Discount


  1. The marked price of an article is ₹ 500. A shopkeeper gives a discount of 5% and still makes a profit of 25%. The cost price of the article is.
    1. ₹ 384
    2. ₹ 380
    3. ₹ 300
    4. ₹ 376

  1. View Hint View Answer Discuss in Forum

    Let Cost price of the article = ₹ p

    ∴  p ×
    125
    =
    500 × 95
    100100

    2nd method to solve this question.
    Here, R = 25%, D = 5%,
    M.P. = ₹ 500, C.P. = ?
    M.P.
    =
    100 + r
    C.P.100 − D

    Correct Option: B

    Let Cost price of the article = ₹ p

    ∴  p ×
    125
    =
    500 × 95
    100100

    ⇒  p =
    500 × 95
    = ₹ 380
    125

    2nd method to solve this question.
    Here, R = 25%, D = 5%,
    M.P. = ₹ 500, C.P. = ?
    M.P.
    =
    100 + r
    C.P.100 − D

    500
    =
    100 + 25
    C.P.100 − 5

    C.P.=
    500 × 95
    = ₹ 380
    125


  1. Anand marks up the price of an article by 50 % and then allows a discount of 20 % and sells it to Balaji. Balaji sells it for ₹ 20 more than what he purchased for, this S.P is 30 % more than the original C.P of the article. Then Balaji’s profit % is
    1. 7.5%
    2. 6.66%
    3. 8.33%
    4. 9%

  1. View Hint View Answer Discuss in Forum

    Let us assume the cost price = ₹ p
    For Anand,

    Marked price = ₹
    3
    p
    2

    Selling price =
    3p
    ×
    80
    2100

    For Balaji,
    Cost price = ₹
    6p
    5

    Selling price = ₹
    6p
    + 20
    5

    ∴ 
    6p
    + 20 =
    p × 130
    5100

    Correct Option: C

    Let us assume the cost price = ₹ p
    For Anand,

    Marked price = ₹
    3
    p
    2

    Selling price =
    3p
    ×
    80
    2100

    = ₹
    6p
    5

    For Balaji,
    Cost price = ₹
    6p
    5

    Selling price = ₹
    6p
    + 20
    5

    ∴ 
    6p
    + 20 =
    p × 130
    5100

    ⇒ 
    13p
    6p
    = 20
    105

    ⇒ 
    13p − 12p
    = 20
    10

    ⇒ 
    p
    = 20
    10

    ⇒  p = ₹ 200
    ∴  Required gain percent =
    20
    ×100
    6p
    5

    ⇒  Required gain percent =
    20 × 5 × 100
    6 × p

    ⇒  Required gain percent =
    20 × 5 × 100
    =
    25
    = 8.33%
    6 × 2003

    ∴ Required gain percent is 8.33% .



  1. A merchant purchases a wrist watch for ₹ 450 and fixes its list price in such a way that after allowing a discount of 10%, he earns a profit of 20%. Find the list price of the watch.
    1. ₹ 480
    2. ₹ 450
    3. ₹ 600
    4. ₹ 540

  1. View Hint View Answer Discuss in Forum

    Let marked price of the wrist watch be p.

    ∴ 
    90p
    =
    450 × 120
    100100

    ⇒  90p = 450 × 120
    ∴  p =
    450 × 120
    = ₹ 600
    90

    2nd method to solve this question.
    Here, r1 = 10%, profit = 20%,r = ?
    Gain % =
    r ×(100 − r1)
    − r1
    100

    20 =
    r × (100 − 10)
    − 10
    100

    20 =
    9r
    − 10
    10

    Correct Option: C

    Let marked price of the wrist watch be p

    ∴ 
    90p
    =
    450 × 120
    100100

    ⇒  90p = 450 × 120
    ∴  p =
    450 × 120
    = ₹ 600
    90

    2nd method to solve this question.
    Here, r1 = 10%, profit = 20%,r = ?
    Gain % =
    r ×(100 − r1)
    − r1
    100

    20 =
    r × (100 − 10)
    − 10
    100

    20 =
    9r
    − 10
    10

    30 =
    9r
    10

    r =
    300
    %
    9

    ∴  List price = 450 + 450 ×
    300
    %
    9

    List price = 450 + 450 ×
    300
    900

    Required List price = 450 + 150 = ₹ 600


  1. A merchant allows a discount of 10% on marked price for the cash payment. To make a profit of 17%, he must mark his goods higher than their cost price by
    1. 33%
    2. 40%
    3. 27%
    4. 30%

  1. View Hint View Answer Discuss in Forum

    C.P. of article = ₹ 100
    Let marked price of article p.

    ∴  p ×
    90
    = 117
    100

    2nd method to solve this question.
    Here, r1 = 10%, Gain % = 17%, r = ?
    Gain % =
    r ×(100 − r1)
    − r1
    100

    Correct Option: D

    C.P. of article = ₹ 100
    Let marked price of article p.

    ∴  p ×
    90
    = 117
    100

    ⇒  p =
    117 × 100
    90

    = ₹ 130 or 30% above the cost price.
    2nd method to solve this question.
    Here, r1 = 10%, Gain % = 17%, r = ?
    Gain % =
    r ×(100 − r1)
    − r1
    100

    17 =
    r × (100 − 10)
    − 10
    100

    27 =
    r × 90
    100

    r = 30%



  1. In a shop, shirts are usually sold at 40% above the cost price. During a sale, the shopkeeper offers a discount of 10% off the usual selling price. If he manages to sell 72 shirts for ₹ 13,608, then his cost price per shirt, (in ₹) is
    1. 210
    2. 150
    3. 149
    4. 125

  1. View Hint View Answer Discuss in Forum

    Let the CP of each shirt be
    ₹ 100, then SP = ₹ 140.

    ∴  New SP =
    140 × 90
    = ₹ 126
    100

    ∴  When S.P. is ₹ 126
    C.P. = ₹ 100
    ∴  When S.P. is ₹
    13680
    ,
    72

    Correct Option: B

    Let the CP of each shirt be
    ₹ 100, then SP = ₹ 140.

    ∴  New SP =
    140 × 90
    = ₹ 126
    100

    ∴  When S.P. is ₹ 126
    C.P. = ₹ 100
    ∴  When S.P. is ₹
    13680
    ,
    72

    then C.P. =
    100
    ×
    13680
    = ₹ 150
    12672