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Represent the following situations in the forms of the quadrat

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Represent the following situations in the forms 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 cost of the piece would have remained unchanged.

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Elijah Discussed

Represent the following situations in the forms 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 cost of the piece would have remained unchanged.

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Text solutionVerified

Let 'x' be the length of cloth.

∵

Cost of x metre is Rs. 200.

∴

Cost per metre = Rs.

200 \div x

∴

Cost per metre when total size is x + 5 = Rs.

200 \div (x + 5)

∵

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

\Rightarrow \frac{200}{x} - \frac{200}{x + 5} = 2

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Question Text	Represent the following situations in the forms 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 cost of the piece would have remained unchanged.
Answer Type	Text solution:1
Upvotes	150

Represent the following situations in the forms 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 cost of the piece would have remained unchanged.

Text solutionVerified

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Represent the following situations in the forms 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 cost of the piece would have remained unchanged.