Question

Tick (✓) the correct answer:
By selling a radio for Rs 950, a man loses 5%. What per cent shall he gain by selling it for Rs 1040?
(a) 4%
(b) 4.5%
(c) 5%
(d) 9%

Answer 1

​(a) 4%

$$\begin{gathered} \mathrm{SP}\mathrm{of}\mathrm{the}\mathrm{radio}=\mathrm{Rs}950 \\ \mathrm{Loss}=5\% \\ \mathrm{CP}=\left\{\frac{100}{\left(100-\mathrm{loss}\right)}\times \mathrm{SP}\right\} \\ =\mathrm{Rs}\left\{\frac{100}{\left(100-5\right)}\times 950\right\} \\ =\mathrm{Rs}\left(\frac{100}{95}\times 950\right) \\ =\mathrm{Rs}1000 \end{gathered}$$

$$\begin{gathered} \mathrm{Now},\mathrm{gain}=\mathrm{Rs}\left(1040-1000\right) \\ =\mathrm{Rs}40 \\ \therefore \mathrm{Gain}\mathrm{percentage}=\left(\frac{\mathrm{gain}}{\mathrm{CP}}\times 100\right)\% \\ =\left(\frac{40}{1000}\times 100\right)\% \\ =4\% \end{gathered}$$