Question

A. man sold. a book. at. a loss. of. 20% If he. had. sold. for. rs 12 more he. would. have. gained. 10% find. the. cost. prive of. the. book . please. send. this. answer. fastly​

Answer 1

Step-by-step explanation:

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:

s.p = 100 + gain% / 100 × c.p

s.p = 100 - loss % / 100 × c.p

Now s.p = 100 - 20 / 100 × x

= 80 / 100 × x

= 0.8 x

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

0.8x + 12 =(( 100+10)/100)×x

0.8x + 12 =(110/100)×x

12 =1.1x - 0.8x

0.3x = 12

x = 40

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