Question

A piece of cloth costs Rs. 200. If the piece were 5mts longer and each meter of cloth costed Rs. 2 less, the cost of piece would have remained unchanged. How long is the piece and what is its original rate per meter.

Answer 1

Let x be the length of the cloth, its cost = 200

∴ Rate of cloth per meter = 200/x

Increased length of piece of cloth = (x + 5) mts

Now rate of cloth per meter = 200/(21 + 5)

By date, old rate cloth – new rate of cloth = Rs 2.

⇒ x2 + 5x – 500 = 0

⇒ x2 + 25x – 20x – 500 = 0

⇒ x(x + 25) – 20(x + 25) = 0

⇒ x = 20 or -25 (neglected) [∴ x = 20mts]

length of cloth = 20mts, rate per metre = Rs. 10.