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Question Detail
Albert invested amount of 8000 in a fixed deposit for 2 years at compound interest rate of 5 % per annum. How much Albert will get on the maturity of the fixed deposit.
- Rs. 8510
- Rs. 8620
- Rs. 8730
- Rs. 8820
Answer: Option D
Explanation:
\begin{aligned}
=> (8000 \times(1+\frac{5}{100})^2) \\
=> 8000 \times \frac{21}{20}\times \frac{21}{20} \\
=> 8820
\end{aligned}
1. 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}
2. 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
3. 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%
4. 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%
5. Albert invested amount of 8000 in a fixed deposit for 2 years at compound interest rate of 5 % per annum. How much Albert will get on the maturity of the fixed deposit.
- Rs. 8510
- Rs. 8620
- Rs. 8730
- Rs. 8820
Answer: Option D
Explanation:
\begin{aligned}
=> (8000 \times(1+\frac{5}{100})^2) \\
=> 8000 \times \frac{21}{20}\times \frac{21}{20} \\
=> 8820
\end{aligned}
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