Question

Avinash bought an electric iron 4 rupees 900 and sold it at gain of 10% his sold another electric iron at 5% loss which was bought for Rs.1200. on the whole transaction what is the loss%.

Answer 1

$$\begin{gathered} \mathrm{CP}\mathrm{of}\mathrm{first}\mathrm{electric}\mathrm{iron}=\mathrm{Rs}900 \\ \mathrm{Profit}\%=10\% \\ \Rightarrow \left[\frac{\mathrm{Profit}}{\mathrm{CP}}\times 100\right]\%=10\% \\ \Rightarrow \left[\frac{\mathrm{profit}}{\mathrm{CP}}\times 100\right]=10 \\ \Rightarrow 10\mathrm{profit}=\mathrm{CP} \\ \Rightarrow 10\left(\mathrm{SP}-\mathrm{CP}\right)=\mathrm{CP} \\ \Rightarrow 10\left(\mathrm{SP}-900\right)=900 \\ \Rightarrow 10\mathrm{SP}-9000=900 \\ \Rightarrow 10\mathrm{SP}=9900 \\ \Rightarrow \mathrm{SP}=\mathrm{Rs}990 \\ \mathrm{CP}\mathrm{of}\mathrm{second}\mathrm{electric}\mathrm{iron}=\mathrm{Rs}900 \\ \mathrm{loss}\%=5\% \\ \Rightarrow \left[\frac{\mathrm{loss}}{\mathrm{CP}}\times 100\right]\%=5\% \\ \Rightarrow \left[\frac{\mathrm{loss}}{\mathrm{CP}}\times 100\right]=5 \\ \Rightarrow 20\mathrm{loss}=\mathrm{CP} \\ \Rightarrow 20\left(\mathrm{CP}-\mathrm{SP}\right)=\mathrm{CP} \\ \Rightarrow 20\left(1200-\mathrm{SP}\right)=1200 \\ \Rightarrow 24000-20\mathrm{SP}=1200 \\ \Rightarrow 20\mathrm{SP}=22800 \\ \Rightarrow \mathrm{SP}=1140 \\ \mathrm{Total}\mathrm{CP}=900+1200=\mathrm{Rs}2100 \\ \mathrm{Total}\mathrm{SP}=990+1140=\mathrm{Rs}2130 \\ \mathrm{Net}\mathrm{profit}=\mathrm{Total}\mathrm{SP}-\mathrm{total}\mathrm{CP}=2130-2100=\mathrm{Rs}30 \\ \mathrm{Profit}\%=\left[\frac{\mathrm{Profit}}{\mathrm{Total}\mathrm{CP}}\times 100\right]\%=\left[\frac{30}{2100}\times 100\right]\%=\left[\frac{3000}{2100}\right]\%=1.4\% \end{gathered}$$