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Rohit Bought 12 Registers for Rs 156, Find the Cost of 7 Such Registers. - Mathematics

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Question

Rohit bought 12 registers for Rs 156, find the cost of 7 such registers.

 
Short/Brief Note
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Solution

Let the cost of 7 registers be​ Rs x.
 

Register 12 7
Cost(in Rs.) 156 x

\[\text{ If he buys less number of registers, the cost will also be less }  . \]
\[\text{ Therefore, it is a direct variation .}  \]
\[\text{ We get: }  \]
\[12: 7 = 156: x\]
\[ \Rightarrow \frac{12}{7} = \frac{156}{x}\]
\[ \text{ Applying cross muliplication, we get: }  \]
\[x = \frac{156 \times 7}{12}\]
\[ = 91\]
\[\text{ Thus, the cost of 7 such registers will be Rs 91 } .\]

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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 7 | Page 7

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