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  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
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



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