Question

a hand bag was sold for Rs. 765 at the loss of 15 %. find the profit or loss percent if it was sold for Rs 819.

Answer 1

$$\begin{gathered} \mathrm{SP}\mathrm{of}\mathrm{hand}\mathrm{bag}=\mathrm{Rs}.765 \\ \mathrm{loss}\%=15 \\ \mathrm{So}\mathrm{let}\mathrm{CP}\hspace{0.17em}=\mathrm{x} \\ \mathrm{x}-15\%\mathrm{x}=765 \\ \mathrm{x}-\frac{3\mathrm{x}}{20}=765 \\ \frac{17\mathrm{x}}{20}=765 \\ \mathrm{CP}=\mathrm{x}=900 \\ \mathrm{Now}\mathrm{if}\mathrm{SP}=819 \\ \mathrm{SO}\mathrm{here}\mathrm{we}\mathrm{can}\mathrm{see}\mathrm{that}\mathrm{he}\mathrm{will}\mathrm{face}\mathrm{loss} \\ \mathrm{So}\mathrm{loss}\%=\frac{900-819}{900}\times 100=9\% \end{gathered}$$