Discount


  1. A shopkeeper marks his goods 40% above the cost price. He allows a discount of 5% for cash payment to his customers. He receives ₹ 1064 after paying the discount. His profit is
    1. ₹ 264
    2. ₹ 164
    3. ₹ 200
    4. ₹ 800

  1. View Hint View Answer Discuss in Forum

    Given that , discount = 5%
    Suppose Cost price of article = ₹ y

    ∴  y ×
    140
    ×
    95
    = 1064
    100100

    Correct Option: D

    Given that , discount = 5%
    Suppose Cost price of article = ₹ y

    ∴  y ×
    140
    ×
    95
    = 1064
    100100

    ⇒  y =
    1064 × 100 × 100
    = ₹ 800
    140 × 95

    Hence , Cost price of article is ₹ 800 .


  1. A shopkeeper marks his goods 20% above his cost price and gives 15% discount on the marked price. His gain percent is
    1. 5%
    2. 4%
    3. 2%
    4. 1%

  1. View Hint View Answer Discuss in Forum

    If the C.P. of goods be ₹ 100, then
    Marked price = ₹ 120
    discount = 15%

    ∴  S.P. =
    120 × 85
    = ₹ 102
    100

    Profit = S.P. - C.P. = 102 - 100 = ₹ 2
    Hence, Required percent =
    2
    × 100 = 2%
    100

    Second method :
    Here, r = 20%, r1 = 15%
    Using the given formula ,
    Gain % =
    r × (100 − r1)
    − r1
    100

    Correct Option: C

    If the C.P. of goods be ₹ 100, then
    Marked price = ₹ 120
    discount = 15%

    ∴  S.P. =
    120 × 85
    = ₹ 102
    100

    Profit = S.P. - C.P. = 102 - 100 = ₹ 2
    Hence, Required percent =
    2
    × 100 = 2%
    100

    Second method :
    Here, r = 20%, r1 = 15%
    Using the given formula ,
    Gain % =
    r × (100 − r1)
    − r1
    100

    Gain % =
    20 × (100 − 15)
    − 15
    100

    =
    20 × 85
    − 15
    100

    Gain % = 17 – 15 = 2%



  1. How much percent more than the cost price should a shopkeeper mark his goods so that after allowing a discount of 25% on the marked price, he gains 20% ?
    1. 70%
    2. 50%
    3. 60%
    4. 55%

  1. View Hint View Answer Discuss in Forum

    Given that , discount = 25% and gains = 20%
    Let C.P.of article = 100
    If the marked price of article be y, then

    y ×
    75
    = 120
    100

    ⇒  y =
    120 × 100
    = 160
    75

    ⇒ 160 - 100 = ₹ 60 i.e. 60% above the cost price .
    Second method to solve this question :
    Here . r = 25%, R = 20%
    Required percentage =
    r + R
    × 100%
    100 − r

    Correct Option: C

    Given that , discount = 25% and gains = 20%
    Let C.P.of article = 100
    If the marked price of article be y, then

    y ×
    75
    = 120
    100

    ⇒  y =
    120 × 100
    = 160
    75

    ⇒ 160 - 100 = ₹ 60 i.e. 60% above the cost price .
    Second method to solve this question :
    Here . r = 25%, R = 20%
    Required percentage =
    r + R
    × 100%
    100 − r

    Required percentage =
    25 + 20
    × 100%
    100 − 25

    Required percentage =
    45
    × 100 = 60%
    75



  1. A grinder was marked at ₹ 3,600. After given a discount of 10% the dealer made a profit of 8%. Calculate the cost price.
    1. ₹ 3,000
    2. ₹ 3,312
    3. ₹ 3,240
    4. ₹ 2,960

  1. View Hint View Answer Discuss in Forum

    Here , marked price = ₹ 3,600 , discount = 10% , profit = 8%
    If the C.P. of grinder be y, then

    y × 108
    =
    3600 × 90
    = 3240
    100100

    ⇒  y =
    3240 × 100
    = ₹ 3000
    108

    Second method :
    Given that , M.P. = ₹ 3600, D = 10%, r = 8%, C.P. = ?
    M.P.
    =
    100 + r
    C.P.100 − D

    Correct Option: A

    Here , marked price = ₹ 3,600 , discount = 10% , profit = 8%
    If the C.P. of grinder be y, then

    y × 108
    =
    3600 × 90
    = 3240
    100100

    ⇒  y =
    3240 × 100
    = ₹ 3000
    108

    Second method :
    Given that , M.P. = ₹ 3600, D = 10%, r = 8%, C.P. = ?
    M.P.
    =
    100 + r
    C.P.100 − D

    3600
    =
    100 + 8
    C.P.100 − 10

    C.P. =
    3600 × 90
    108

    C.P. =
    3600 × 10
    = ₹ 3000
    12



  1. A profit of 10% is made after giving a discount of 5% on a T. V. If the marked price of the TV is ₹ 2640.00, the cost price of the TV was :
    1. ₹ 2280
    2. ₹ 2296
    3. ₹ 2380
    4. ₹ 2396

  1. View Hint View Answer Discuss in Forum

    Here , profit = 10% and discount = 5%
    Let the C.P. of TV be y, then

    y × 110
    = 2640 ×
    95
    100100

    ⇒  y =
    2640 × 95
    = ₹ 2280
    110

    Second method :
    Here, r = 10% , D = 5% , M.P. = ₹ 2640 , C.P. = ?
    We can find required answer with the help of given formula ,
    M.P.
    =
    100 + r
    C.P.100 − D

    Correct Option: A

    Here , profit = 10% and discount = 5%
    Let the C.P. of TV be y, then

    y × 110
    = 2640 ×
    95
    100100

    ⇒  y =
    2640 × 95
    = ₹ 2280
    110

    Second method :
    Here, r = 10% , D = 5% , M.P. = ₹ 2640 , C.P. = ?
    We can find required answer with the help of given formula ,
    M.P.
    =
    100 + r
    C.P.100 − D

    2640
    =
    100 + 10
    C.P.100 − 5

    C.P. =
    2640 × 95
    110

    C.P. = 24 × 95 = ₹ 2280