Discount


  1. A retailer gets a discount of 40% on the printing price of an article. The retailer sells it at the printing price. His gain percent is









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    Let the printed price of the article be ₹ 100
    Discount = 40%
    C.P. = ₹ (100 – 40) = ₹ 60
    S.P. = ₹ 100

    ∴  Gain % =
    40
    × 100
    60

    Correct Option: C

    Let the printed price of the article be ₹ 100
    Discount = 40%
    C.P. = ₹ (100 – 40) = ₹ 60
    S.P. = ₹ 100

    ∴  Gain % =
    40
    × 100
    60

    Gain % =
    200
    = 66
    2
    %
    33


  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









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    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 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%?









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    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 shopkeeper earns a profit of 12% on selling a book at 10% discount on the printed price. The ratio of the cost price to the printed price of the book is









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    Here , profit = 12% and discount = 10%
    Let the C.P. of article be Rs. p and its marked price be Rs. q.
    According to the question,
    90% of q = 112% of p
    ⇒  90 × q = 112 × p

    Correct Option: A

    Here , profit = 12% and discount = 10%
    Let the C.P. of article be Rs. p and its marked price be Rs. q.
    According to the question,
    90% of q = 112% of p
    ⇒  90 × q = 112 × p

    ⇒ 
    p
    =
    90
    = 45 : 56
    q112

    ∴ Required ratio = 45 : 56



  1. A man sold an article for Rs. 450, after allowing a discount of 16
    2
    % on
    3

    the printed price. What is that printed price ?









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    Given that , SP of article = Rs. 450
    Let the marked price of article be Rs. y.
    According to the question,

    100 -
    50
    % of y = 450
    3

    ⇒  y ×
    300 − 50
    % = 450
    3

    ⇒  y ×
    250
    = 450
    300

    Correct Option: D

    Given that , SP of article = Rs. 450
    Let the marked price of article be Rs. y.
    According to the question,

    100 -
    50
    % of y = 450
    3

    ⇒  y ×
    300 − 50
    % = 450
    3

    ⇒  y ×
    250
    = 450
    300

    ⇒  y ×
    5
    = 450
    6

    ⇒  y =
    450 × 6
    = Rs. 540
    5