Question

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

Answer 1

Answer:

If the piece were 4m longer and each metre costs Rs. one less, the cost would have remail unchanged

Step-by-step explanation:

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.