Discount


  1. A man allows a discount of 10% on a book whose marked price is Rs. 40. What is the cost price so that the profit is 20%?
    1. Rs. 35
    2. Rs. 40
    3. Rs. 30
    4. Rs. 45

  1. View Hint View Answer Discuss in Forum

    Given that , marked price = Rs. 40 , discount = 10% , profit = 20%
    Let C.P. of article = Rs. y
    According to question ,

    y ×
    120
    =
    40 × 90
    100100

    ⇒ y =
    40 × 90
    = Rs. 30
    120

    We can find required answer with the help of given formula :
    Here, D = 10%, r = 20%, M.P. = Rs. 40, C.P. = ?
    M.P.
    =
    100 + r
    C.P.100 − D

    Correct Option: C

    Given that , marked price = Rs. 40 , discount = 10% , profit = 20%
    Let C.P. of article = Rs. y
    According to question ,

    y ×
    120
    =
    40 × 90
    100100

    ⇒ y =
    40 × 90
    = Rs. 30
    120

    We can find required answer with the help of given formula :
    Here, D = 10%, r = 20%, M.P. = Rs. 40, C.P. = ?
    M.P.
    =
    100 + r
    C.P.100 − D

    40
    =
    100 + 20
    C.P.100 − 10

    C.P. =
    40 × 90
    = Rs. 30
    120


  1. A store offers a variety of discounts that range between 20% and 25% inclusive. If a book is discounted to a price of ₹ 270, then its greatest possible original price was
    1. ₹ 345.5
    2. ₹ 324
    3. ₹ 360
    4. ₹ 337.5

  1. View Hint View Answer Discuss in Forum

    As we can say that Greatest possible original price will be when discount be maximum
    Here , we are taking maximum discount = 25%
    If the price be Rs. y, then

    75
    of y = 270
    100

    Correct Option: C

    As we can say that Greatest possible original price will be when discount be maximum
    Here , we are taking maximum discount = 25%
    If the price be Rs. y, then

    75
    of y = 270
    100

    ⇒  y =
    270 × 100
    = Rs. 360
    75



  1. A merchant offers 8% discount on all his goods and still makes a profit of 15%. If an item is marked ₹ 250, then its cost price is
    1. ₹ 180
    2. ₹ 200
    3. ₹ 230
    4. ₹ 187

  1. View Hint View Answer Discuss in Forum

    Given that , marked price = ₹ 250 , discount = 8% ,
    profit = 15%
    Let C.P. of article = y
    According to question,

    92% of marked price =
    115
    × C.P.
    100

    ∴ 
    250 × 92
    =
    115y
    100100

    ⇒  115y = 250 × 92
    ⇒  y =
    250 × 92
    = ₹ 200
    115

    Second method to solve this question :
    Here, r = 15%, D = 8%, M.P. = ₹ 250, C.P. = ?
    Using the given formula ,
    M.P.
    =
    100 + r
    C.P.100 − D

    Correct Option: B

    Given that , marked price = ₹ 250 , discount = 8% ,
    profit = 15%
    Let C.P. of article = y
    According to question,

    92% of marked price =
    115
    × C.P.
    100

    ∴ 
    250 × 92
    =
    115y
    100100

    ⇒  115y = 250 × 92
    ⇒  y =
    250 × 92
    = ₹ 200
    115

    Second method to solve this question :
    Here, r = 15%, D = 8%, M.P. = ₹ 250, C.P. = ?
    Using the given formula ,
    M.P.
    =
    100 + r
    C.P.100 − D

    250
    =
    100 + 15
    C.P.100 − 8

    C.P. =
    250 × 92
    = ₹ 200
    115


  1. The marked price of a saree is Rs. 200. After allowing a discount of 20% on the marked price, the shopkeeper makes a profit of Rs. 16. Find the gain percent.
    1. 11
      1
      %
      9
    2. 9
      1
      %
      11
    3. 11%
    4. 8%

  1. View Hint View Answer Discuss in Forum

    Given Here , marked price of a saree = Rs. 200
    S.P. of saree = (100 – 20)% of 200
    S.P. of saree = 80% of 200

    S.P. of saree =
    200 × 80
    = ₹ 160
    100

    profit = Rs. 16
    ∴  C.P. of saree = 160 – 16 = ₹ 144
    ∴  Profit percent =
    16
    × 100
    144

    Correct Option: A

    Given Here , marked price of a saree = Rs. 200
    S.P. of saree = (100 – 20)% of 200
    S.P. of saree = 80% of 200

    S.P. of saree =
    200 × 80
    = ₹ 160
    100

    profit = Rs. 16
    ∴  C.P. of saree = 160 – 16 = ₹ 144
    ∴  Profit percent =
    16
    × 100
    144

    Profit percent =
    100
    = 11
    1
    %
    99



  1. After allowing 10% discount, a dealer wishes to sell a machine for ₹ 2,700. At what price must the machine be marked ?
    1. ₹ 270
    2. ₹ 3,000
    3. ₹ 2,970
    4. ₹ 2,430

  1. View Hint View Answer Discuss in Forum

    Given that , SP of machine = ₹ 2,700 , discount = 10%
    Let the marked price be ₹ y.

    ∴  y ×
    90
    = 2700
    100

    Correct Option: B

    Given that , SP of machine = ₹ 2,700 , discount = 10%
    Let the marked price be ₹ y.

    ∴  y ×
    90
    = 2700
    100

    ⇒  y =
    2700 × 100
    = ₹ 3000
    90

    Hence , marked price be ₹ 3000.