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. 4%
    2. 6%
    3. 10%
    4. 12%

  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. 5%
    2. 10%
    3. 15%
    4. 20%

  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. Rs. 156.25
    2. Rs. 146.25
    3. Rs. 166.25
    4. Rs. 150.25

  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. Rs. 960
    2. Rs. 1000
    3. Rs. 955
    4. Rs. 945

  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. Rs. 180
    2. Rs. 183.3
    3. Rs. 186.6
    4. Rs. 190

  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