Question

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

Answer 1

Step-by-step explanation:

HEY MATE ..

⇒

⇒ 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(x+14)−10(x+14)=0

⇒ x(x+14)−10(x+14)=0

⇒ (x+14)(x−10)=0

⇒ x+14=0 and x−10=0

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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Answer 2

$\huge\mathcal\red{Solution:}$

$\implies$Let the length of the piece be x

$\implies$Cost of price = Rs.35

$\implies$Then, price per metre = Rs. 35x

$\implies$Therefore, (x+4)(35x−1)=35

=> x = 10 rn