Question

a man sold a book at a loss of 20% if he had sold the book for 12 rupees more he would have gained 10% find the cost price of the book ​

Answer 1

Given:

A man sold a book at a loss of 20%

If he had sold the book for Rs. 12 more then he would have gained 10%

To find:

The cost price of the book

Solution:

Let "x" represent the cost price of the book.

The formula used to calculate the S.P. is as follows:

$\boxed{\bold{S.P. = \frac{100+G \% }{100} }\times C.P.}\\\\\boxed{\bold{S.P. = \frac{100-L \% }{100} }\times C.P.}$

So, by using the formula, we get

The S.P. of the book = $\frac{100 - 20}{100} \times x = \frac{80}{100} \times x = 0.8x$

Now, if the man had sold the book for Rs. 12 more then he would have made a profit of 10%, so accordingly we can form an equation as,

$0.8x + 12 = \frac{100+10}{100} \times x$

$\implies 0.8x + 12 = \frac{110}{100} \times x$

$\implies 0.8x + 12 = 1.1 x$

$\implies 12 = 1.1 x - 0.8x$

$\implies 0.3x = 12$

$\implies x = \frac{12}{0.3}$

$\implies \bold{x = 40}$

Thus, the cost price of the book is Rs. 40.

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Answer 2

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