SSC CPO SI and ASI Model Paper 1

(3) Let the initial working hours in aday be x and wages per hour be₹ y.
∴ Net wage per day = ₹ xy
Now, according to the question,
New working hours in a day
$=\frac{125}{100}\mathit{x}\mathit{x}=\frac{5\mathit{x}}{4}\mathit{h}\mathit{o}\mathit{u}\mathit{r}\mathit{s}$
New wages per hour
$=\frac{120}{100}\times \mathit{y}=\mathit{₹}\frac{6\mathit{y}}{5}$
∴New net wage per day $=\mathit{₹}\frac{3\mathit{x}\mathit{y}}{2}$
$\left(\mathit{i}.\mathit{e}.\frac{5\mathit{x}}{4}\times \frac{6\mathit{y}}{5}=\frac{3\mathit{x}\mathit{y}}{2}\right)$
Required percentage $=\frac{\mathit{x}\mathit{y}}{2\mathit{x}\mathit{y}}\times 100\%$
= 50%