A. 10% B. 11.5% C. 5% D. 20% Answer: Option A $$\eqalign{ & {\text{According to the question,}} \cr & {\text{compounded half yearly}} \cr &
{\text{Rate = }}\frac{{\text{R}}}{2} \cr & {\text{Time = }}\frac{{{\text{2T}}}}{3} \cr & {\text{Amount = P}}{\left( {1 + \frac{{\text{R}}}{{2 \times 100}}} \right)^3} \cr & \Rightarrow 2315.25 = 2000{\left( {1 + \frac{{\text{R}}}{{2 \times 100}}} \right)^3} \cr & \Rightarrow \frac{{2315.25}}{{2000}} = {\left( {1 + \frac{{\text{R}}}{{2 \times 100}}} \right)^3} \cr & \Rightarrow \frac{{231525}}{{200000}} = {\left( {1 + \frac{{\text{R}}}{{2 \times 100}}} \right)^3} \cr &
\Rightarrow \frac{{9261}}{{8000}} = {\left( {1 + \frac{{\text{R}}}{{2 \times 100}}} \right)^3} \cr & \Rightarrow {\left( {\frac{{21}}{{20}}} \right)^3} = {\left( {1 + \frac{{\text{R}}}{{2 \times 100}}} \right)^3} \cr & \Rightarrow 1 + \frac{{\text{R}}}{{200}} = \frac{{21}}{{20}} \cr & \Rightarrow {\text{R = 10}}\% \cr} $$ Join The DiscussionRelated Questions on Compound Interest According to the questioncompounded half yearly Rate = R2Time = 2T3Amount = P(1+R2×100) 3⇒2315.25=2000(1+R2×100)3⇒2315.252000=( 1+R2×100)3⇒231525200000=(1+R2×100)3 ⇒92618000=(1+R2×100)3⇒(2120) 3=(1+R2×100)3⇒1+R200=2120⇒R = 10% Best Selling Hand Written NotesWe are selling best-handwritten notes at a cheap price in Study91 which are follows: Video Class TutorialStudy 91 provide video class tutorials for every aspirants for their exams by their experts.
 We provide the Best Online Solution with Innovative Contents which is increase your Learning Skills. quick linkscontact usAccording to the question, compounded half yearly Rate = \( \Large \frac{R}{2} \) Time =\( \Large \frac{2T}{3} \) Amount=\( \Large P \left(1+\frac{R}{2 \times 100}\right)^{3}\) 2315.25=\( \Large 2000 \left(1+\frac{R}{200}\right)^{3}\) \( \Large \frac{2315.25}{2000}= \left(1+\frac{R}{200}\right)^{3}\) \( \Large \frac{231525}{200000}= \left(1+\frac{R}{200}\right)^{3}\) \( \Large \frac{9261}{8000}= \left(1+\frac{R}{200}\right)^{3}\) \( \Large\left(\frac{21}{20}\right)^{3} = \left(1+\frac{R}{200}\right)^{3}\) \( \Large 1+\frac{R}{200}=\frac{21}{20}=R = 10\% \)
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At what rate percent per annum will ₹ 2000 amount to ₹ 2205 in 2 years compounded annually?Hence, the required rate of interest is 5%. Was this answer helpful?
At what rate per annum will Rs 2000 amount to Rs 2400 in 2 years?This is Expert Verified Answer
∴In 2 years rupees 2000 will amount to rupees 2420 at 10% per annum compound interest.
In what time will Rs 2000 amounts to Rs 2315.25 at 5% per annum compounded annually?Given A = 2000, P = 2315.25, n = 3 years. r = 5%. Therefore the required rate is 5% per annum.
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Find the rate per annum, if Rs 2000 amount to Rs 2315.25 in 3 2 years compounded half yearly
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