1. **Stating the problem:** Nimal and Kamal have a total of 400 rupees together. When Nimal gives 500 rupees to Kamal, their amounts become equal. We need to find how much each had initially. 2. **Assign variables:** Let the amount Nimal has be $x$ rupees. Let the amount Kamal has be $y$ rupees. 3. **Write equations:** Since total money is 400 rupees, $$x + y = 400$$ When Nimal gives 500 rupees to Kamal, both have equal amounts: Nimal's new amount = $x - 500$ Kamal's new amount = $y + 500$ Since these are equal, $$x - 500 = y + 500$$ 4. **Solve equations:** From the second equation, $$x - y = 1000$$ We now have two equations: $$\begin{cases} x + y = 400 \\ x - y = 1000 \end{cases}$$ Add the two equations: $$2x = 1400 \implies x = 700$$ Substitute $x=700$ into $x + y = 400$: $$700 + y = 400 \implies y = 400 - 700 = -300$$ 5. **Interpret result:** Kamal's amount is $-300$, which is not possible physically. Thus, the problem conditions are inconsistent or misinterpreted. **Final answer:** There is no possible solution where both have $400$ total and Nimal giving $500$ rupees makes their amounts equal.