Discount


  1. A dealer marks his goods 20% above cost price. He then allows some discount on it and makes a profit of 8%. The rate of discount is









  1. View Hint View Answer Discuss in Forum

    Let C.P. of article = Rs. 100
    ∴  Marked price = Rs. 120
    On profit of 8% , Its S.P. = Rs. 108
    ∴  Discount = Rs. (120 – 108) = Rs. 12
    ∴  If discount be y%, then,

    120 ×
    y
    = 12
    100

    Correct Option: C

    Let C.P. of article = Rs. 100
    ∴  Marked price = Rs. 120
    On profit of 8% , Its S.P. = Rs. 108
    ∴  Discount = Rs. (120 – 108) = Rs. 12
    ∴  If discount be y%, then,

    120 ×
    y
    = 12
    100

    ⇒  y =
    12 × 100
    = 10%
    120


  1. A shopkeeper marks his goods 40% above the cost price and allows a discount of 25% on it. His gain per cent is









  1. View Hint View Answer Discuss in Forum

    Suppose C.P. of article = Rs. 100
    ∴  Its marked price = Rs. ( 100 + 40 ) = 140
    Discount = 25%

    ∴ S.P. of article = Rs.
    140 × 75
    = Rs. 105
    100

    Profit = S.P. of article - C.P. of article = 105 - 100 = Rs. 5

    Correct Option: A

    Suppose C.P. of article = Rs. 100
    ∴  Its marked price = Rs. ( 100 + 40 ) = 140
    Discount = 25%

    ∴ S.P. of article = Rs.
    140 × 75
    = Rs. 105
    100

    Profit = S.P. of article - C.P. of article = 105 - 100 = Rs. 5
    ∴ Profit percent =
    Profit
    × 100
    C.P.

    Profit percent =
    5
    × 100 = 5%
    100



  1. If a shop-keeper marks his goods for a certain amount so as to get 25% gain after allowing a discount of 20%, then his marked price is









  1. View Hint View Answer Discuss in Forum

    Let the marked price of article be Rs. y and its cost price be Rs. 100.
    According to the question.
    (100 – 20)% of y = 125

    ⇒ y ×
    80
    = 125
    100

    Correct Option: A

    Let the marked price of article be Rs. y and its cost price be Rs. 100.
    According to the question.
    (100 – 20)% of y = 125

    ⇒ y ×
    80
    = 125
    100

    ⇒  y = Rs.
    125 × 100
    = Rs. 156.25
    80


  1. An article was sold at Rs. 950 allowing 5% discount on the marked price. The marked price of the article is









  1. View Hint View Answer Discuss in Forum

    Given that , S.P. of article = Rs. 950
    Let the marked price of article be Rs. y.
    According to the question,
    95% of y = 950

    ⇒  y ×
    950
    = 950
    100

    Correct Option: B

    Given that , S.P. of article = Rs. 950
    Let the marked price of article be Rs. y.
    According to the question,
    95% of y = 950

    ⇒  y ×
    950
    = 950
    100

    ⇒ y =
    950 × 100
    = Rs. 1000
    95



  1. A trader purchased a gift box for Rs. 150. What should be the marked price on the gift box so that after allowing a discount of 10%, he makes a profit of 10%?









  1. View Hint View Answer Discuss in Forum

    Here , C.P. of gift box = Rs. 150
    Suppose Marked price of gift box = Rs. y
    According to the question,
    ( 100 - 10 )% of y = ( 100 + 10 )% of 150

    90y
    =
    150 × 110
    100100

    ⇒  90y = 150 × 110

    Correct Option: B

    Here , C.P. of gift box = Rs. 150
    Suppose Marked price of gift box = Rs. y
    According to the question,
    ( 100 - 10 )% of y = ( 100 + 10 )% of 150

    90y
    =
    150 × 110
    100100

    ⇒  90y = 150 × 110
    ⇒ y =
    150 × 110
    = Rs. 183.3
    100