Discount


  1. The Banker’s discount on a bill due 6 months hence at 16% per annum is ₹ 216. The true
    discount is :
    1. ₹ 212
    2. ₹ 180
    3. ₹ 210
    4. ₹ 200

  1. View Hint View Answer Discuss in Forum

    True discount =
    Banker’s discount × 100
    100 + Rate × Time

    =
    216 × 100
    100 + 16 ×
    6
    12

    =
    216 × 100
    = ₹ 200
    108

    Correct Option: D

    True discount =
    Banker’s discount × 100
    100 + Rate × Time

    =
    216 × 100
    100 + 16 ×
    6
    12

    =
    216 × 100
    = ₹ 200
    108


  1. A fan is listed at ₹ 1,400 and the discount offered is 10%. What additional discount must be given to bring the net selling price to ₹ 1,200 ?
    1. 16
      2
      %
      3
    2. 5%
    3. 4
      16
      %
      21
    4. 6%

  1. View Hint View Answer Discuss in Forum

    Marked price of the fan = ₹ 1400
    SP after allowing a discount of 10% = 90% of 1400

    =
    1400 × 90
    = ₹ 1260
    100

    Second discount = ₹ (1260 – 1200 ) = ₹ 60
    Let the second discount be x%.
    ∴  x% of 1260 = 60
    ⇒ x =
    60 × 100
    =
    100
    = 4
    16
    %
    12602121

    Correct Option: C

    Marked price of the fan = ₹ 1400
    SP after allowing a discount of 10% = 90% of 1400

    =
    1400 × 90
    = ₹ 1260
    100

    Second discount = ₹ (1260 – 1200 ) = ₹ 60
    Let the second discount be x%.
    ∴  x% of 1260 = 60
    ⇒ x =
    60 × 100
    =
    100
    = 4
    16
    %
    12602121



  1. Ramesh bought 10 cycles for ₹ 500 each. He spent ₹ 2,000 on the repair of all cycles. He sold five of them for ₹ 750 each and the remaining for ₹ 550 each. Then the total gain or loss % is
    1. Gain of 8
      1
      %
      3
    2. Loss of 8
      1
      %
      3
    3. Gain of 7
      2
      %
      3
    4. Loss of 7
      1
      %
      7

  1. View Hint View Answer Discuss in Forum

    Total actual C.P.
    = ₹ (500 × 10 + 2000) = ₹ 7000
    Total S.P.
    = ₹ (5 × 750 + 5× 550)
    = ₹ (3750 + 2750) = ₹ 6500
    Loss = 7000 – 6500 = ₹ 500

    Loss percent =
    500
    × 100 =
    50
    = 7
    1
    %
    700077

    Correct Option: D

    Total actual C.P.
    = ₹ (500 × 10 + 2000) = ₹ 7000
    Total S.P.
    = ₹ (5 × 750 + 5× 550)
    = ₹ (3750 + 2750) = ₹ 6500
    Loss = 7000 – 6500 = ₹ 500

    Loss percent =
    500
    × 100 =
    50
    = 7
    1
    %
    700077


  1. During a month-long annual sale, a shopkeeper sells his goods at a discount of 50%. But in the last week, he offers an additional discount of 40%. If the original price of a shirt is ₹ x, then the price, (in rupees) during the last week of the sale will be
    1. 90% of x
    2. 70% of x
    3. 30% of x
    4. 10% of x

  1. View Hint View Answer Discuss in Forum

    Single equivalent discount =50 + 40 −
    50 × 40
    % = 70%
    100

    ∴  Required price of shirt = 30% of x

    Correct Option: C

    Single equivalent discount =50 + 40 −
    50 × 40
    % = 70%
    100

    ∴  Required price of shirt = 30% of x



  1. With a 5 % discount on the cost of sugar, a buyer could purchase 2 kg more sugar for ₹ 608. Selling price of sugar is :
    1. ₹ 15.50
    2. ₹ 15
    3. ₹ 16.50
    4. ₹ 16

  1. View Hint View Answer Discuss in Forum

    Let the original S.P. of sugar be x per kg.

    S.P. after discount = ₹
    95x
    per kg
    100

    = ₹
    19x
    per kg
    20

    ∴ 
    608
    608
    = 2
    19x/20x

    ⇒  608
    20
    1
    = 2
    19xx

    ⇒ 
    608
    = 2 ⇒ x =
    608
    = ₹ 16
    19x19 × 2
    Let the original S.P. of sugar be x per kg.
    S.P. after discount = ₹
    95x
    per kg
    100

    = ₹
    19x
    per kg
    20

    ∴ 
    608
    608
    = 2
    19x/20x

    ⇒  608
    20
    1
    = 2
    19xx

    ⇒ 
    608
    = 2 ⇒ x =
    608
    = ₹ 16
    19x19 × 2

    Correct Option: D

    Let the original S.P. of sugar be x per kg.

    S.P. after discount = ₹
    95x
    per kg
    100

    = ₹
    19x
    per kg
    20

    ∴ 
    608
    608
    = 2
    19x/20x

    ⇒  608
    20
    1
    = 2
    19xx

    ⇒ 
    608
    = 2 ⇒ x =
    608
    = ₹ 16
    19x19 × 2