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Question Detail
Find the compound interest on Rs.16,000 at 20% per annum for 9 months, compounded quarterly
- Rs 2520
- Rs 2521
- Rs 2522
- Rs 2523
Answer: Option C
Explanation:
Please remember, when we have to calculate C.I. quarterly then we apply following formula if n is the number of years
\begin{aligned}
Amount = P(1+\frac{\frac{R}{4}}{100})^{4n}
\end{aligned}
Principal = Rs.16,000;
Time=9 months = 3 quarters;
Rate = 20%, it will be 20/4 = 5%
So lets solve this question now,
\begin{aligned}
Amount = 16000(1+\frac{5}{100})^3 \\
= 18522\\
C.I = 18522 - 16000 = 2522
\end{aligned}
1. Effective annual rate of interest corresponding to nominal rate of 6% per annum compounded half yearly will be
- 6.09%
- 6.10%
- 6.12%
- 6.14%
Answer: Option A
Explanation:
Let the amount Rs 100 for 1 year when compounded half yearly, n = 2, Rate = 6/2 = 3%
\begin{aligned}
Amount = 100(1+\frac{3}{100})^2 = 106.09
\end{aligned}
Effective rate = (106.09 - 100)% = 6.09%
2. A man saves Rs 200 at the end of each year and lends the money at 5% compound interest. How much will it become at the end of 3 years.
- Rs 662
- Rs 662.01
- Rs 662.02
- Rs 662.03
Answer: Option C
Explanation:
\begin{aligned}
[200(1+\frac{5}{100})^3 + 200(1+\frac{5}{100})^2+ \\ 200(1+\frac{5}{100})]
= [200(\frac{21}{20} \times \frac{21}{20} \times \frac{21}{20})\\
+ 200(\frac{21}{20}\times\frac{21}{20})+200(\frac{21}{20})] \\
= 662.02
\end{aligned}
3. 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
4. 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%
5. 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
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