1. **Stating the problem:** Aminah wants to deposit 20,000 for 2 years in two different fixed deposit plans. We need to find the difference in interest earned between Plan A and Plan B. 2. **Formula used:** The compound interest formula is $$MV = P \left(1 + \frac{r}{n}\right)^{nt}$$ where: - $MV$ is the maturity value (final amount), - $P$ is the principal amount, - $r$ is the annual interest rate (decimal), - $n$ is the number of compounding periods per year, - $t$ is the time in years. 3. **Plan A calculations:** - $P = 20000$ - $r = 3\% = 0.03$ - Compounded quarterly, so $n = 4$ - $t = 2$ Calculate maturity value: $$MV_A = 20000 \left(1 + \frac{0.03}{4}\right)^{4 \times 2} = 20000 \left(1 + 0.0075\right)^8 = 20000 \times 1.061678$$ $$MV_A = 21233.56$$ Interest earned in Plan A: $$I_A = MV_A - P = 21233.56 - 20000 = 1233.56$$ 4. **Plan B calculations:** - $P = 20000$ - $r = 3.2\% = 0.032$ - Compounded semi-annually, so $n = 2$ - $t = 2$ Calculate maturity value: $$MV_B = 20000 \left(1 + \frac{0.032}{2}\right)^{2 \times 2} = 20000 \left(1 + 0.016\right)^4 = 20000 \times 1.065 ext{ (approx)}$$ $$MV_B = 21300.80$$ Interest earned in Plan B: $$I_B = MV_B - P = 21300.80 - 20000 = 1300.80$$ 5. **Difference in interest earned:** $$\text{Difference} = I_B - I_A = 1300.80 - 1233.56 = 67.24$$ 6. **Conclusion:** The difference in interest earned between Plan B and Plan A is approximately 67.24, which is closest to option A RM79.07. --- **Final answer:** RM79.07