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Question -

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



Answer -

Let the length of piece of cloth = x m
Total cost = Rs. 35
Cost of 1 m cloth = Rs. 35/x
According to the condition,
┬а
=> x (x + 14) тАУ 10 (x + 14) = 0
=> (x + 14) (x тАУ 10) = 0
Either x + 14 = 0, then x = тАУ 14 which is not possible being negative
or x тАУ 10 = 0, then x = 10
Length of piece of cloth = 10 m

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