Discount


  1. By giving a discount of 10% on the marked price of ₹ 1100 of a cycle, a dealer gains 10%. The cost price of the cycle is :
    1. ₹ 1100
    2. ₹ 900
    3. ₹ 1089
    4. ₹ 891

  1. View Hint View Answer Discuss in Forum

    Given that , discount = 10% and marked price of cycle = ₹ 1100
    Selling Price = ₹ (1100 – 10% of 1100) = ₹ (1100 – 110) = 990
    Let the cost price = y
    According to question ,
    ∴  y + 10% of y = 990

    ⇒ 
    11y
    = 990
    10

    ⇒  y =
    990 × 10
    = ₹ 900
    11

    Second method to solve this question :
    Here, r = 10% , D = 10% , M.P. = ₹ 1100 , C.P. = ?
    M.P.
    =
    100 + r
    C.P.100 − D

    Correct Option: B

    Given that , discount = 10% and marked price of cycle = ₹ 1100
    Selling Price = ₹ (1100 – 10% of 1100) = ₹ (1100 – 110) = 990
    Let the cost price = y
    According to question ,
    ∴  y + 10% of y = 990

    ⇒ 
    11y
    = 990
    10

    ⇒  y =
    990 × 10
    = ₹ 900
    11

    Second method to solve this question :
    Here, r = 10% , D = 10% , M.P. = ₹ 1100 , C.P. = ?
    M.P.
    =
    100 + r
    C.P.100 − D

    1100
    =
    100 + 10
    C.P.100 − 10

    C.P. =
    1100 × 90
    = ₹ 900
    110


  1. A shopkeeper earns a profit of 10% after allowing a discount of 20% on the marked price. The cost price of the article whose marked price is ₹ 880, is
    1. ₹ 704
    2. ₹ 640
    3. ₹ 774
    4. ₹ 680

  1. View Hint View Answer Discuss in Forum

    Given Here , marked price = ₹ 880
    SP of article = (100 – 20)% of 880 = 80% of 880
    Let CP be y
    Again, 110% of y = 704

    y =
    704
    × 100 = ₹ 640
    110

    ∴  Original cost = ₹ 640
    We can find required answer with the help of given formula :
    Here, r = 10%, D = 20%, M.P. = ₹ 880, C.P. = ?
    M.P.
    =
    100 + r
    C.P.100 − D

    Correct Option: B

    Given Here , marked price = ₹ 880
    SP of article = (100 – 20)% of 880 = 80% of 880
    Let CP be y
    Again, 110% of y = 704

    y =
    704
    × 100 = ₹ 640
    110

    ∴  Original cost = ₹ 640
    We can find required answer with the help of given formula :
    Here, r = 10%, D = 20%, M.P. = ₹ 880, C.P. = ?
    M.P.
    =
    100 + r
    C.P.100 − D

    880
    =
    100 + 10
    C.P.100 − 20

    880
    =
    110
    C.P.80

    C.P. =
    880 × 80
    110

    C.P. = ₹ 640



  1. The marked price of an article is ₹ 200. A discount of 12
    1
    % is allowed on the marked price
    2
    and a profit of 25% is made. The cost price of the article is :
    1. ₹ 200
    2. ₹ 175
    3. ₹ 120
    4. ₹ 140

  1. View Hint View Answer Discuss in Forum

    Given that , marked price of an article = ₹ 200

    Discount = 12
    1
    % =
    25
    %
    22

    After discount , S.P. = ₹ 200 × 87.5 = ₹ 175
    Gain % = 25%
    Required C.P. = ₹
    100
    × 175 = ₹ 140
    125

    Using the given formula :
    Here, r = 25% , D = 12.5% , M.P. = ₹ 200 , C.P. = ?
    M.P.
    =
    100 + r
    C.P.100 − D

    Correct Option: D

    Given that , marked price of an article = ₹ 200

    Discount = 12
    1
    % =
    25
    %
    22

    After discount , S.P. = ₹ 200 × 87.5 = ₹ 175
    Gain % = 25%
    Required C.P. = ₹
    100
    × 175 = ₹ 140
    125

    Using the given formula :
    Here, r = 25% , D = 12.5% , M.P. = ₹ 200 , C.P. = ?
    M.P.
    =
    100 + r
    C.P.100 − D

    200
    =
    100 + 25
    C.P.100 − 12.5

    C.P. =
    200 × 87.5
    125

    C.P. = ₹ 140


  1. A dealer offers a discount of 10% on the marked price of an article and still makes a profit of 20%. If its marked price is ₹ 800, then the cost price of the article is :
    1. ₹ 900
    2. ₹ 800
    3. ₹ 700
    4. ₹ 600

  1. View Hint View Answer Discuss in Forum

    Here , marked price = ₹ 800
    On discount of 10% ,

    S.P. of that article = 800 ×
    90
    = ₹ 720
    100

    He still makes 20% profit
    ∴  C.P. of the article = 720 ×
    100
    = ₹ 600
    120

    Second method to solve this question :
    Here, r = 20% , D = 10% , M.P. = ₹ 800 , C.P. = ?
    M.P.
    =
    100 + r
    C.P.100 − D

    Correct Option: D

    Here , marked price = ₹ 800
    On discount of 10% ,

    S.P. of that article = 800 ×
    90
    = ₹ 720
    100

    He still makes 20% profit
    ∴  C.P. of the article = 720 ×
    100
    = ₹ 600
    120

    Second method to solve this question :
    Here, r = 20% , D = 10% , M.P. = ₹ 800 , C.P. = ?
    M.P.
    =
    100 + r
    C.P.100 − D

    800
    =
    100 + 20
    C.P.100 − 10

    C.P. =
    800 × 90
    120

    C.P. = ₹ 600



  1. A shopkeeper marks his goods 50% more than the cost price and allows a discount of 25%. His profit or loss percentage is :
    1. 37.5%
    2. 25.5%
    3. 12.5%
    4. 25%

  1. View Hint View Answer Discuss in Forum

    Let C.P. of article be Rs. 100.
    ∴  Marked price = Rs. 150
    discount = 25%

    S.P. of article = Rs.
    150 × 75
    = Rs. 112.5
    100

    ∴  Profit = S.P. of article - C.P. of article = Rs. (112.5 – 100) = Rs. 12.5

    Correct Option: C

    Let C.P. of article be Rs. 100.
    ∴  Marked price = Rs. 150
    discount = 25%

    S.P. of article = Rs.
    150 × 75
    = Rs. 112.5
    100

    ∴  Profit = S.P. of article - C.P. of article = Rs. (112.5 – 100) = Rs. 12.5
    ∴ Profit percent =
    Profit
    × 100
    C.P.

    Profit percent =
    12.5
    × 100 = 12.5%
    100