Question

Tick (✓) the correct answer:
On selling a chair for Rs 720, a man loses 25%. To gain 25% it must be sold for
(a) Rs 900
(b) Rs 1200
(c) Rs 1080
(d) Rs 1440

Answer 1

​ (b) Rs.1200

$$\begin{gathered} \mathrm{SP}=\mathrm{Rs}720 \\ \mathrm{Loss}\mathrm{percentage}=25\% \\ \mathrm{CP}=\left\{\frac{100}{\left(100-\mathrm{loss}\%\right)}\times \mathrm{SP}\right\} \\ =\mathrm{Rs}\left\{\frac{100}{\left(100-25\right)}\times \mathrm{SP}\right\} \\ =\mathrm{Rs}\left(\frac{100}{85}\times 720\right) \\ =\mathrm{Rs}960 \\ \therefore \mathrm{Desired}\mathrm{SP}=\left\{\frac{\left(100+\mathrm{gain}\%\right)}{100}\times \mathrm{CP}\right\} \end{gathered}$$
$$\begin{gathered} =\mathrm{Rs}.\left\{\frac{\left(100+25\right)}{100}\times 960\right\} \\ =\mathrm{Rs}.\left(\frac{125}{100}\times 960\right) \\ =\mathrm{Rs}.1200 \end{gathered}$$