Discount


  1. If the discount of 10% is given on the marked price of a radio, the gain is 20%. If the discount is increased to 20%, the gain percent is :
    1. 5%
    2. 6
      1
      %
      4
    3. 6
      2
      %
      3
    4. 7
      5
      %
      8

  1. View Hint View Answer Discuss in Forum

    Let the C.P. of article be Rs. 100 and the marked price be Rs. q.
    Case I

    =
    q × 90
    = 120
    100

    ⇒  q =
    120 × 100
    90

    Marked price q = Rs.
    400
    3

    Case II
    S.P. =
    q × 80
    = Rs.
    4q
    1005

    = Rs.
    4
    ×
    400
    = Rs.
    320
    533

    ∴  Profit = Rs.
    320
    − 100
    3

    Correct Option: C

    Let the C.P. of article be Rs. 100 and the marked price be Rs. q.
    Case I

    =
    q × 90
    = 120
    100

    ⇒  q =
    120 × 100
    90

    Marked price q = Rs.
    400
    3

    Case II
    S.P. =
    q × 80
    = Rs.
    4q
    1005

    = Rs.
    4
    ×
    400
    = Rs.
    320
    533

    ∴  Profit = Rs.
    320
    − 100
    3

    Profit = Rs.
    320 − 300
    3

    Profit = Rs.
    20
    3

    ∴  Profit percent =
    20
    %
    3

    Profit percent = 6
    2
    %
    3


  1. A shopkeeper gains 17% after allowing a discount of 10% on the marked price of an article. Find his profit percent if the articles are sold at marked price allowing no discount.
    1. 30%
    2. 23%
    3. 27%
    4. 37%

  1. View Hint View Answer Discuss in Forum

    Let C.P of article = Rs. 100
    M.P. of article = Rs. k
    According to the question,

    k × 90
    = 117
    100

    ⇒  k =
    117 × 100
    = Rs. 130
    90

    Correct Option: A

    Let C.P of article = Rs. 100
    M.P. of article = Rs. k
    According to the question,

    k × 90
    = 117
    100

    ⇒  k =
    117 × 100
    = Rs. 130
    90

    marked price = k = Rs. 130
    ∴  On allowing no discount profit = 30%



  1. Ram bought a T.V. with 20 % discount on the labelled price. Had he bought it with 30 % discount he would have saved ₹ 800. The value of the T.V. set that he bought is
    1. ₹ 5,000
    2. ₹ 8,000
    3. ₹ 9,000
    4. ₹ 10,000

  1. View Hint View Answer Discuss in Forum

    Let Marked price of TV = Rs. q
    According to question,

    q × 80
    q × 70
    = 800
    100100

    ⇒ 
    10q
    = 800
    100

    Correct Option: B

    Marked price of TV = Rs. q (let)
    According to question,

    q × 80
    q × 70
    = 800
    100100

    ⇒ 
    10q
    = 800
    100

    ⇒  q =
    800 × 100
    = Rs. 8000
    10


  1. A shopkeeper allows 10% discount on goods when he sells without credit. Cost price of his goods is 80% of his selling price. If he sells his goods by cash, then his profit is
    1. 50%
    2. 70%
    3. 25%
    4. 40%

  1. View Hint View Answer Discuss in Forum

    Let Marked price of article= Rs. p

    ∴ S.P. of article =
    90p
    100

    = Rs.
    9p
    10

    ∴  C.P. =
    80p × 9p
    =
    36p
    100 × 1050

    ∴  Gain =
    9p
    36p
    1050

    Correct Option: C

    Let Marked price of article= Rs. p

    ∴ S.P. of article =
    90p
    100

    = Rs.
    9p
    10

    ∴  C.P. =
    80p × 9p
    =
    36p
    100 × 1050

    ∴  Gain =
    9p
    36p
    1050

    Gain =
    45p − 36p
    = Rs.
    9p
    5050

    ∴  Gain %=
    9p/50
    × 100 = 25 %
    36p/50



  1. A cycle dealer offers a discount of 10 % and still makes a profit of 26 %. What does he pay for a cycle whose marked price is ₹ 840 ?
    1. ₹ 600
    2. ₹ 650
    3. ₹ 700
    4. ₹ 750

  1. View Hint View Answer Discuss in Forum

    Let C.P. of cycle = Rs. p

    ∴  840 ×
    90
    =
    p × 126
    100100

    2nd method to solve this question.
    Here, r = 26%, D = 10%, M.P. = ₹ 840
    M.P.
    =
    100 + r
    C.P.100 − D

    Correct Option: A

    Let C.P. of cycle = Rs. p

    ∴  840 ×
    90
    =
    p × 126
    100100

    ⇒  p × 126 = 840 × 90
    ⇒  p =
    840 × 90
    = ₹ 600
    126

    2nd method to solve this question.
    Here, r = 26%, D = 10%, M.P. = ₹ 840
    M.P.
    =
    100 + r
    C.P.100 − D

    840
    =
    100 + 26
    M.P.100 − 10

    C.P. =
    840 × 90
    = Rs. 600
    126