Question

Oranges are bought at 6 for Rs 10 and sold at 4 for Rs 9. Find the gain or loss per cent.

Answer 1

$$\begin{gathered} \mathrm{CP}\mathrm{of}6\mathrm{oranges}=\mathrm{Rs}.10 \\ \mathrm{CP}\mathrm{of}1\mathrm{orange}=\frac{10}{6}=\mathrm{Rs}.\frac{5}{3} \\ \mathrm{SP}\mathrm{of}4\mathrm{oranges}=\mathrm{Rs}.9 \\ \mathrm{SP}\mathrm{of}1\mathrm{orange}=\mathrm{Rs}.\frac{9}{4} \\ \mathrm{Since}\mathrm{SP}>\mathrm{CP},\mathrm{there}\mathrm{is}\mathrm{a}\mathrm{gain}. \\ \mathrm{Now},\mathrm{gain}=\mathrm{SP}-\mathrm{CP} \\ =\frac{9}{4}-\frac{5}{3} \\ =\mathrm{Rs}.\frac{7}{12} \\ \therefore \mathrm{Gain}\mathrm{percentage}=(\frac{\mathrm{gain}}{\mathrm{CP}}\times 100)\% \\ =(\frac{{\displaystyle \frac{7}{12}}}{{\displaystyle \frac{5}{3}}}\times 100)\% \\ =\left(\frac{7}{12}\times \frac{3}{5}\times 100\right)\% \\ =\left(\frac{7}{4}\times 20\right)\% \\ =35\% \end{gathered}$$