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. 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. 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. 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 dealer marks his goods 20% above their cost price. He then allows some discount on marked price so that he makes a profit of 10%. The rate of discount is









  1. View Hint View Answer Discuss in Forum

    Let cost price of article = ₹ 100

    ∴  Marked price of article =
    100 × 120
    = ₹ 120
    100

    S.P. of article = ₹ 110
    ∴  Discount = 120 – 110 = ₹ 10
    ∴  Let us assume that the discount = p %, then solve the question.
    2nd method to solve this question.
    Here, r = 20%, Profit = 10%
    Let, discount r1 = p%
    Profit % =
    r ×(100 − r1)
    − r1
    100

    Correct Option: D

    Let cost price of article = ₹ 100

    ∴  Marked price of article =
    100 × 120
    = ₹ 120
    100

    S.P. of article = ₹ 110
    ∴  Discount = 120 – 110 = ₹ 10
    ∴  Let us assume that discount = p %, then
    12 × p
    = 10
    100


    ⇒  p=
    10 × 100
    =
    25
    = 8
    1
    %
    12033

    2nd method to solve this question.
    Here, r = 20%, Profit = 10%
    Let, discount r1 = p%
    Profit % =
    r ×(100 − r1)
    − r1
    100

    10 =
    20 × (100 − p)
    − r1
    100

    1000 = 2000 – 20p – 100p
    –1000 = –120p
    p =
    100
    12

    p =
    25
    = 8
    1
    %
    33



  1. A shopkeeper marks the price of an item keeping 20% profit. If he offers a discount of
    12
    1
    % on the marked price, his gain percent will be
    2









  1. View Hint View Answer Discuss in Forum

    Let the cost price be ₹ 100.
    ∴  Marked price = ₹ 120

    SP = 87
    1
    % of 120
    2

    =
    175
    × 120 = ₹ 105
    200

    ∴  Gain percent = 5%
    Gain percent = 5%
    2nd method to solve this question.
    Here, r = 20%,
    r1 = 12
    1
    %
    2

    Correct Option: B

    Let the cost price be ₹ 100.
    ∴  Marked price = ₹ 120

    SP = 87
    1
    % of 120
    2

    =
    175
    × 120 = ₹ 105
    200

    ∴  Gain percent = 5%
    Gain percent = 5%
    2nd method to solve this question.
    Here, r = 20%,
    r1 = 12
    1
    %
    2

    Profit % =
    r × (100 − r1)
    − r1
    100



    Profit % = 20 × 100 −
    25
    2
    25
    1002

    Profit % =
    20 × 175
    − 12.5
    200

    Required Profit % = 17.5 – 12.5 = 5%