A. 10%
B. 12%
C. 16%
D. 20%
E. None of these
Solution(By Examveda Team)
$$\eqalign{ & {\text{Let the rate be R% p}}{\text{.a}}{\text{. }} \cr & {\text{Then,}} \cr & {\text{10000}}{\left( {1 + \frac{{\text{R}}}{{2 \times 100}}} \right)^4} = 14641 \cr & \Rightarrow {\left( {1 + \frac{{\text{R}}}{{200}}} \right)^4} = \frac{{14641}}{{10000}} = {\left( {\frac{{11}}{{10}}} \right)^4} \cr & \Rightarrow 1 + \frac{{\text{R}}}{{200}} = \frac{{11}}{{10}} \cr & \Rightarrow \frac{{\text{R}}}{{200}} = \frac{1}{{10}} \cr & \Rightarrow {\text{R}} = {\text{20% }} \cr} $$
wifilethbridge wifilethbridge
Rs.10000 amount to Rupees 14641 at 10% per annum compound interest compounded annually in 4 years
Step-by-step explanation:
Principal = 10000
Amount = 14641
Rate of interest = 10% =0.1
Formula:[tex]A=P(1+r)^t[/tex]
[tex]14641=10000(1+0.1)^t[/tex]
[tex]\frac{14641}{10000}=1.1^t[/tex]
[tex]1.4641=1.1^t[/tex]
[tex]1.1^4=1.1^t[/tex]
So, t= 4
Hence Rs.10000 amount to Rupees 14641 at 10% per annum compound interest compounded annually in 4 years
#Learn more:
Commute the amount and the compound interest on rupees 10000 compounded annually for 5/2 years at 4% per annum
//brainly.in/question/12950153
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A sum of Rs 10000 becomes Rs 1...
Updated On: 27-06-2022
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Answer : B
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