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?
Solution:
Let x be the number of days for which the worker is paid Rs 875.
Since the income of the worker and the number of working days are in direct variation, we have:
$\frac{210}{875}=\frac{6}{x}$
$\Rightarrow 210 \times x=875 \times 6$
$\Rightarrow x=\frac{875 \times 6}{210}$
$=\frac{5250}{210}$
$=25$
Thus, the required number of days is 25 .