
    90
    =
    120
    × p
    100100

    ⇒  450 =
    6p
    5

    ⇒  p =
    450 × 5
    = ₹ 375
    6

    Second method :
    C.P. = ? , M.P. = ₹ 500, r = 20%, D = 10%
    Using the given formula ,
    M.P.
    =
    100 + r
    C.P.100 − D

    Correct Option: D

    Given that , marked price = ₹ 500
    Discount = 10% and profit = 20%
    Let the cost price of article be p.

    ∴  500 ×
    90
    =
    120
    × p
    100100

    ⇒  450 =
    6p
    5

    ⇒  p =
    450 × 5
    = ₹ 375
    6

    Second method :
    C.P. = ? , M.P. = ₹ 500, r = 20%, D = 10%
    Using the given formula ,
    M.P.
    =
    100 + r
    C.P.100 − D

    500
    =
    100 + 20
    C.P.100 − 10

    C.P. =
    500 × 90
    = ₹ 375
    120


  1. The cost of manufacturing an article was ₹ 900. The trader wants to gain 25% after giving a discount of 10%. The marked price must be :
    1. ₹ 1500
    2. ₹ 1250
    3. ₹ 1200
    4. ₹ 1000

  1. View Hint View Answer Discuss in Forum

    Here , CP of article = ₹ 900 , discount = 10%
    ∴  After 25% gain , S.P. of article = 125% of 900

    S.P. of article =
    900 × 125
    = ₹ 1125
    100

    Let the marked price be y

    Correct Option: B

    Here , CP of article = ₹ 900 , discount = 10%
    ∴  After 25% gain , S.P. of article = 125% of 900

    S.P. of article =
    900 × 125
    = ₹ 1125
    100

    Let the marked price be y
    ∴  90% of y = 1125
    ⇒  y =
    1125 × 100
    = ₹ 1250
    90



  1. A shopkeeper buys an article for ₹ 180. He wishes to gain 20% after allowing a discount of 10% on the marked price to the customer. The marked price will be
    1. ₹ 210
    2. ₹ 240
    3. ₹ 270
    4. ₹ 300

  1. View Hint View Answer Discuss in Forum

    Given in question , CP of article = ₹ 180

    After 20% gain , SP = 180 ×
    120
    = ₹ 216
    100

    discount = 10%
    ∴  ( 100 - 10 )% = 216
    ⇒  90% = 216

    Correct Option: B

    Given in question , CP of article = ₹ 180

    After 20% gain , SP = 180 ×
    120
    = ₹ 216
    100

    discount = 10%
    ∴  ( 100 - 10 )% = 216
    ⇒  90% = 216
    100% =
    216
    × 100 = ₹ 240
    90

    Hence , The marked price is ₹ 240 .


  1. A trader wishes to gain 20% after allowing 10% discount on the marked price to his customers. At what per cent higher than the cost price must he marks his goods ?
    1. 30%
    2. 33
      1
      %
      3
    3. 34
      2
      %
      3
    4. 35%

  1. View Hint View Answer Discuss in Forum

    Let the CP be ₹ 100. Then SP on 20% gain = ₹ 120
    Let the marked price be y.
    Then, ( 100 - 10 )% of y = ₹ 120
    ⇒ 90% of y = ₹ 120

    ⇒  y =
    120 × 100
    =
    400
    903

    Correct Option: B

    Let the CP be ₹ 100. Then SP on 20% gain = ₹ 120
    Let the marked price be y.
    Then, ( 100 - 10 )% of y = ₹ 120
    ⇒ 90% of y = ₹ 120

    ⇒  y =
    120 × 100
    =
    400
    903

    y = 133
    1
    3

    It is 33
    1
    % higher than the CP.
    3



  1. The marked price of an electric iron is ₹ 690. The shopkeeper allows a discount of 10% and gains 8%. If no discount is allowed, his gain percent would be
    1. 20%
    2. 24%
    3. 25%
    4. 28%

  1. View Hint View Answer Discuss in Forum

    Given in question , Marked price = ₹ 690
    ∴  Discount = 10%

    SP =
    690 × 90
    = ₹ 621
    100

    Profit = 8%
    ∴  CP =
    621
    × 100 = ₹ 575
    108

    Profit without discount = 690 – 575 = ₹ 115
    Profit percent =
    115
    × 100 = 20%
    575

    Using the given formula , we can find required answer :
    Here, r = 10%, R = 20%
    Required percentage =
    (r + R)
    × 100%
    100 − r

    Required percentage =
    10 + 20
    × 100%
    100 − 10

    Required percentage =
    30
    × 100%
    90

    Required percentage = 33
    1
    %
    3

    Gain = S.P. - C.P. = 480 − 400 = ₹ 80
    Gain % =
    Gain
    × 100 (without discount)
    C.P.

    =
    80
    × 100 = 20%
    400

    We can find required answer with the help of given formula :
    Here, M.P. = ₹ 690 , D = 10% , r = 8%
    M.P.
    =
    100 + r
    C.P.100 − D

    Correct Option: A

    Given in question , Marked price = ₹ 690
    ∴  Discount = 10%

    SP =
    690 × 90
    = ₹ 621
    100

    Profit = 8%
    ∴  CP =
    621
    × 100 = ₹ 575
    108

    Profit without discount = 690 – 575 = ₹ 115
    Profit percent =
    115
    × 100 = 20%
    575

    Using the given formula , we can find required answer :
    Here, r = 10%, R = 20%
    Required percentage =
    (r + R)
    × 100%
    100 − r

    Required percentage =
    10 + 20
    × 100%
    100 − 10

    Required percentage =
    30
    × 100%
    90

    Required percentage = 33
    1
    %
    3

    Gain = S.P. - C.P. = 480 − 400 = ₹ 80
    Gain % =
    Gain
    × 100 (without discount)
    C.P.

    =
    80
    × 100 = 20%
    400

    We can find required answer with the help of given formula :
    Here, M.P. = ₹ 690 , D = 10% , r = 8%
    M.P.
    =
    100 + r
    C.P.100 − D

    690
    =
    100 + 8
    C.P.100 − 10

    690
    =
    108
    C.P.90

    C.P. =
    690 × 90
    = ₹ 575
    108

    Gain % (without discount) =
    690 × 575
    × 100%
    575

    Gain % =
    115
    × 100% = 20%
    575