Question

A woker is paid Rs 200 for 8 days work. If he works for 20 days, how much will he get?

Answer 1

Let Rs x be the income for 20 days of work.

Income (in Rs)	200	x
Number of days	8	20

$$\begin{gathered} \mathrm{Since}\mathrm{the}\mathrm{income}\mathrm{and}\mathrm{the}\mathrm{number}\mathrm{of}\mathrm{working}\mathrm{days}\mathrm{are}\mathrm{in}\mathrm{direct}\mathrm{variation},\mathrm{we}\mathrm{have}: \\ \frac{200}{x}=\frac{8}{20} \\ \Rightarrow 200\times 20=8x \\ \Rightarrow x=\frac{200\times 20}{8} \\ =\frac{4000}{8} \\ =500 \\ \mathrm{Thus},\mathrm{the}\mathrm{worker}\mathrm{will}\mathrm{get}\mathrm{Rs}500\mathrm{for}\mathrm{working}20\mathrm{days}. \end{gathered}$$