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Question
The cost of 97 metre of cloth is Rs 242.50. What length of this can be purchased for Rs 302.50?
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Solution
Let x metre be the length of the cloth that can be purchased for Rs 302.50.
| Length (in m) | 97 | x |
| Cost (in Rs) | 242.50 | 302.50 |
\[\text{ Since the length of the cloth and its cost are in direct variation, we have } : \]
\[\frac{97}{x} = \frac{242 . 50}{302 . 50}\]
\[ \Rightarrow 97 \times 302 . 50 = x \times 242 . 50\]
\[ \Rightarrow x = \frac{97 \times 302 . 50}{242 . 50}\]
\[ = \frac{29342 . 50}{242 . 50}\]
\[ = 121\]
\[\text{ Thus, the required length will be 121 metre } .\]
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