A. 10% Show B. 12% C. 16% D. 20% E. None of these Solution(By Examveda Team)$$\eqalign{ & {\text{Let the rate be R% p}}{\text{.a}}{\text{. }} \cr & {\text{Then,}} \cr & {\text{10000}}{\left( {1 + \frac{{\text{R}}}{{2 \times 100}}} \right)^4} = 14641 \cr & \Rightarrow {\left( {1 + \frac{{\text{R}}}{{200}}} \right)^4} = \frac{{14641}}{{10000}} = {\left( {\frac{{11}}{{10}}} \right)^4} \cr & \Rightarrow 1 + \frac{{\text{R}}}{{200}} = \frac{{11}}{{10}} \cr & \Rightarrow \frac{{\text{R}}}{{200}} = \frac{1}{{10}} \cr & \Rightarrow {\text{R}} = {\text{20% }} \cr} $$ Correct Answer - Option 4 : 4 years Given: Principal = Rs. 10000 Rate of interest = 10% Amount = Rs. 14641 Formula used: A = P(1 + R/100)T Where, A = Amount, P = Principal R = Rate of interest, T = Time Calculation: A = P(1 + R/100)T ⇒ 14641 = 10000(1 + 10/100)T ⇒ (14641/10000) = (11/10)T ⇒ (11/10)4 = (11/10)T ⇒ T = 4 years ∴ The time is 4 years. In what time will 10000 amount to 14641 at 10% per annum compound interest compounded annually?Answer. Answer: Rs. 10000 amount to Rupees 14641 at 10% per annum compound interest compounded annually in 4 years.
At what rate of compound interest per annum will a sum of Rs 10000 becomes Rs 14641 in 4 years?A sum of Rs 10000 becomes Rs 14641 when invested at compound interest at the yearly interest rate of 20% per annum.
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