Question

A piece of cloth cost 30rupees. if the piece were 4m longer and each metre costs 1rupee less ,the cost would remain unchanged.how long is the piece?​

Answer 1

Answer:

A piece of cloth costs Rs. 35. If the piece were 4 m longer and each metre costs Re. 1 less, the cost would remain unchanged. The length of the piece is -------m

⇒ Let the length of the piece be xm

⇒ Cost price of cloth =Rs.35

⇒ Cost price of 1m cloth =Rs.

x

35

According to the question,

⇒ (x+4)(

x

35

−1)=35

⇒ 35−x+

x

140

−4=35

⇒ 35x−x

2

+140−4x=35x

⇒ x

2

+4x−140=0

⇒ x

2

+14x−10x−140=0

⇒ x(x+14)−10(x+14)=0

⇒ (x+14)(x−10)=0

⇒ x+14=0 and x−10=0

∴ x=−14 and x=10

Length cannot be negative.

∴ The length of the piece is 10m

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