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Question Detail
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
P(1+R100)n>2P(1+20100)n>2(65)n>265×65×65×65>2
So answer is 4 years
1. 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:
=>(8000×(1+5100)2)=>8000×2120×2120=>8820
2. The present worth of Rs.169 due in 2 years at 4% per annum compound interest is
- Rs 155.25
- Rs 156.25
- Rs 157.25
- Rs 158.25
Answer: Option B
Explanation:
In this type of question we apply formula
Amount=P(1+R100)nAmount=169(1+4100)2Amount=169∗25∗2526∗26Amount=156.25
3. 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%
Amount=100(1+3100)2=106.09
Effective rate = (106.09 - 100)% = 6.09%
4. 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,
1000(1+10100)n=1331(1110)n=13311000(1110)3=13311000
So answer is 3 years
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:
Amount=[7500×(1+4100)2]=(7500×2625×2625)=8112
So compound interest = (8112 - 7500) = 612
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