Discount


  1. When a discount of Rs. 42 is allowed on the marked price of an article, the new reduced price becomes 86% of the original price. Find the marked price.









  1. View Hint View Answer Discuss in Forum

    Let the marked price of article be Rs. x.
    According to the question,
    x × (100 – 86)% = 42

    ⇒ 
    x × 14
    = 42
    100

    ⇒  x =
    42 × 100
    = Rs. 300
    14

    Correct Option: B

    Let the marked price of article be Rs. x.
    According to the question,
    x × (100 – 86)% = 42

    ⇒ 
    x × 14
    = 42
    100

    ⇒  x =
    42 × 100
    = Rs. 300
    14


  1. While selling a watch, a shopkeeper gives a discount of 5%. If he gives a discount of 7%, he earns Rs. 15 less as profit. The marked price of the watch is :









  1. View Hint View Answer Discuss in Forum

    Let the marked price of watch be Rs. x.
    According to the question,
    (7 – 5)% of x = 15

    ⇒ 
    x × 2
    = 15
    100

    ⇒  x =
    15 × 100
    = Rs. 750
    2

    Correct Option: C

    Let the marked price of watch be Rs. x.
    According to the question,
    (7 – 5)% of x = 15

    ⇒ 
    x × 2
    = 15
    100

    ⇒  x =
    15 × 100
    = Rs. 750
    2



  1. The cost price of an article is Rs. 200. If 20% profit is made after giving 20% discount on the marked price, the marked price is :









  1. View Hint View Answer Discuss in Forum

    Let the marked price of article be Rs. x.
    According to the question,

    x ×
    80
    =
    200 × 120
    100100

    ⇒  x = Rs.
    1200 × 120
    = Rs. 300
    80

    Correct Option: A

    Let the marked price of article be Rs. x.
    According to the question,

    x ×
    80
    =
    200 × 120
    100100

    ⇒  x = Rs.
    1200 × 120
    = Rs. 300
    80


  1. Rahim bought a T.V. with 20% discount on list price. Had he bought it with 25% discount he would have saved ₹ 500. At what price did he buy the T.V?









  1. View Hint View Answer Discuss in Forum

    Here , discount = 20% , saved money = ₹ 500 , discount = 25% ,
    If the marked price of T.V. be y, then,
    According to question,
    ∴ ( 25 - 20 )% of y = ₹ 500
    ⇒ 5% of y = ₹ 500

    y × 5
    = 500
    100

    ⇒  y =
    500 × 100
    = ₹ 10000
    5

    Correct Option: D

    Here , discount = 20% , saved money = ₹ 500 , discount = 25% ,
    If the marked price of T.V. be y, then,
    According to question,
    ∴ ( 25 - 20 )% of y = ₹ 500
    ⇒ 5% of y = ₹ 500

    y × 5
    = 500
    100

    ⇒  y =
    500 × 100
    = ₹ 10000
    5

    ∴  Initial S.P. of T.V. =
    10000 × 80
    = ₹ 8000
    100



  1. A trader gains 15% after selling an item at 10% discount on the printed price. The ratio of the cost price and printed price of the item is









  1. View Hint View Answer Discuss in Forum

    Given that , gains = 15% , discount = 10%
    Let the CP of article be p and its marked price be q.
    According to the question,
    90% of q = 115% of p

    ⇒ 
    q × 90
    =
    p × 115
    100100

    ⇒ 
    p
    =
    90
    =
    18
    ⇒18 : 23
    q11523

    Second method to solve this question :
    Here, r = 15%, D = 10%
    Using the given formula ,
    M.P.
    =
    100 + r
    C.P.100 − D

    Correct Option: A

    Given that , gains = 15% , discount = 10%
    Let the CP of article be p and its marked price be q.
    According to the question,
    90% of q = 115% of p

    ⇒ 
    q × 90
    =
    p × 115
    100100

    ⇒ 
    p
    =
    90
    =
    18
    ⇒18 : 23
    q11523

    Second method to solve this question :
    Here, r = 15%, D = 10%
    Using the given formula ,
    M.P.
    =
    100 + r
    C.P.100 − D

    M.P.
    =
    100 + 15
    C.P.100 − 10

    M.P.
    =
    115
    C.P.90

    C.P.
    =
    90
    M.P.115

    C.P.
    =
    18
    M.P.23

    ⇒  C.P. : M.P. = 18 : 23