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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? - Mathematics

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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?

Short Note

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.
\[\text{ If more sheets are bought, the cost will also be more } . \]
\[\text{ Therefore, it is a direct variation .}  \]
\[\text{ We get } : \]
\[93: 105 = 1395: x\]
\[ \Rightarrow \frac{93}{105} = \frac{1395}{x}\]
\[\text{ Applying cross muliplication, we get: }  \]
\[x = \frac{105 \times 1395}{93}\]
\[ = 1575\]
\[\text{ Thus, the required cost will be Rs 1, 575 } .\]
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Chapter 10: Direct and Inverse Variations - Exercise 10.1 [Page 7]

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RD Sharma Mathematics [English] Class 8
Chapter 10 Direct and Inverse Variations
Exercise 10.1 | Q 9 | Page 7

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