# word Problem 10

**Problem 10: A man sold his watch at loss of 5%. He had sold it for Rs 56.25 more he would have gained 10%. Find the cost price of the watch.**

**a. Rs 300 b. Rs 375 c.Rs 400 d. Rs 200**

**Solution:**

We suppose cost price as ‘y’

Loss was 5% of CP

But fromula for loss is

So his sale price was 19y/20

Now come to the situation as wished in the question

If had he sold it with more 56.25 Rs then sale price would have been 19y/20+56.25 Rs

i-e

Wished sale price;

and in this case he would have earned profit of 10% of his CP

Wished profit;

But formula for profit is

**So, the cost price for the watch is Rs 375**