A house and a shop were sold for Rs. 1 lakh each. In this transaction, the house sale resulted into 20% loss whereas the shop sale resulted into 20% profit. The entire transaction resulted in -

Solution (By Examveda Team)

$$\eqalign{ & {\text{Total S}}{\text{.P}}{\text{.}} = {\text{Rs}}{\text{. 2 lakh}} \cr & {\text{C}}{\text{.P}}{\text{. of house}} \cr & = {\text{Rs}}{\text{.}}\left( {\frac{{100}}{{80}} \times 1} \right){\text{lakh}} \cr & = {\text{Rs}}.\frac{5}{4}{\text{lakh}}{\text{}} \cr & {\text{C}}{\text{.P}}{\text{.of shop}} \cr & = {\text{Rs}}{\text{.}}\left( {\frac{{100}}{{120}} \times 1} \right){\text{lakh}} \cr & = {\text{Rs}}{\text{.}}\frac{5}{6}{\text{lakh}}{\text{}} \cr & {\text{Total C}}{\text{.P}}. \cr & = {\text{Rs}}{\text{.}}\left( {\frac{5}{4} + \frac{5}{6}} \right){\text{lakh}} \cr & = {\text{Rs}}.\frac{{25}}{{12}}{\text{lakh}}{\text{}} \cr & \therefore {\text{Loss}} \cr & = {\text{Rs}}.\left( {\frac{{25}}{{12}} - 2} \right){\text{lakh}} \cr & = {\text{Rs}}.\frac{1}{{12}}{\text{ lakh}} \cr} $$