Discount


  1. The list price of a book is Rs. 100. A dealer sells three such books for Rs. 274.50 after allowing discount at a certain rate. Find the rate of discount.
    1. 8.16%
    2. 8.5%
    3. 8.34%
    4. 8.33%

  1. View Hint View Answer Discuss in Forum

    Total marked price of three books = Rs. 300
    Their S.P. = Rs. 244.50
    Discount = Rs. (300 – 274.50) = Rs. 25.50
    If the rate of discount be x%, then

    300 × x
    = 25.50
    100

    ⇒  300x = 25.50 × 100
    ⇒  x =
    25.50 × 100
    = 8.5%
    300

    Second Method :
    M.P. = Rs. 300 (for three books)
    S.P. = Rs. 274.50
    =
    M.P. − S.P.
    ×100%
    M.P.

    =
    300 − 274.50
    ×100%
    300

    25.50
    × 100 = 8.5%
    300

    Correct Option: B

    Total marked price of three books = Rs. 300
    Their S.P. = Rs. 244.50
    Discount = Rs. (300 – 274.50) = Rs. 25.50
    If the rate of discount be x%, then

    300 × x
    = 25.50
    100

    ⇒  300x = 25.50 × 100
    ⇒  x =
    25.50 × 100
    = 8.5%
    300

    Second Method :
    M.P. = Rs. 300 (for three books)
    S.P. = Rs. 274.50
    =
    M.P. − S.P.
    ×100%
    M.P.

    =
    300 − 274.50
    ×100%
    300

    25.50
    × 100 = 8.5%
    300


  1. A builder purchases 25 windows at 25% off the total price of ₹ 1,20,000. If the builder receives an additional discount of ₹ 7500 for the purchase, then the cost of each window is
    1. ₹ 3300
    2. ₹ 3100
    3. ₹ 3400
    4. ₹ 3200

  1. View Hint View Answer Discuss in Forum

    C.P. of 25 windows =
    120000 × 75
    = Rs. 90,000
    100

    After additional discount,
    C.P. for builder
    = Rs. (90000 – 7500)
    = Rs. 82500
    ∴ Cost of each window =
    82500
    = Rs. 3300
    25

    Correct Option: A

    C.P. of 25 windows =
    120000 × 75
    = Rs. 90,000
    100

    After additional discount,
    C.P. for builder
    = Rs. (90000 – 7500)
    = Rs. 82500
    ∴ Cost of each window =
    82500
    = Rs. 3300
    25



  1. The price of an antique is reduced by 20% and then this price is again reduced by 10%. The total reduction of the price is
    1. 25 %
    2. 30 %
    3. 23 %
    4. 28 %

  1. View Hint View Answer Discuss in Forum

    Percentage decrease = x + y +
    xy
    %
    100

    = − 20 − 10 +
    20 × 10
    % = −28%
    100

    Second Method :
    Here, D1 = 20%
    D2 = 10%
    Net reduction
    =
    D1 + D2
    D1D2
    %
    100

    = 20 + 10 −
    20 × 10
    %
    100

    = (30 – 2)% = 28%

    Correct Option: D

    Percentage decrease = x + y +
    xy
    %
    100

    = − 20 − 10 +
    20 × 10
    % = −28%
    100

    Second Method :
    Here, D1 = 20%
    D2 = 10%
    Net reduction
    =
    D1 + D2
    D1D2
    %
    100

    = 20 + 10 −
    20 × 10
    %
    100

    = (30 – 2)% = 28%


  1. Mr. x and Mr. y each bought the same motorcycle using a 10% off coupon. Mr. x’s cashier took 10% off the price and then added 8.5% sales tax whereas Mr. y’s cashier first added the sales tax and then took 10% off the total price. The amount Mr. x paid is
    1. less by ₹ 550 as the amount Mr. y paid
    2. same as the amount Mr. y paid
    3. greater by ₹ 85 as the amount Mr. y paid
    4. greater by ₹ 850 as the amount Mr. y paid

  1. View Hint View Answer Discuss in Forum

    Price of motor cycle = Rs. α
    (let)
    For Mr. x

    C.P. of motor cycle = Rs.
    90α
    ×
    108.5
    100100

    For Mr y
    C.P. of motor cycle = Rs.
    108.5α
    ×
    90
    100100

    Correct Option: B

    Price of motor cycle = Rs. α
    (let)
    For Mr. x

    C.P. of motor cycle = Rs.
    90α
    ×
    108.5
    100100

    For Mr y
    C.P. of motor cycle = Rs.
    108.5α
    ×
    90
    100100



  1. After allowing a discount of 10% on marked price a trader makes a profit of 15%. The ratio of the marked price to the cost price is
    1. 23 : 9
    2. 23 : 10
    3. 23 : 18
    4. 23 : 19

  1. View Hint View Answer Discuss in Forum

    Marked price = Rs. x and cost price = Rs. y (let)
    According to question,

    x × 90
    =
    y × 115
    100100

    ⇒ 
    x
    =
    115
    =
    23
    = 23 : 18
    y9018

    Correct Option: C

    Marked price = Rs. x and cost price = Rs. y (let)
    According to question,

    x × 90
    =
    y × 115
    100100

    ⇒ 
    x
    =
    115
    =
    23
    = 23 : 18
    y9018