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If the cost of 93 m of a certain kind of plastic sheet is Rs 1395, then what would it cost to buy 105 m of such plastic sheet?

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Question

If the cost of 93 m of a certain kind of plastic sheet is Rs 1395, then what would it cost to buy 105 m of such plastic sheet?

Sum
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Solution

Length of plastic sheet (in metre) 93 105
Cost (in Rs) 1395 x

Let the cost of the plastic sheet per metre be Rs x.

If more sheets are bought, the cost will also be more

Therefore, it is a direct variation.

We get:

93 : 105 = 1395 : x

\[ \Rightarrow \frac{93}{105} = \frac{1395}{x}\]

Applying cross muliplication, we get:

x = `(105xx1395)/93`

x = 1575

Thus, the required cost will be Rs 1,575.

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