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Question

A piece of cloth costs INR 35. If the piece were 4m longer and each metre costs INR 1 less, the cost would remain unchanged. How long is the piece?

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Solution

Let the length of cloth be x

Therefore xost of 1m cloth =35x

Now 35x1=35x+4

35x1=35x+4

35xx=35x+4

35(x+4)x24x=35x
140x24x=0

x2+4x140=0

(x10)(x+14)=0

x=10,x14

Therefore, Length of piece =10m


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