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?

Answer 1

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

\[\text{ Since the income of the worker and the number of working days are in direct variation, we have: }  \]
\[\frac{210}{875} = \frac{6}{x}\]
\[ \Rightarrow 210 \times x = 875 \times 6\]
\[ \Rightarrow x = \frac{875 \times 6}{210}\]
\[ = \frac{5250}{210}\]
\[ = 25\]
\[\text{ Thus, the required number of days is 25 }  .\]