Question

Juhi sells a washing machine for Rs 12,750. She loses 15% in the market. What was the price at which she bought it.

Answer 1

$$\begin{gathered} \mathrm{Let}\mathrm{the}\mathrm{CP}\mathrm{of}\mathrm{washing}\mathrm{machine}=\mathrm{Rs}\mathrm{x} \\ \mathrm{Now},\mathrm{SP}\mathrm{of}\mathrm{washing}\mathrm{machine}=\mathrm{Rs}12750 \\ \mathrm{Loss}\%=15\% \\ \Rightarrow \left[\frac{\mathrm{loss}}{\mathrm{CP}}\times 100\right]\%=15\% \\ \Rightarrow \left(\frac{\mathrm{loss}}{\mathrm{x}}\times 100\right)=15 \\ \Rightarrow \frac{\mathrm{loss}}{\mathrm{x}}\times 20=3 \\ \Rightarrow 20\mathrm{loss}=3\mathrm{x} \\ \Rightarrow 20\left(\mathrm{CP}-\mathrm{SP}\right)=3\mathrm{x} \\ \Rightarrow 20\left(\mathrm{x}-12750\right)=3\mathrm{x} \\ \Rightarrow 20\mathrm{x}-255000=3\mathrm{x} \\ \Rightarrow 17\mathrm{x}=255000 \\ \Rightarrow \mathrm{x}=15000 \\ \mathrm{So},\mathrm{CP}=\mathrm{Rs}15000 \end{gathered}$$

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