1. **Problem Statement:** Vidwa deposited 6000 rupees in a bank with an 8% annual simple interest rate. We need to find how long it takes to receive 1440 rupees as interest. 2. **Formula for Simple Interest:** $$\text{Simple Interest} = P \times R \times T$$ where $P$ is the principal amount, $R$ is the rate of interest per year (in decimal), and $T$ is the time in years. 3. **Given values:** - $P = 6000$ - $R = 8\% = 0.08$ - Interest $I = 1440$ 4. **Substitute the values into the formula:** $$1440 = 6000 \times 0.08 \times T$$ 5. **Simplify the right side:** $$1440 = 480 \times T$$ 6. **Solve for $T$ by dividing both sides by 480:** $$T = \frac{1440}{480}$$ 7. **Show cancellation:** $$T = \frac{\cancel{1440}}{\cancel{480}} = 3$$ 8. **Final answer:** Vidwa will receive 1440 rupees as interest after **3 years**.