# Word Problem 15

**Problem 15: A person bought an article and sold it at a gain of 5%, Had he bought it at 5% less and sold it for Rs 1 less, he would have made a profit of 10%, Find the cost price of the article.**

**a. Rs 100 b. Rs 150 c. Rs 200 d. Rs 500**

**Solution: **

We suppose cost price = cp= Rs y

Given he earns profit of 5%

So, from there we can find sale price sp by formula

put values;

**—————now come to the situation described ————-**

Now if cp were to be 5% less then it would have been ;

and sp with Re 1 less would have been;

Then by given condition profit would have been earned 10% more of 5% less cost price, i-e

But we know

Put situational values of p, sp and cp

**So, the option c is correct answer**