Discount


  1. After allowing a discount of 12% on the marked price, a shopkeeper still gains 21%. The marked price is above the cost price by
    1. 25%
    2. 30%
    3. 37.5%
    4. 42.5%

  1. View Hint View Answer Discuss in Forum

    Given that , discount = 12% and gains = 21%
    C.P. of article = ₹ 100
    Marked price be y .

    ∴ 
    y × 88
    = 121
    100

    ⇒  y =
    121 × 100
    = ₹ 137.5
    88

    ∴ 137.5 - 100 = ₹ 37.5 i.e. 37.5% above C.P.
    Second method to solve this question :
    Here, r = 12% , R = 21%
    With the help of given formula ,
    Required percentage =
    r + R
    × 100%
    100 − r

    Correct Option: C

    Given that , discount = 12% and gains = 21%
    C.P. of article = ₹ 100
    Marked price be y .

    ∴ 
    y × 88
    = 121
    100

    ⇒  y =
    121 × 100
    = ₹ 137.5
    88

    ∴ 137.5 - 100 = ₹ 37.5 i.e. 37.5% above C.P.
    Second method to solve this question :
    Here, r = 12% , R = 21%
    With the help of given formula ,
    Required percentage =
    r + R
    × 100%
    100 − r

    Required percentage =
    12 + 21
    × 100%
    100 − 12

    Required percentage =
    33
    × 100%
    88

    =
    3
    × 100
    8

    Required percentage =
    300
    % = 37.5%
    8


  1. How much percent above the cost price should a shopkeeper mark his goods so as to earn a profit of 32% after allowing a discount of 12% on the marked price ?
    1. 50%
    2. 40%
    3. 60%
    4. 45%

  1. View Hint View Answer Discuss in Forum

    Given in question , Profit = 32% and discount = 12%
    Let the C.P. be 100 and the marked price be y.

    ∴  y ×
    88
    = 132
    100

    ⇒  x =
    132 × 100
    88

    = 150 i.e., more by 50%
    Second method to solve this question :
    Here, r = 12% , R = 32%
    Required percentage =
    r + R
    × 100%
    100 − r

    Correct Option: A

    Given in question , Profit = 32% and discount = 12%
    Let the C.P. be 100 and the marked price be y.

    ∴  y ×
    88
    = 132
    100

    ⇒  x =
    132 × 100
    88

    = 150 i.e., more by 50%
    Second method to solve this question :
    Here, r = 12% , R = 32%
    Required percentage =
    r + R
    × 100%
    100 − r

    Required percentage =
    12 + 32
    × 100%
    100 − 12

    Required percentage =
    44
    × 100 = 50%
    88



  1. A tradesman marks his goods at such a price that after allowing a discount of 15%, he makes a profit of 20%. What is the marked price of an article whose cost price is ₹ 170 ?
    1. ₹ 240
    2. ₹ 260
    3. ₹ 220
    4. ₹ 200

  1. View Hint View Answer Discuss in Forum

    Here , Cost price = ₹ 170 , discount = 15% , profit = 20%
    If the marked price be y, then

    y ×
    85
    =
    170 × 120
    100100

    ⇒  y =
    170 × 120
    = ₹ 240
    85

    Second method :
    Given Here, D = 15% , r = 20% , C.P. = ₹ 170
    Using the given formula ,
    M.P.
    =
    100 + r
    C.P.100 − D

    Correct Option: A

    Here , Cost price = ₹ 170 , discount = 15% , profit = 20%
    If the marked price be y, then

    y ×
    85
    =
    170 × 120
    100100

    ⇒  y =
    170 × 120
    = ₹ 240
    85

    Second method :
    Given Here, D = 15% , r = 20% , C.P. = ₹ 170
    Using the given formula ,
    M.P.
    =
    100 + r
    C.P.100 − D

    M.P.
    =
    100 + 20
    170100 − 15

    M.P.
    =
    120
    17085

    M.P. =
    120 × 170
    = ₹ 240
    85


  1. A trader allows a trade discount of 20% and a cash discount of 6
    1
    % on the
    4

    marked price of the goods and gets a net gain of 20% of the cost. By how much above the cost should the goods be marked for the sale ?
    1. 40%
    2. 50%
    3. 60%
    4. 70%

  1. View Hint View Answer Discuss in Forum

    Let C.P. of article = ₹ 100
    Marked price = y

    Single equivalent discount for a% and b% = a + b -
    a × b
    %
    100

    Here , a = 20% , b = ( 25 /4 )%
    Single equivalent discount = 20 +
    25
    20 × 25
    % = 25%
    4400

    Correct Option: C

    Let C.P. of article = ₹ 100
    Marked price = y

    Single equivalent discount for a% and b% = a + b -
    a × b
    %
    100

    Here , a = 20% , b = ( 25 /4 )%
    Single equivalent discount = 20 +
    25
    20 × 25
    % = 25%
    4400

    On 25% discount ,
    ∴  y ×
    75
    = 120
    100

    ⇒  y =
    120 × 100
    = ₹ 160
    75

    Marked price = ₹ 160
    ⇒  160 – 100 = 60
    Required percent =
    60
    × 100 = 60%
    100



  1. An article of cost price ₹ 8,000 is marked at ₹ 11,200. After allowing a discount of x% a profit of 12% is made. The value of x is
    1. 21%
    2. 20%
    3. 22%
    4. 23%

  1. View Hint View Answer Discuss in Forum

    Here , cost price of article = ₹ 8,000 and marked price = ₹ 11,200

    S.P. for a profit of 12% =
    8000 × 112
    = ₹ 8960
    100

    ∴  Discount = marked price - S.P.
    ∴  Discount = 11200 – 8960 =₹ 2240
    If the discount percent be x, then
    11200 × x
    = 2240
    100

    x =
    2240 × 100
    = 20%
    11200

    Second method :
    Here, M.P. = ₹ 11200 , C.P. = ₹ 8000 , r = 12% , D = x%
    Using the given formula ,
    M.P.
    =
    100 + r
    C.P.100 − D

    Correct Option: B

    Here , cost price of article = ₹ 8,000 and marked price = ₹ 11,200

    S.P. for a profit of 12% =
    8000 × 112
    = ₹ 8960
    100

    ∴  Discount = marked price - S.P.
    ∴  Discount = 11200 – 8960 =₹ 2240
    If the discount percent be x, then
    11200 × x
    = 2240
    100

    x =
    2240 × 100
    = 20%
    11200

    Second method :
    Here, M.P. = ₹ 11200 , C.P. = ₹ 8000 , r = 12% , D = x%
    Using the given formula ,
    M.P.
    =
    100 + r
    C.P.100 − D

    11200
    =
    100 + 12
    8000100 − x

    =
    11200
    =
    112
    8000100 − x

    ⇒ 100 – x = 80
    ⇒ x = 20%