Discount


  1. A reduction of 20% in the price of rice enables a customer to purchase 12.5 kg more for ₹ 800. The original price of rice (per kg) is
    1. ₹ 14
    2. ₹ 16
    3. ₹ 12
    4. ₹ 15

  1. View Hint View Answer Discuss in Forum

    Let original price of rice = x /kg

    New price =
    4x
    per kg
    5

    ∴ 
    800
    800
    = 12.5
    4x/5x

    ⇒  800
    5
    1
    = 12.5
    4xx

    ⇒  800
    5 − 4
    = 12.5
    4x

    ⇒ 
    800
    = 12.5
    4x

    ⇒  x =
    200
    = ₹ 16/kg
    12.5

    Correct Option: B

    Let original price of rice = x /kg

    New price =
    4x
    per kg
    5

    ∴ 
    800
    800
    = 12.5
    4x/5x

    ⇒  800
    5
    1
    = 12.5
    4xx

    ⇒  800
    5 − 4
    = 12.5
    4x

    ⇒ 
    800
    = 12.5
    4x

    ⇒  x =
    200
    = ₹ 16/kg
    12.5


  1. A mobile phone is listed at ₹ 1,500 and a discount of 10% is offered on the list price. What additional discount must be offered to the customer now to bring the net price to ₹ 1,242?
    1. 10%
    2. 8%
    3. 12%
    4. 18%

  1. View Hint View Answer Discuss in Forum

    Price after discount of 10%
    =
    1500 × 90
    = ₹ 1350
    100

    Second discount
    = 1350 – 1242 = ₹ 108
    If the rate of second discount be x% then,
    1350 × x
    = 108
    100

    ⇒  x =
    108 × 100
    = 8%
    1350

    Correct Option: B

    Price after discount of 10%
    =
    1500 × 90
    = ₹ 1350
    100

    Second discount
    = 1350 – 1242 = ₹ 108
    If the rate of second discount be x% then,
    1350 × x
    = 108
    100

    ⇒  x =
    108 × 100
    = 8%
    1350



  1. The interest on a certain sum of money is ₹ 22 and the true discount on the same sum for the same time and at the same rate is ₹ 20, Find the sum.
    1. ₹ 220
    2. ₹ 200
    3. ₹ 210
    4. ₹ 212

  1. View Hint View Answer Discuss in Forum

    Sum =
    S.I. × True discount
    S.I. − True discount

    =
    22 × 20
    = ₹ 220
    22 − 20

    Correct Option: A

    Sum =
    S.I. × True discount
    S.I. − True discount

    =
    22 × 20
    = ₹ 220
    22 − 20


  1. A shop offers 10% discount on every purchase of an article. It also offers an additional discount of 12%, if the payment is made in cash. If the original price of an item is ₹ 250, how much a customer will pay, if he wants to pay the price in cash?
    1. ₹ 180
    2. ₹ 192
    3. ₹ 198
    4. ₹ 195

  1. View Hint View Answer Discuss in Forum

    Required S.P. = 250 ×
    90
    ×
    88
    = ₹ 198
    100100

    Correct Option: C

    Required S.P. = 250 ×
    90
    ×
    88
    = ₹ 198
    100100



  1. The cost of manufacture of a tape recorder is ₹ 1,500. The manufacturer fixes the marked price 20% above the cost of manufacture and allows a discount in such a way as to get a profit of 8%. The rate of discount is
    1. 12%
    2. 8%
    3. 20%
    4. 10%

  1. View Hint View Answer Discuss in Forum

    Marked price of tape recorder =
    1500 × 120
    = ₹ 1800
    100

    Gain =
    1500 × 8
    = ₹ 120
    100

    Discount = 1800 – (1500 + 120) = ₹ 180
    Let Discount percent = d%, then
    1800 × d
    = 180 ⇒ d = 10%
    100

    Second Method to solve this question :
    If the discount be y%, then
    20 − y −
    20y
    = 8
    100

    ⇒  20 −
    6y
    = 8
    5

    Correct Option: D

    Marked price of tape recorder =
    1500 × 120
    = ₹ 1800
    100

    Gain =
    1500 × 8
    = ₹ 120
    100

    Discount = 1800 – (1500 + 120) = ₹ 180
    Let Discount percent = d%, then
    1800 × d
    = 180 ⇒ d = 10%
    100

    Second Method to solve this question :
    If the discount be y%, then
    20 − y −
    20y
    = 8
    100

    ⇒  20 −
    6y
    = 8
    5

    ⇒ 
    6y
    = 20 − 8 = 12
    5

    ⇒  y =
    12 × 5
    = 10%
    6