Question

6. At a book stall, a discount of x% was allowed on each book. A book was purchased by a customer for Rs y, its marked price was :
(A) Rs. 100y/(100 - x)
(B) Rs. 100y/(100 + x)
(C) Rs. (100y/x)
(D) Rs. xy

Answer 1

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Let P be the market price

Then discount

$=( P \: \times \frac{x}{100} )$

So the customer has to pay

$= P \: - \frac{Px}{100}$

So

$y = P \: - \frac{Px}{100}$

$\implies \: y \: = P(1 \: - \frac{x}{100} )$

$\implies \: y \: = P \times \frac{(100 - x \: )}{100}$

$\implies \: P \: = \frac{100y}{100 - x}$

So the required market price =

$\frac{100y}{100 - x}$

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