Question

Tick (✓) the correct answer:
Oranges are bought at 5 for Rs 10 and sold at 6 for Rs 15. His gain per cent is
(a) 50%
(b) 40%
(c) 35%
(d) 25%

Answer 1

(d) 25%

​$$\begin{gathered} \mathrm{L}.\mathrm{C}.\mathrm{M}\mathrm{of}5\mathrm{and}6=\left(5\times 1\times 6\right)=30 \\ \mathrm{Let}30\mathrm{be}\mathrm{the}\mathrm{number}\mathrm{of}\mathrm{oranges}\mathrm{bought}. \\ \mathrm{CP}\mathrm{of}5\mathrm{oranges}=\mathrm{Rs}10 \\ \mathrm{CP}\mathrm{of}1\mathrm{oranges}=\mathrm{Rs}\left(\frac{10}{5}\right) \\ =\mathrm{Rs}2 \\ \therefore \mathit{}\mathrm{CP}\mathrm{of}30\mathrm{oranges}=\mathrm{Rs}\left(2\times 30\right) \\ =\mathrm{Rs}60 \\ \mathrm{SP}\mathrm{of}6\mathrm{oranges}=\mathrm{Rs}15 \\ \mathrm{SP}\mathrm{of}1\mathrm{oranges}=\mathrm{Rs}\left(\frac{15}{6}\right) \\ \therefore \mathrm{SP}\mathrm{of}30\mathrm{oranges}=\mathrm{Rs}\left(\frac{15}{6}\times 30\right) \end{gathered}$$

$=\mathrm{Rs}75$

$$\begin{gathered} \mathrm{Now},\mathrm{gain}=\mathrm{Rs}\left(75-60\right) \\ =\mathrm{Rs}15 \\ \therefore \mathrm{Gain}\mathrm{percentage}=\left(\frac{\mathrm{gain}}{\mathrm{CP}}\times 100\right)\% \\ =\left(\frac{15}{60}\times 100\right)\% \\ =25\% \end{gathered}$$