Discount


  1. If a discount of 20% on the marked price of a shirt saves a man Rs. 150, how much did he pay for the shirt ?
    1. ₹ 600
    2. ₹ 650
    3. ₹ 500
    4. ₹ 620

  1. View Hint View Answer Discuss in Forum

    Given Here , discount = 20% and Saved money = Rs. 150
    Let the marked price of the shirt be Rs. y.
    According to the question,

    y ×
    20
    = 150
    100

    Correct Option: A

    Given Here , discount = 20% and Saved money = Rs. 150
    Let the marked price of the shirt be Rs. y.
    According to the question,

    y ×
    20
    = 150
    100

    ⇒  y =
    150 × 100
    = 750
    20

    ∴  Price paid = ₹ (750 – 150) = ₹ 600


  1. A trader marked the price of his commodity so as to include a profit of 25%. He allowed discount of 16% on the marked price. His actual profit was :
    1. 5%
    2. 9%
    3. 16%
    4. 25%

  1. View Hint View Answer Discuss in Forum

    Here , profit = 25%
    Let the C.P. be ₹ 100
    ∴  Marked price = ₹ 125
    S.P. = ( 100 - 16 )% of 125

    S.P. = 84% of 125 =
    84 × 125
    = ₹ 105
    100

    Correct Option: A

    Here , profit = 25%
    Let the C.P. be ₹ 100
    ∴  Marked price = ₹ 125
    S.P. = ( 100 - 16 )% of 125

    S.P. = 84% of 125 =
    84 × 125
    = ₹ 105
    100

    ∴  Profit = ₹ (105 – 100) = ₹ 5
    ∴ Profit percent =
    5
    × 100 = 5%
    100



  1. A sells a scooter priced ₹ 36,000. He gives a discount of 8% on the first ₹ 20,000 and 5% on the next ₹ 10,000. How much discount can he offered on the remaining ₹ 6,000 if he is to get as much as when 7% discount is allowed on the total ?
    1. 5%
    2. 6%
    3. 7%
    4. 8%

  1. View Hint View Answer Discuss in Forum

    As per the given in question ,
    SP of scooter = ₹ 36,000 , discount = 7%

    Discount on ₹ 36000 =
    36000 × 7
    = ₹ 2520
    100

    Discount on first ₹ 20,000 =
    20,000 × 8
    = ₹ 1600
    100

    Discount on next ₹ 10,000 =
    10,000 × 5
    = ₹ 500
    100

    ∴  Discount on remaining ₹ 6,000 = 2520 – (1600 + 500) = ₹ 420

    Correct Option: C

    As per the given in question ,
    SP of scooter = ₹ 36,000 , discount = 7%

    Discount on ₹ 36000 =
    36000 × 7
    = ₹ 2520
    100

    Discount on first ₹ 20,000 =
    20,000 × 8
    = ₹ 1600
    100

    Discount on next ₹ 10,000 =
    10,000 × 5
    = ₹ 500
    100

    ∴  Discount on remaining ₹ 6,000 = 2520 – (1600 + 500) = ₹ 420
    ∴  Required percent =
    420 × 100
    = 7%
    6000


  1. A tradesman gives 4% discount on the marked price and gives 1 article free for buying every 15 articles and thus gains 35%. The marked price is increased above the cost price by
    1. 40%
    2. 39%
    3. 50%
    4. 20%

  1. View Hint View Answer Discuss in Forum

    Let the C.P. of each article be ₹ 1
    For 15 books, the tradesman gives 1 book free.
    ∴   C.P. of 15 books = ₹ 16
    gains = 35%

    ∴   S.P. of 15 books = 16 ×
    135
    = ₹
    108
    1005

    ∴   S.P. of 15 book =
    108
    = ₹
    36
    5 × 1525

    Now, 96% of marked price =
    36
    25

    Correct Option: C

    Let the C.P. of each article be ₹ 1
    For 15 books, the tradesman gives 1 book free.
    ∴   C.P. of 15 books = ₹ 16
    gains = 35%

    ∴   S.P. of 15 books = 16 ×
    135
    = ₹
    108
    1005

    ∴   S.P. of 15 book =
    108
    = ₹
    36
    5 × 1525

    Now, 96% of marked price =
    36
    25

    ∴   Marked price =
    36 × 100
    =
    3
    = ₹ 1.5
    25 × 962

    Total increase = 1.5 - 1 = ₹ 0.5
    ∴ The required % increase =
    0.5
    × 100 = 50%
    1



  1. A shopkeeper sells his goods at 10% discount on the marked price. What price should he mark on an article that costs him ₹ 900 to gain 10% ?
    1. ₹ 1275
    2. ₹ 1250
    3. ₹ 1175
    4. ₹ 1100

  1. View Hint View Answer Discuss in Forum

    Given that , C.P. of article = ₹ 900
    Gain = 10%

    ∴  S.P. = ₹
    110
    × 900= ₹ 990
    100

    discount = 10%
    Let the marked price be y.
    ∴ 
    90
    y = 990
    100

    ∴ y =
    990 × 100
    = ₹ 1100
    90

    Second method to solve this question :
    Here, D = 10%, C.P. = ₹ 900, R = 10%, M.P. = ?
    Using the given formula ,
    M.P.
    =
    100 + r
    C.P.100 − D

    Correct Option: D

    Given that , C.P. of article = ₹ 900
    Gain = 10%

    ∴  S.P. = ₹
    110
    × 900= ₹ 990
    100

    discount = 10%
    Let the marked price be y.
    ∴ 
    90
    y = 990
    100

    ∴ y =
    990 × 100
    = ₹ 1100
    90

    Second method to solve this question :
    Here, D = 10%, C.P. = ₹ 900, R = 10%, M.P. = ?
    Using the given formula ,
    M.P.
    =
    100 + r
    C.P.100 − D

    M.P.
    =
    100 + 10
    900100 − 10

    M.P. =
    110
    × 900
    90

    M.P. = ₹ 1100