A certain some of money and Rs. 2420 in 2 years and Rs. 2662 in 3 years at same rate of compound interest, compounded annually. The rate of interest per annum is = ?
A. 6%
B. 8%
C. 9%
D. 10%
Answer: Option D
Solution(By Examveda Team)
$$\eqalign{ & {\text{Amount after three years}} \cr & {\text{ = Rs. 2662}} \cr & {\text{Amount after two years}} \cr & {\text{ = Rs. 2420}} \cr & {\text{Net interest earned in the }}{{\text{3}}^{{\text{rd}}}}{\text{ year}} \cr & {\text{ = }}\,{\text{2662}} - {\text{2420}} \cr & {\text{ = Rs}}{\text{. 242}} \cr & {\text{Rate of interest (r)}} \cr & {\text{ = }}\frac{{242}}{{2420}} \times {\text{100 = 10% }} \cr} $$(∴ 2nd year's amount is principal for 3rd year)
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