Question

4. A piece of cloth costs Re 200. If the fire were smlonger and each meter of cloth cost Rs aless, the cost of piece would have remained unchanged. is puce and what is original sote play metest How long​

Answer 1

Answer:

let the length of the cloth be x and cost of cloth per m be y then,

x * y = 200

so, y = 200/x .... (1)

now, If the piece were 5m longer, and each metre of cloth costed Rs 2 less, then,

(x+5)(y-2) = 200. xy-2x + 5y-10 = 200

putting the value of (1), we get, 1000/x-2x = 200-190

1000-2x² = 10x

500 -x² = 5x

x²+5x - 500 = 0

(x-20) (x+25) = 0

so, x= 20 (neglecting x= -25)

so, y = 200/x = 200/20 = 10

Hence, the length of the piece of cloth is 20 m and rate per metre is Rs 10.

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Answer 2

Answer:

This is your answer

Step-by-step explanation:

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