Discount


  1. A shopkeeper lists the price of an article as ₹ 500. But he gives a certain discount which allows the buyer to pay ₹ 500 for the article including 10% sales tax. The rate of discount is
    1. 10%
    2. 10
      1
      %
      11
    3. 9
      1
      %
      11
    4. 11%

  1. View Hint View Answer Discuss in Forum

    Let the S.P. be x (without tax).

    ∴  x + x ×
    10
    = 500
    100

    ⇒ 
    11x
    = 500 ⇒ x = ₹
    5000
    1011

    ∴  Discount = 500 −
    5000
    11

    =
    500
    11

    Discount per cent =
    500
    × 100
    11 × 500

    =
    100
    % or 9
    1
    %
    1111

    Correct Option: C

    Let the S.P. be x (without tax).

    ∴  x + x ×
    10
    = 500
    100

    ⇒ 
    11x
    = 500 ⇒ x = ₹
    5000
    1011

    ∴  Discount = 500 −
    5000
    11

    =
    500
    11

    Discount per cent =
    500
    × 100
    11 × 500

    =
    100
    % or 9
    1
    %
    1111


  1. The true discount on a sum of money due 2 years hence at 5% is ₹ 15. Find the sum.
    1. ₹ 150
    2. ₹ 165
    3. ₹ 170
    4. ₹ 160

  1. View Hint View Answer Discuss in Forum

    True discount
    =
    Amount × R × T
    100 + (R × T)

    ⇒  15 =
    A × 5 × 2
    100 + 10

    ⇒  A = 11 × 15 = ₹ 165

    Correct Option: B

    True discount
    =
    Amount × R × T
    100 + (R × T)

    ⇒  15 =
    A × 5 × 2
    100 + 10

    ⇒  A = 11 × 15 = ₹ 165



  1. If an electricity bill is paid before due date, one gets a reduction of 4% on the amount of the bill. By paying the bill before due date a person got a reduction of ₹ 13. The amount of his electricity bill was
    1. ₹ 125
    2. ₹ 225
    3. ₹ 325
    4. ₹ 425

  1. View Hint View Answer Discuss in Forum

    Let the amount of the bill be x.

    ∴ 
    4x
    = 13
    100

    ⇒  x =
    1300
    = ₹ 325
    4

    Correct Option: C

    Let the amount of the bill be x.

    ∴ 
    4x
    = 13
    100

    ⇒  x =
    1300
    = ₹ 325
    4


  1. A dozen pair of socks quoted at ₹ 80 are available at a discount of 10%. How many pairs of socks can be bought for ₹ 24 ?
    1. 4
    2. 5
    3. 3
    4. 6

  1. View Hint View Answer Discuss in Forum

    SP of 12 pairs of socks = 90% of 80

    =
    80 × 90
    = Rs.72 = ₹ 72
    100

    ∴  Number of pairs bought for ₹ 24
    =
    12 × 24
    = 4
    72

    Correct Option: A

    SP of 12 pairs of socks = 90% of 80

    =
    80 × 90
    = Rs.72 = ₹ 72
    100

    ∴  Number of pairs bought for ₹ 24
    =
    12 × 24
    = 4
    72



  1. A retailer purchases a grinder at a discount of 15% and sells it for ₹ 1955 at a profit of 15%. The amount of discount received by the retailer from the wholesaler was
    1. ₹ 270
    2. ₹ 290
    3. ₹ 300
    4. ₹ 330

  1. View Hint View Answer Discuss in Forum

    Let the marked price of the grinder be ₹ 100
    SP after a discount of 15% = ₹ 85

    SP to gain 15% =
    85 × 115
    = ₹ 97.75
    100

    If ₹ 97.75 is the SP, the marked price = ₹ 100
    ∴  If ₹ 1955 is the SP,
    the marked price =
    100
    = × 1955 = ₹ 2000
    97.5

    Amount of discount received by the retailer = 15% of 2000
    =
    2000 × 15
    = ₹ 300
    100

    Correct Option: C

    Let the marked price of the grinder be ₹ 100
    SP after a discount of 15% = ₹ 85

    SP to gain 15% =
    85 × 115
    = ₹ 97.75
    100

    If ₹ 97.75 is the SP, the marked price = ₹ 100
    ∴  If ₹ 1955 is the SP,
    the marked price =
    100
    = × 1955 = ₹ 2000
    97.5

    Amount of discount received by the retailer = 15% of 2000
    =
    2000 × 15
    = ₹ 300
    100