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

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