Question

A piece of cloth costs 175. If the piece were 4 m longer and each metre costs 5 less, the cost would have remained unchanged. How long is the piece?​

Answer 1

Answer:

Let the cost of xm cost rs35

and y be the cost of 1m cloth

therefore

xy=35

y=35/x

according to the question

(x+4)(y-1)=35

(x+4)(35/x-1)=35

(x×35/x)-x+(4×35/x)-4=35

35-x+140/x-4=35

-x^2+140-4x ÷ x=35-35

-x^2+140-4x=0

x^2+4x-140=0

x^2+14x-10x-140=0

x (x+14)-10 (x+14)=0

(x-10)(x+14)=0

x=10

y=35/10=3.5

therefore 10m cloth cost Rs35

and cost of 1m cloth is Rs3.5

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