Question

brainLIESR UR ANSWER AWRDD .find the rate percent annum ,if compounded yearly .principal=3136,compound interest =rs.375,time =2years

Answer 1

P = Principal Amount = 3136

n = Time= 2 years

CI = Compound interest = 375

We know that

CI = P(1+i)^n - P

375 = 3136(1+i)^2 - 3136

375 + 3136 = 3136(1+i)^2

3511 = 3136(1+i)^2

1.1195 = (1+i)^2

√(1.1195) = 1 + i

1.05 = 1 + i

1.05 - 1= i

0.05 = i = 5%

Answer 2

Question:-

find the rate percent annum ,if compounded yearly .principal=3136,compound interest =rs.375,time =2years


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*$\bold{\huge{\underline{Correct Answer}}}$*



We have:-

Principal=3136

Compound Interest=375

Time=2 years

Rate of Interest=??


Using Formula of Compound Interest;

$\bold{ci = p {(1 + i)}^{n}}$

Here's

P refer to Principal

CI refer to Compound Interest

I refer to Interest

n refer to Time



$\bold{375= 3136{(1 + i)}^{2}} - 3136 \\ \\ 375 + 3136 = 3136 {(1 + i)}^{2} \\ \\ \cancel{3511} = \cancel{3136} = {(1 + i)}^{2} \\ \\ \sqrt{1.119} = 1 + i \\ \\ 1.05 - 1 = i \\ \\ 0.05 = i$

$\bold{i = 5\%}$


Thanks!!!