Discount


  1. Rahim bought a T.V. with 20% discount on list price. Had he bought it with 25% discount he would have saved ₹ 500. At what price did he buy the T.V?
    1. ₹ 16,000
    2. ₹ 12,000
    3. ₹ 10,000
    4. ₹ 8,000

  1. View Hint View Answer Discuss in Forum

    Here , discount = 20% , saved money = ₹ 500 , discount = 25% ,
    If the marked price of T.V. be y, then,
    According to question,
    ∴ ( 25 - 20 )% of y = ₹ 500
    ⇒ 5% of y = ₹ 500

    y × 5
    = 500
    100

    ⇒  y =
    500 × 100
    = ₹ 10000
    5

    Correct Option: D

    Here , discount = 20% , saved money = ₹ 500 , discount = 25% ,
    If the marked price of T.V. be y, then,
    According to question,
    ∴ ( 25 - 20 )% of y = ₹ 500
    ⇒ 5% of y = ₹ 500

    y × 5
    = 500
    100

    ⇒  y =
    500 × 100
    = ₹ 10000
    5

    ∴  Initial S.P. of T.V. =
    10000 × 80
    = ₹ 8000
    100


  1. A discount of 24% on the marked price of an article is allowed and then the article is sold for ₹ 342. The marked price of the article is
    1. ₹ 500
    2. ₹ 490
    3. ₹ 450
    4. ₹ 430

  1. View Hint View Answer Discuss in Forum

    Given Here , SP of article = ₹ 342 , discount = 24%
    If the marked price of article be y, then

    y × 76
    = 342
    100

    ⇒  y =
    342 × 100
    = ₹ 450
    76

    We can find the required answer with the help of given formula :
    Here, D = 24%, S.P. = ₹ 342, M.P. = ?
    Using the given formula ,
    M.P. =
    S.P. × 100
    100 − D

    Correct Option: C

    Given Here , SP of article = ₹ 342 , discount = 24%
    If the marked price of article be y, then

    y × 76
    = 342
    100

    ⇒  y =
    342 × 100
    = ₹ 450
    76

    We can find the required answer with the help of given formula :
    Here, D = 24%, S.P. = ₹ 342, M.P. = ?
    Using the given formula ,
    M.P. =
    S.P. × 100
    100 − D

    M.P. =
    342 × 100
    =
    34200
    = ₹ 450
    100 − 2476



  1. When a shopkeeper gives 10% discount on the list price of a toy, his gain is 20%. If he had given a discount of 20%, his percentage of gain would have been
    1. 6
      2
      %
      3
    2. 8
      1
      %
      3
    3. 10%
    4. 15%

  1. View Hint View Answer Discuss in Forum

    Given that , discount = 10% , gain = 20%
    Let the cost price of toy be ₹ 100 and the marked price be y.

    ∴ 
    y × 90
    = 120
    100

    ⇒  y =
    120 × 100
    = ₹
    400
    903

    S.P. after a discount of 20% = 80% of
    400
    3

    S.P. after a discount of 20% =
    400 × 80
    =
    320
    = 106
    2
    30033

    Correct Option: A

    Given that , discount = 10% , gain = 20%
    Let the cost price of toy be ₹ 100 and the marked price be y.

    ∴ 
    y × 90
    = 120
    100

    ⇒  y =
    120 × 100
    = ₹
    400
    903

    S.P. after a discount of 20% = 80% of
    400
    3

    S.P. after a discount of 20% =
    400 × 80
    =
    320
    = 106
    2
    30033

    ∴ Profit = SP - CP = 106
    2
    − 100 = ₹ 6
    2
    33

    ∴ Profit percent =
    ( 320 / 3 )
    × 100 = 106
    2
    %
    1003


  1. A shopkeeper sells his goods at 15% discount. The marked price of an article whose selling price is ₹ 629 is :
    1. ₹ 740
    2. ₹ 704
    3. ₹ 700
    4. ₹ 614

  1. View Hint View Answer Discuss in Forum

    Here , selling price = ₹ 629 , 15% discount
    Let the marked price be y.

    ∴ 
    y × 85
    = 629
    100

    ⇒  y =
    629 × 100
    = ₹ 740
    85

    Second method to solve this question :
    M.P. = ? , S.P. = ₹ 629, D = 15%
    Using the given formula ,
    M.P. =
    S.P. × 100
    100 − D

    Correct Option: A

    Here , selling price = ₹ 629 , 15% discount
    Let the marked price be y.

    ∴ 
    y × 85
    = 629
    100

    ⇒  y =
    629 × 100
    = ₹ 740
    85

    Second method to solve this question :
    M.P. = ? , S.P. = ₹ 629, D = 15%
    Using the given formula ,
    M.P. =
    S.P. × 100
    100 − D

    M.P. =
    629 × 100
    100 − 15

    M.P. =
    62900
    = ₹ 740
    85



  1. A shopkeeper allows 4% discount on his marked price. If the cost price of an article is ₹ 100 and he has to make a profit of 20%, then his marked price must be
    1. ₹ 96
    2. ₹ 120
    3. ₹ 125
    4. ₹ 130

  1. View Hint View Answer Discuss in Forum

    Here , discount = 4% , profit = 20%
    cost price of an article = ₹ 100
    Let the marked price of the article be y
    According to the question,
    96% of y = 120% of 100

    ⇒  y ×
    96
    =
    100 × 120
    100100

    ⇒  y =
    100 × 120
    = ₹ 125
    100

    We can find the required answer with the help of given formula :
    Here, r = 20%, D = 4%, C.P. = ₹ 100, M.P. = ?
    M.P.
    =
    100 + r
    C.P.100 − D

    Correct Option: C

    Here , discount = 4% , profit = 20%
    cost price of an article = ₹ 100
    Let the marked price of the article be y
    According to the question,
    96% of y = 120% of 100

    ⇒  y ×
    96
    =
    100 × 120
    100100

    ⇒  y =
    100 × 120
    = ₹ 125
    100

    We can find the required answer with the help of given formula :
    Here, r = 20%, D = 4%, C.P. = ₹ 100, M.P. = ?
    M.P.
    =
    100 + r
    C.P.100 − D

    M.P.
    =
    100 + 20
    100100 − 4

    M.P. =
    120 × 100
    96

    M.P. =
    1000
    = ₹ 125
    8