Question

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

Answer 1

Given,

The man sold the book at a loss of 20% if he had sold the book for ₹ 12 more, he would have gained 10%.

To find,

The cost price of the book.

Solution,

Let the Cost Price be ₹ x.

So, selling price at 20% loss

= x - (20% of x) = x - 20x/100 = 80x/100

And, selling price at 10% profit

= x + (10% of x) = x + 10x/100 = 110x/100

According to condition,

110x/100 - 80x/100 =  12

or, (110-80)x/100 = 12

or, 30x/100 = 12

or, 30x = 12×100

or, 30x = 1200

or, x = 1200/30

or, x = 40

So,

Cost price = ₹ 40

Hence,

The cost price of book​ is ₹ 40.