Q4 of 168 Page 7

Represent the following situations in the form of the quadratic equation.

A piece of cloth costs Rs. 200. If the piece was 5 metre longer and each metre of cloth costs Rs. 2 less, the cost of the piece would have remained unchanged.

Let ‘x’ be the length of cloth.

∵ Cost of x metre is Rs. 200.


∴ Cost per metre = Rs. 200 ÷ x


∴ Cost per metre when total size is x + 5 = Rs. 200 ÷ (x + 5)


∵ Cost of 5 metre longer cloth is Rs. 2 less for each metre.


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