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Question
A worker is paid Rs 210 for 6 days work. If his total income of the month is Rs 875, for how many days did he work?
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Solution
Let x be the number of days for which the worker is paid Rs 875.
| Income (in Rs.) | 210 | 875 |
| Number of days | 6 | x |
\[\text{ Since the income of the worker and the number of working days are in direct variation, we have: } \]
\[\frac{210}{875} = \frac{6}{x}\]
\[ \Rightarrow 210 \times x = 875 \times 6\]
\[ \Rightarrow x = \frac{875 \times 6}{210}\]
\[ = \frac{5250}{210}\]
\[ = 25\]
\[\text{ Thus, the required number of days is 25 } .\]
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