What is the compound interest on a principal of 25000 after 3 years at the rate of 12% per annum?

Question Detail

  • Rs 10123.20
  • Rs 10123.30
  • Rs 10123.40
  • Rs 10123.50

Answer: Option A

Explanation:

\begin{aligned}
(25000 \times (1 + \frac{12}{100})^3) \\
=> 25000\times\frac{28}{25}\times\frac{28}{25}\times\frac{28}{25} \\
=> 35123.20 \\
\end{aligned}

So Compound interest will be 35123.20 - 25000
= Rs 10123.20

Similar Questions :

1. The least number of complete years in which a sum of money put out at 20% compound interest will be more than doubled is

  • 4 years
  • 5 years
  • 6 years
  • 7 years

Answer: Option A

Explanation:

As per question we need something like following

\begin{aligned}
P(1+\frac{R}{100})^n > 2P \\
(1+\frac{20}{100})^n > 2 \\
(\frac{6}{5})^n > 2 \\
\frac{6}{5} \times \frac{6}{5} \times \frac{6}{5}\times\frac{6}{5} > 2

\end{aligned}

So answer is 4 years

2. The difference between simple and compound interests compounded annually on a certain sum of money for 2 years at 4% per annum is Rs 1. Find the sum

  • Rs 600
  • Rs 625
  • Rs 650
  • Rs 675

Answer: Option B

Explanation:

Let the Sum be P
\begin{aligned}
S.I. = \frac{P*4*2}{100} = \frac{2P}{25}\\

C.I. = P(1+\frac{4}{100})^2 - P \\

= \frac{676P}{625} - P \\
= \frac{51P}{625} \\
\text{As, C.I. - S.I = 1}\\
=> \frac{51P}{625} - \frac{2P}{25} = 1 \\
=> \frac{51P - 50P}{625} = 1 \\
P = 625
\end{aligned}

3. On a sum of money, simple interest for 2 years is Rs 660 and compound interest is Rs 696.30, the rate of interest being the same in both cases.

  • 8%
  • 9%
  • 10%
  • 11%

Answer: Option D

Explanation:

Difference between C.I and S.I for 2 years = 36.30
S.I. for one year = 330.
S.I. on Rs 330 for one year = 36.30

So R% = \frac{100*36.30}{330*1} = 11%

4. At what rate of compound interest per annum will a sum of Rs. 1200 become Rs. 1348.32 in 2 years

  • 3%
  • 4%
  • 5%
  • 6%

Answer: Option D

Explanation:

Let Rate will be R%

\begin{aligned}
1200(1+\frac{R}{100})^2 = \frac{134832}{100} \\

(1+\frac{R}{100})^2 = \frac{134832}{120000} \\

(1+\frac{R}{100})^2 = \frac{11236}{10000} \\

(1+\frac{R}{100}) = \frac{106}{100} \\
=> R = 6\%
\end{aligned}

5. Find compound interest on Rs. 7500 at 4% per annum for 2 years, compounded annually

  • Rs 312
  • Rs 412
  • Rs 512
  • Rs 612

Answer: Option D

Explanation:

Please apply the formula

\begin{aligned}
Amount = P(1+\frac{R}{100})^n \\
\text{C.I. = Amount - P}
\end{aligned}

Read more from - Compound Interest Questions Answers

P = Rs 25000, n = 3 years, r = 12% p.a

\(\therefore\) Amount = P\(\Big(1+\frac{r}{100}\Big)^n\) = Rs 25000 x\(\Big(1+\frac{12}{100}\Big)^3\)

= Rs 25000 x \(\Big(\frac{112}{100}\Big)^3\) = Rs 25000 x \(\frac{28}{25}\times\frac{28}{25}\times\frac{28}{25}\)

= RS 35123.20

\(\therefore\) Compound interest = Rs (35123.20 – 25000) = Rs 10123.20

A. Rs. 9000.30

B. Rs. 9720

C. Rs. 10123.20

D. Rs. 10483.20

E. None of these

Solution(By Examveda Team)

$$\eqalign{ & {\text{Amount}} = Rs.\,\left[ {25000 \times {{\left( {1 + \frac{{12}}{{100}}} \right)}^3}} \right] \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = Rs.\,\left( {25000 \times \frac{{28}}{{25}} \times \frac{{28}}{{25}} \times \frac{{28}}{{25}}} \right) \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = Rs.\,35123.20 \cr & \therefore {\text{C}}{\text{.I}}{\text{.}} = Rs.\left( {35123.20 - 25000} \right) \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = Rs.\,10123.20 \cr} $$

What will be the compound interest on 25000 after 3 years at 12 per annum?

(1+12100)3=25000(2825×2825×2825)=35123.20.

What would be the compound interest on a principal of Rs 10000 interest rate 12% for 3 years assuming interest is compounded every month?

1,664. ∴ The compound interest is Rs. 1,664.

What will be the amount on Rs 25000 at the rate of 30% per annum compounded yearly for 2 years?

Solution : Amount`=P(1+r/100)^t`<br> Amount`=25000(1+4/100)^1`<br> After 2 years <br> Amount`=25000(1+4/100)(1+5/100)`<br> `A=27300`<br> option c is correct.

What is the compound interest of 10000 for 3 years?

=13310–10000=₹ 3310.