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Question Detail
In what time will Rs.1000 become Rs.1331 at 10% per annum compounded annually
- 2 Years
- 3 Years
- 4 Years
- 5 Years
Answer: Option B
Explanation:
Principal = Rs.1000;
Amount = Rs.1331;
Rate = Rs.10%p.a.
Let the time be n years then,
\begin{aligned}
1000(1+\frac{10}{100})^n = 1331 \\
(\frac{11}{10})^n = \frac{1331}{1000} \\
(\frac{11}{10})^3 = \frac{1331}{1000} \\
\end{aligned}
So answer is 3 years
1. What will be the compound interest on Rs. 25000 after 3 years at the rate of 12 % per annum
- 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
2. A sum of money invested at compound interest to Rs. 800 in 3 years and to Rs 840 in 4 years. The rate on interest per annum is.
- 4%
- 5%
- 6%
- 7%
Answer: Option B
Explanation:
S.I. on Rs 800 for 1 year = 40
Rate = (100*40)/(800*1) = 5%
3. What will be the difference between simple and compound interest @ 10% per annum on the sum of Rs 1000 after 4 years
- Rs 62.10
- Rs 63.10
- Rs 64.10
- Rs 65.10
Answer: Option C
Explanation:
\begin{aligned}
S.I. = \frac{1000*10*4}{100} = 400 \\
C.I. = [1000(1+\frac{10}{100})^4 - 1000] \\
= 464.10
\end{aligned}
So difference between simple interest and compound interest will be 464.10 - 400 = 64.10
4. 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}
5. Find the compound interest on Rs. 7500 at 4% per annum for 2 years, compounded annually.
- Rs. 610
- Rs. 612
- Rs. 614
- Rs. 616
Answer: Option B
Explanation:
\begin{aligned}
Amount = [7500 \times (1+ \frac{4}{100})^2] \\
= (7500 \times \frac{26}{25} \times \frac{26}{25}) \\
= 8112 \\
\end{aligned}
So compound interest = (8112 - 7500) = 612
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