Question

Tick (✓) the correct answer:
Bananas are bought at 3 for Rs 2 and sold at 2 for Rs 3. The gain per cent is
(a) 25%
(b) 50%
(c) 75%
(d) 125%

Answer 1

(d) 125%
$$\begin{gathered} \mathrm{Cost}\mathrm{price}\mathrm{of}\mathrm{a}\mathrm{banana}=\mathrm{Rs}\frac{2}{3} \\ \mathrm{Selling}\mathrm{price}\mathrm{of}\mathrm{a}\mathrm{banana}=\mathrm{Rs}\frac{3}{2} \\ \mathrm{Now},\mathrm{profit}=\mathrm{Rs}(\frac{3}{2}-\frac{2}{3})=\mathrm{Rs}\frac{9-4}{6}=\mathrm{Rs}\frac{5}{6} \\ \therefore \mathrm{Gain}\mathrm{percentage}=\frac{\mathrm{gain}}{\mathrm{CP}}\times 100 \\ =\frac{\left({\displaystyle \frac{5}{6}}\right)}{\left({\displaystyle \frac{2}{3}}\right)}\times 100 \\ =\frac{5}{6}\times \frac{3}{2}\times 100 \\ =\frac{5}{4}\times 100 \\ =5\times 25 \\ =125\% \end{gathered}$$