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Question
A woker is paid Rs 200 for 8 days work. If he works for 20 days, how much will he get?
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Solution
Let Rs x be the income for 20 days of work.
| Income (in Rs) | 200 | x |
| Number of days | 8 | 20 |
\[\text{ Since the income and the number of working days are in direct variation, we have } \]
\[\frac{200}{x} = \frac{8}{20}\]
\[ \Rightarrow 200 \times 20 = 8x\]
\[ \Rightarrow x = \frac{200 \times 20}{8}\]
\[ = \frac{4000}{8}\]
\[ = 500\]
\[\text{ Thus, the worker will get Rs 500 for working 20 days } .\]
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