SSC CPO SI and ASI Model Paper 3

(4) Let P be the initial price and Qbe the initial quantity of sugar.
New price after 40% hike in price =
$\mathit{P}+40\%\mathit{o}\mathit{f}\mathit{P}=1.4\mathit{P}=\frac{7}{5}\mathit{P}$
In order to keep the expenditureunchanged, the new quantity has to
be$\frac{5}{7}$Q
Decrease in quantity
$=\mathit{Q}-\frac{5}{7}\mathit{Q}=\frac{2}{7}\mathit{Q}$
$\frac{2}{7}\mathit{Q}=2\mathit{k}\mathit{g}\Rightarrow \mathit{Q}$
= 7 kg
New quantity =$\frac{5}{7}\times 7=5$kg