Question

A piece of cloth costs Rs. 35. If the piece were 4 m longer and each meter costs Rs. one less, the cost would remain unchanged. How long is the piece?

Answer 1

Let the length of the piece be x metres.

Then, rate per metre

According to question, new length.

Since the cost remain same. Therefore, new rate per metre

It is given that

Because x cannot be negative.

Thus, is the require solution.

Therefore, the length of the piece be