Question
Sun November 18, 2012 By:
 

a piece of cloth costs rs 200.if the piece were 5m longer and each metre of cloth costed rs 2 less the cost of the piece would have remained unchanged.how long is the piece and what is he original rate per metre?

Expert Reply
Sun November 18, 2012

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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