If a man were to sell his handcart for Rs. 720, he would loss 25% . To gain 25% , the selling price is = ?

Solution(By Examveda Team)

Let cost price of hand cart = 100
According to the question,
\[{\text{100 (cp)}}\xrightarrow{{25\% {\text{Loss}}}}75{\text{ }}({\text{sp}})\xrightarrow{{ \times \frac{{48}}{5}}}720\,{\text{(given)}}\]
$$\eqalign{ & 75\,{\text{units}} \to 720 \cr & 1\,{\text{unit}} \to \frac{{720}}{{75}} = \frac{{48}}{5} \cr & 100\,{\text{units}} \to \frac{{48}}{5} \times 100 = 960 \cr & \therefore {\text{Cost price}} = {\text{ Rs}}{\text{.960}} \cr & {\text{To gain }}25\% {\text{ selling price is }} \cr & = {\text{cp}} + {\text{profit}}\% \times {\text{cp}} \cr & = 960 + \frac{{25}}{{100}} \times 960 \cr & = 960 + 240 = {\text{Rs}}{\text{.}}\,1200 \cr} $$