Discount


  1. If a retailer offers a discount of 32% on the marked price of his goods and thus ends up selling at cost price, what was the percentage markup price?









  1. View Hint View Answer Discuss in Forum

    Let the marked price of article be Rs. x and the C.P. be Rs. 100.
    According to the question,
    (100 – 32)% of x = 100

    ⇒ 
    x × 68
    = 100
    100

    ⇒  x × 68 = 100 × 100
    ⇒  x =
    100 × 100
    =
    2500
    6817

    = Rs. 147.05
    i.e., 47.05% above the cost price.

    Correct Option: B

    Let the marked price of article be Rs. x and the C.P. be Rs. 100.
    According to the question,
    (100 – 32)% of x = 100

    ⇒ 
    x × 68
    = 100
    100

    ⇒  x × 68 = 100 × 100
    ⇒  x =
    100 × 100
    =
    2500
    6817

    = Rs. 147.05
    i.e., 47.05% above the cost price.


  1. A shopkeeper gains ₹ 56 on a toy after allowing 23% discount on its marked price. If his gain is 10%, then the marked price of the toy is :









  1. View Hint View Answer Discuss in Forum

    Let marked price of toy be y

    ∴ S.P. = y ×
    77
    =
    77y
    100100

    C.P. = y ×
    77
    ×
    100
    =
    7y
    10011010

    gains = ₹ 56
    ∴ gains = SP - CP
    ∴ 
    77y
    7y
    = 56
    10010

    Correct Option: B

    Let marked price of toy be y

    ∴ S.P. = y ×
    77
    =
    77y
    100100

    C.P. = y ×
    77
    ×
    100
    =
    7y
    10011010

    gains = ₹ 56
    ∴ gains = SP - CP
    ∴ 
    77y
    7y
    = 56
    10010

    ⇒ 
    7y
    = 56
    100

    ⇒  y =
    100 × 56
    = ₹ 800
    7



  1. After allowing a discount of 12% on the marked price of an article, it is sold for ₹ 880. Find its marked price.









  1. View Hint View Answer Discuss in Forum

    Here , discount = 12% , SP of an article = ₹ 880

    ∴ Marked price =
    100
    × SP of an article
    100 − Discount

    Marked price =
    100
    ×880 = ₹ 1000
    100 − 12

    We can find the required answer with the help of given formula :
    Here, S.P. = ₹ 880, D = 12%, M.P. = ?
    M.P. =
    S.P. × 100
    100 − D

    Correct Option: C

    Here , discount = 12% , SP of an article = ₹ 880

    ∴ Marked price =
    100
    × SP of an article
    100 − Discount

    Marked price =
    100
    ×880 = ₹ 1000
    100 − 12

    We can find the required answer with the help of given formula :
    Here, S.P. = ₹ 880, D = 12%, M.P. = ?
    M.P. =
    S.P. × 100
    100 − D

    M.P. =
    880 × 100
    100 − 12

    M.P. =
    880 × 100
    = ₹ 1000
    88


  1. A fan in a shop is offered at a discount of 10%. It is sold during clearance sale at 6% discount over the already discounted price at ₹ 846. The original marked price of the fan is









  1. View Hint View Answer Discuss in Forum

    Given that , discount = 6% , SP of fan = ₹ 846

    Marked price =
    SP of fan × 100
    100 - Discount

    Marked price =
    846 × 100
    100 - 6

    Correct Option: A

    Given that , discount = 6% , SP of fan = ₹ 846

    Marked price =
    SP of fan × 100
    100 - Discount

    Marked price =
    846 × 100
    100 - 6

    Marked price =
    846 × 100
    = ₹ 900
    94



  1. Mr. A bought a refrigerator with 16
    2
    % discount on the labelled price. Had
    3

    he bought it with 25% discount, he would have saved ₹ 600. At what price did he buy the refrigerator ?









  1. View Hint View Answer Discuss in Forum

    Here , First discount = 25% , Second discount = ( 50 / 3 )% ,

    Difference of discounts = 25 −
    50
    % =
    25
    %
    33

    Let the marked price be y, then
    According to question ,
    y × 25
    = 600
    300

    ⇒  y = ₹ 7200
    ∴  Required S.P. = 7200 × 100 −
    50
    %
    3

    Correct Option: A

    Here , First discount = 25% , Second discount = ( 50 / 3 )% ,

    Difference of discounts = 25 −
    50
    % =
    25
    %
    33

    Let the marked price be y, then
    According to question ,
    y × 25
    = 600
    300

    ⇒  y = ₹ 7200
    ∴  Required S.P. = 7200 × 100 −
    50
    %
    3

    Required S.P. =
    7200 × 250
    = ₹ 6000
    300