Raju purchased an item for Rs. 8200 and sold it at a gain of 25% . From that amount he purchased another item and sold it at a loss of 20% . What is his overall gain loss ?

$$\eqalign{ & {\text{Initial investment}} \cr & = {\text{Rs}}.8200 \cr & {\text{S}}{\text{.P}}{\text{.of }}{{\text{1}}^{{\text{st}}}}{\text{ term}} \cr & = {\text{Rs}}.\left( {\frac{{125}}{{100}} \times 8200} \right) \cr & = {\text{Rs}}{\text{. }}10250 \cr & {\text{C}}{\text{.P}}{\text{.of }}{{\text{2}}^{{\text{nd}}}}{\text{ term}} \cr & = {\text{Rs}}{\text{. }}10250 \cr & {\text{loss}} = 20\% \cr & {\text{Final receipt}} \cr & = {\text{S}}{\text{.P}}{\text{.of }}{{\text{2}}^{{\text{nd}}}}{\text{ term}} \cr & = {\text{Rs}}.\left( {\frac{{80}}{{100}} \times 10250} \right) \cr & = {\text{Rs}}{\text{. }}8200 \cr} $$
Since initial investment = final receipt, there was neither gain nor loss.