1. **Problem:** Find the simple interest on 50000 at 8% from March 21, 2021 to June 10, 2021 using different methods. 2. **Calculate the actual time:** - From March 21 to June 10 is 31 (Mar 21 to Apr 21) + 30 (Apr 21 to May 21) + 20 (May 21 to Jun 10) = 81 days. 3. **Calculate the approximate time:** - Approximate time uses 360 days per year. - Approximate time in years = $$\frac{81}{360} = 0.225$$ years. 4. **Formulas for simple interest:** - Simple Interest (SI) = $$P \times r \times t$$ - Where $P$ = principal, $r$ = rate per year (decimal), $t$ = time in years. 5. **i) Ordinary interest with actual time:** - Ordinary interest assumes 360 days per year. - Time in years = $$\frac{81}{360} = 0.225$$ - SI = $$50000 \times 0.08 \times 0.225 = 900$$ 6. **ii) Ordinary interest with approximate time:** - Approximate time is same as ordinary time here, so SI = 900. 7. **iii) Exact interest with actual time:** - Exact interest uses 365 days per year. - Time in years = $$\frac{81}{365} \approx 0.2219$$ - SI = $$50000 \times 0.08 \times 0.2219 \approx 887.60$$ 8. **vi) Exact interest with approximate time:** - Approximate time is 0.225 years. - SI = $$50000 \times 0.08 \times 0.225 = 900$$ **Final answers:** - Actual time = 81 days - Approximate time = 0.225 years - Ordinary interest (actual time) = 900 - Ordinary interest (approximate time) = 900 - Exact interest (actual time) = 887.60 - Exact interest (approximate time) = 900