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Question Detail
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}
1. 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%
2. 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
3. Simple interest on a certain sum of money for 3 years at 8% per annum is half the compound interest on Rs. 4000 for 2 years at 10% per annum. The sum placed on simple interest is
- Rs 1650
- Rs 1750
- Rs 1850
- Rs 1950
Answer: Option B
Explanation:
\begin{aligned}
C.I. = (4000 \times(1+\frac{10}{100})^2 - 4000) \\
= 4000 * \frac{11}{10} * \frac{11}{10} - 4000 \\
= 840 \\
\text{So S.I. = } \frac{840}{2} = 420\\
\text{So Sum = } \frac{S.I. * 100}{R*T} \\
= \frac{420 * 100}{3*8} \\
= Rs 1750
\end{aligned}
4. If the simple interest on a sum of money for 2 years at 5% per annum is Rs.50, what will be the compound interest on same values
- Rs.51.75
- Rs 51.50
- Rs 51.25
- Rs 51
Answer: Option C
Explanation:
\begin{aligned}
S.I. = \frac{P*R*T}{100} \\
P = \frac{50*100}{5*2} = 500\\
Amount = 500(1+\frac{5}{100})^2 \\
500(\frac{21}{20} * \frac{21}{20}) \\
= 551.25 \\
C.I. = 551.25 - 500 = 51.25
\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}
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