Question

a man bought two books for 250 each if he sell one at profit 5% then how much should he sell the other so that he makes profit of 20 on the whole​

Answer 1

I really hope this helps :)

Answer 2

Given: A man bought two books for 250 each and he sell one at a profit of 5%.

To find: We have to find the selling price of the other book.

Solution:

The cost price of the book is 250 rupees.

Let its selling price be x rupees.

He gains 5% on selling the book.

So, we can write-

$\frac{x - 250}{250} = \frac{5}{100} \\ \frac{x - 250}{250} = \frac{1}{20} \\ 20x - 5000 = 250 \\ 20x = 5250 \\ x = 267.50$

Thus selling first of the book is 267.50 rupees.

Now let the selling price of the other book be y rupees.

Overall, he gets a profit of 20%.

The total cost price is 500 rupees.

So, we can write-

$\frac{267.50 + y - 500}{500} = \frac{20}{100} \\ \frac{267.50 + y - 500}{500} = \frac{1}{5} \\ 1337.5 + 5y - 2500 = 500 \\ 5y =1662.5 \\ y = 332.50$

The selling price of the other book is 332.50 rupees.