Discount


  1. A pen is listed for ₹ 12. A discount of 15% is given on it. A second discount is given bringing the price down to ₹ 8.16. The rate of second discount is
    1. 20%
    2. 15%
    3. 18%
    4. 25%

  1. View Hint View Answer Discuss in Forum

    Let the rate of second discount be x %
    After 15% discount,

    Price of pen =
    85
    × 12 = ₹ 10.20
    100

    Now, 10.20 – 8.16 = ₹ 2.04
    It is second discount.
    ∴ 
    x
    ×10.20 = 2.04
    100

    ⇒  10.2x = 204
    ⇒ x =
    204
    = 20%
    10.2

    Correct Option: A

    Let the rate of second discount be x %
    After 15% discount,

    Price of pen =
    85
    × 12 = ₹ 10.20
    100

    Now, 10.20 – 8.16 = ₹ 2.04
    It is second discount.
    ∴ 
    x
    ×10.20 = 2.04
    100

    ⇒  10.2x = 204
    ⇒ x =
    204
    = 20%
    10.2


  1. The marked price of a toy is ₹ 60 and at a discount that was sold for ₹ 45. Then rate of discount allowed is
    1. 30%
    2. 35%
    3. 20%
    4. 25%

  1. View Hint View Answer Discuss in Forum

    If the rate of discount be x%, then

    60 × x
    = 60 − 45 = 15
    100

    ⇒  x =
    15 × 100
    = 25%
    60

    Second Method :
    M.P. = ₹ 60
    S.P. = ₹ 5
    Discount % =
    M.P. − S.P.
    × 100
    M.P.

    Discount % =
    60 − 45
    × 100
    60

    =
    15
    × 100 = 25%
    60

    Correct Option: D

    If the rate of discount be x%, then

    60 × x
    = 60 − 45 = 15
    100

    ⇒  x =
    15 × 100
    = 25%
    60

    Second Method :
    M.P. = ₹ 60
    S.P. = ₹ 5
    Discount % =
    M.P. − S.P.
    × 100
    M.P.

    Discount % =
    60 − 45
    × 100
    60

    =
    15
    × 100 = 25%
    60



  1. A toy train is marked at ₹ 400 and sold at a discount of 8% during Ganesh puja. A shopkeeper announces a discount of 8%. The amount he will loose if he announces a single discount of 16% is
    1. ₹ 2.56
    2. ₹ 3.84
    3. ₹ 4.16
    4. ₹ 5.78

  1. View Hint View Answer Discuss in Forum

    Single equivalent discount for successive discounts of 8% and 8%

    = 8 + 8 −
    8 × 8
    %
    100

    = (16 − 0.64)%
    ∴  Difference = 0.64%
    ∴  Loss = 400 × 0.64%
    Amount he will losse =
    400 × 64
    = ₹ 2.56
    100 × 100

    Correct Option: A

    Single equivalent discount for successive discounts of 8% and 8%

    = 8 + 8 −
    8 × 8
    %
    100

    = (16 − 0.64)%
    ∴  Difference = 0.64%
    ∴  Loss = 400 × 0.64%
    Amount he will losse =
    400 × 64
    = ₹ 2.56
    100 × 100


  1. For a certain article, if discount is 25% the profit is 25%. If the discount is 10%, then the profit is
    1. 50%
    2. 40%
    3. 30%
    4. 33
      1
      %
      3

  1. View Hint View Answer Discuss in Forum

    Let the marked price be x and cost price be 100, then

    x × 75
    = 125
    100

    ⇒  x =
    125 × 100
    = ₹
    500
    753

    S.P. after a discount of 10% =
    500
    ×
    90
    = ₹ 150
    3100

    ∴  Gain per cent = 50%
    Second Method :Here, r = 25%, D = 25%.
    M.P.
    =
    100 + 25
    C.P.100 − 25

    M.P.
    =
    125
    =
    5
    C.P.753

    Now, D =10%
    Profit = ?
    M.P.
    =
    100 + r
    C.P.100 − D

    5
    =
    100 + r
    3100 − D

    100 + r =
    5
    × 90
    3

    r = 150 – 100
    r = 50%

    Correct Option: A

    Let the marked price be x and cost price be 100, then

    x × 75
    = 125
    100

    ⇒  x =
    125 × 100
    = ₹
    500
    753

    S.P. after a discount of 10% =
    500
    ×
    90
    = ₹ 150
    3100

    ∴  Gain per cent = 50%
    Second Method :Here, r = 25%, D = 25%.
    M.P.
    =
    100 + 25
    C.P.100 − 25

    M.P.
    =
    125
    =
    5
    C.P.753

    Now, D =10%
    Profit = ?
    M.P.
    =
    100 + r
    C.P.100 − D

    5
    =
    100 + r
    3100 − D

    100 + r =
    5
    × 90
    3

    r = 150 – 100
    r = 50%



  1. A reduction of 10% in the price of a commodity enables a person to buy 25 kg more for ₹ 225. The original price of the commodity per kg was
    1. ₹ 2
    2. ₹ 1
    3. ₹ 2.50
    4. ₹ 1.50

  1. View Hint View Answer Discuss in Forum

    Original price of article be x/kg.

    New price =
    9x
    /kg.
    10

    ∴ 
    225
    225
    = 25
    9x/10x

    ⇒ 
    225 × 10
    225
    = 25
    9xx

    ⇒ 
    250
    225
    = 25
    xx

    ⇒ 
    25
    = 25 ⇒ x = ₹ 1/kg.
    x

    Correct Option: B

    Original price of article be x/kg.

    New price =
    9x
    /kg.
    10

    ∴ 
    225
    225
    = 25
    9x/10x

    ⇒ 
    225 × 10
    225
    = 25
    9xx

    ⇒ 
    250
    225
    = 25
    xx

    ⇒ 
    25
    = 25 ⇒ x = ₹ 1/kg.
    x