Discount


  1. Marked price of an article is ₹ 275. Shopkeeper allows a discount of 5% and he gets a profit of 4.5%. The actual cost of the article is
    1. ₹ 250
    2. ₹ 225
    3. ₹ 215
    4. ₹ 210

  1. View Hint View Answer Discuss in Forum

    Given Here , Marked price of an article = ₹ 275
    profit = 4.5% , discount = 5%
    Let C.P. of article be y

    ∴ 
    y × 104.5
    =
    275 × 95
    100100

    ⇒  y × 104.5 = 275 × 95
    ⇒  y =
    275 × 95
    = ₹ 250
    104.5

    Second method :
    Here , M.P. = ₹ 275, D = 5%, r = 4.5%, C.P. = ?
    Using the given formula ,
    M.P.
    =
    100 + r
    C.P.100 − D

    Correct Option: A

    Given Here , Marked price of an article = ₹ 275
    profit = 4.5% , discount = 5%
    Let C.P. of article be y

    ∴ 
    y × 104.5
    =
    275 × 95
    100100

    ⇒  y × 104.5 = 275 × 95
    ⇒  y =
    275 × 95
    = ₹ 250
    104.5

    Second method :
    Here , M.P. = ₹ 275, D = 5%, r = 4.5%, C.P. = ?
    Using the given formula ,
    M.P.
    =
    100 + r
    C.P.100 − D

    275
    =
    100 + 4.5
    C.P.100 − 5

    C.P. =
    275 × 95
    = ₹ 250
    104.5


  1. The marked price of a radio is ₹ 480. The shopkeeper allows a discount of 10% and gains 8%. If no discount is allowed, his gain percent would be
    1. 18%
    2. 18.5%
    3. 20.5%
    4. 20%

  1. View Hint View Answer Discuss in Forum

    Given that , The marked price of a radio = ₹ 480
    If the CP of radio be y, then

    108
    of y =
    480 × 90
    100100

    ⇒ 
    y × 108
    = 432
    100

    ⇒  y =
    432 × 100
    = ₹ 400
    108

    Gain percent (if no discount is allowed) =
    80
    × 100 = 20%
    400

    Second method :
    Here, r = 8%, D = 10%, M.P. = ₹ 480
    With the help of given formula ,
    M.P.
    =
    100 + r
    C.P.100 − D

    Correct Option: D

    Given that , The marked price of a radio = ₹ 480
    If the CP of radio be y, then

    108
    of y =
    480 × 90
    100100

    ⇒ 
    y × 108
    = 432
    100

    ⇒  y =
    432 × 100
    = ₹ 400
    108

    Gain percent (if no discount is allowed) =
    80
    × 100 = 20%
    400

    Second method :
    Here, r = 8%, D = 10%, M.P. = ₹ 480
    With the help of given formula ,
    M.P.
    =
    100 + r
    C.P.100 − D

    480
    =
    100 + 8
    C.P.100 − 10

    C.P. =
    480 × 90
    = ₹ 400
    108

    Gain % (without discount) =
    S.P. − C.P.
    × 100
    C.P.

    Gain % =
    480 − 400
    × 100
    400

    Gain % =
    80
    × 100 = 20%
    400



  1. A shopkeeper earns a profit of 12% on selling a book at 10% discount on the printed price. The ratio of the cost price and the printed price of the book is
    1. 45 : 56
    2. 45 : 51
    3. 47 : 56
    4. 47 : 51

  1. View Hint View Answer Discuss in Forum

    Let the CP be 100.
    After profit of 12% ,
    ∴  SP = 112
    discount = 10%
    If the marked price be y, then
    90 % of y = 112

    ⇒  y =
    112 × 100
    = ₹
    1120
    909

    ∴ Required ratio = 100 :
    1120
    9

    Required ratio = 900 : 1120 = 45 : 56
    Second method :
    Here, r = 12%, D = 10%
    M.P.
    =
    100 + r
    C.P.100 − D

    Correct Option: A

    Let the CP be 100.
    After profit of 12% ,
    ∴  SP = 112
    discount = 10%
    If the marked price be y, then
    90 % of y = 112

    ⇒  y =
    112 × 100
    = ₹
    1120
    909

    ∴ Required ratio = 100 :
    1120
    9

    Required ratio = 900 : 1120 = 45 : 56
    Second method :
    Here, r = 12%, D = 10%
    M.P.
    =
    100 + r
    C.P.100 − D

    M.P.
    =
    100 + 12
    C.P.100 − 10

    M.P.
    =
    112
    C.P.90

    C.P.
    =
    90
    M.P.112

    C.P.
    =
    45
    M.P.56

    C.P. : M.P. = 45 : 56


  1. A manufacturer marked an article at ₹ 50 and sold it allowing 20% discount. If his profit was 25%, then the cost price of the article was
    1. ₹ 40
    2. ₹ 35
    3. ₹ 32
    4. ₹ 30

  1. View Hint View Answer Discuss in Forum

    Marked price = 50
    S.P. after 20% discount = 80% of 50 = ₹ 40
    If the CP of article be y, then

    125 × y
    = 40
    100

    ⇒  y =
    40 × 100
    = ₹ 32
    125

    Second method :
    Here, M.P. = ₹ 50, C.P. = ?, r = 25%, D = 20%
    Using the given formula ,
    M.P.
    =
    100 + r
    C.P.100 − D

    Correct Option: C

    Marked price = 50
    S.P. after 20% discount = 80% of 50 = ₹ 40
    If the CP of article be y, then

    125 × y
    = 40
    100

    ⇒  y =
    40 × 100
    = ₹ 32
    125

    Second method :
    Here, M.P. = ₹ 50, C.P. = ?, r = 25%, D = 20%
    Using the given formula ,
    M.P.
    =
    100 + r
    C.P.100 − D

    50
    =
    100 + 25
    C.P.100 − 20

    C.P. =
    50 × 80
    = ₹ 32
    125



  1. The marked price of an electric iron is ₹ 300. The shopkeeper allows a discount of 12% and still gains 10%. If no discount is allowed, his gain per cent would have been :
    1. 20%
    2. 25%
    3. 27%
    4. 30%

  1. View Hint View Answer Discuss in Forum

    Here , The marked price of an electric iron = ₹ 300
    Discount = 12%
    According to question ,
    SP of electric iron = 88% of 300

    SP of electric iron = ₹
    300 × 88
    = ₹ 264
    100

    Profit = 10%
    ∴  CP of electric iron =
    100
    × 264 = ₹ 240
    110

    After no discount,
    Gain = 300 – 240 = ₹ 60
    Gain percent =
    60
    × 100 = 25%
    240

    Second Method :
    Here, M.P. = ₹ 300, r = 10%, D = 12%.
    With the help of given formula ,
    M.P.
    =
    100 + r
    C.P.100 − D

    Correct Option: B

    Here , The marked price of an electric iron = ₹ 300
    Discount = 12%
    According to question ,
    SP of electric iron = 88% of 300

    SP of electric iron = ₹
    300 × 88
    = ₹ 264
    100

    Profit = 10%
    ∴  CP of electric iron =
    100
    × 264 = ₹ 240
    110

    After no discount,
    Gain = 300 – 240 = ₹ 60
    Gain percent =
    60
    × 100 = 25%
    240

    Second Method :
    Here, M.P. = ₹ 300, r = 10%, D = 12%.
    With the help of given formula ,
    M.P.
    =
    100 + r
    C.P.100 − D

    300
    =
    100 + 10
    C.P.100 − 12

    C.P. =
    300 × 88
    110

    Gain % (without discount) =
    300 − 240
    × 100 = 25%
    240