Question

Mohini bought oranges at Rs 5 a dozen. She had to sell them at a loss of 4%. Find the S.P of one orange.

Answer 1

$$\begin{gathered} \mathrm{Cost}\mathrm{Price}\mathrm{of}12\mathrm{orange}=\mathrm{Rs}5 \\ \mathrm{Cost}\mathrm{Price}\mathrm{of}1\mathrm{orange}=\mathrm{Re}\left[\frac{5}{12}\right] \\ \mathrm{Loss}\%=4\% \\ \Rightarrow \left[\frac{\mathrm{loss}}{\mathrm{CP}}\times 100\right]\%=4\% \\ \Rightarrow \left[\frac{\mathrm{loss}}{5/12}\times 100\right]=4 \\ \Rightarrow \mathrm{Loss}=\frac{1}{60} \\ \Rightarrow \mathrm{CP}-\mathrm{SP}=\frac{1}{60} \\ \Rightarrow \mathrm{SP}=\frac{5}{12}-\frac{1}{60}=\frac{25-1}{60}=\frac{24}{60}=\mathrm{Re}0.4=40\mathrm{paise} \end{gathered}$$