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- Question
The difference between the compound interest and the simple interest on a certain sum at 12% p.a. for two years is Rs.90. What will be the value of the amount at the end of 3 years?
Options- A. 8560
- B. 8673
- C. 8746
- D. 8780.80
- Correct Answer
- 8780.80
Explanationwhen interest is reckoned using compound interest, interest being compounded annually. The difference in the simple interest and compound interest for two years is on account of the interest paid on the first year's interest Hence 12% of simple interest = 90 => simple interest =90/0.12 =750.
As the simple interest for a year = 750 @ 12% p.a., the principal =750/0.12 = Rs.6250.
If the principal is 6250, then the amount outstanding at the end of 3 years = 6250 + 3(simple interest on 6250) + 3 (interest on simple interest) + 1 (interest on interest on interest) = 6250 +3(750) + 3(90) + 1(10.80) = 8780.80.
- 1. If the simple interest on a sum of money at 5% per annum for 3 years is Rs. 1200, find the compound interest on the same sum for the same period at the same rate.
Options- A. Rs.1251
- B. Rs.1261
- C. Rs.1271
- D. Rs,1281 Discuss
- 2. Albert invested an amount of Rs.8000 in a fixed deposit scheme for 2 years at compound interest rate 5 p.c.p.a. How much amount will Albert get on maturity of the fixed deposit ?
Options- A. Rs.8600
- B. Rs.8830
- C. Rs.8500
- D. Rs.8820 Discuss
- 3. In how many years will Rs 25,000 yield Rs 8,275 as compound interest at 10% per annum compounded annually?
Options- A. 2
- B. 4
- C. 3
- D. 5 Discuss
- 4. If the amount received at the end of 2nd and 3rd year at Compound Interest on a certain Principal is Rs 1,800, and Rs 1,926 respectively, what is the rate of interest?
Options- A. 7.5%
- B. 7%
- C. 6%
- D. 6.5% Discuss
- 5. What is the difference (in Rs) between the compound interests on Rs. 1000 for 1 year at 10% per annum compounded yearly and half-yearly?
Options- A. 1.5
- B. 0.5
- C. 2.5
- D. 3.5 Discuss
- 6. If you deposit $5000 into an account paying 6% annual interest compounded monthly, how long until there is $8000 in the account?
Options- A. 6.9
- B. 7.9
- C. 8.9
- D. 9.9 Discuss
- 7. Calculate the future value of $3,000 invested at 7% for 5 years
Options- A. 4207.66
- B. 5207
- C. 4376
- D. 5687 Discuss
- 8. Assume that money can be invested at 8% compounded quarterly,which is larger,$2500 now or $3800 in 5 years?
Options- A. 1557.29
- B. 2557.29
- C. 2567
- D. 2457 Discuss
- 9. Two payments of $10,000 each must be made one year and four years from now. If money can earn 9% compounded monthly, what single payment two years from now would be equivalent to the two scheduled payments?
Options- A. 19296
- B. 19396
- C. 19496
- D. 19596 Discuss
- 10. A chartered bank offers a five-year Escalator Guaranteed Investment Certificate.In successive years it pays annual interest rates of 4%, 4.5%, 5%, 5.5%, and 6%, respectively, compounded at the end of each year. The bank also offers regular five-year GICs paying a fixed rate of 5% compounded annually. Calculate and compare the maturity values of $1000 invested in each type of GIC. (Note that 5% is the average of the five successive one-year rates paid on the Escalator GIC.)
Options- A. 1276.28
- B. 1234
- C. 1278
- D. 1256 Discuss
Compound Interest problems
Search Results
Correct Answer: Rs.1261
Explanation:
Clearly, Rate = 5% p.a .,
Time = 3 years
S.I =Rs.1200.
So,Principal
=Rs.(100 x 1200/3x5)
=Rs.8000.
Amount
=Rs.[8000 x (1+5/100)³]
=Rs(8000x21/20x21/20x21/20)
= Rs.9261
C.I
=Rs.(9261-8000)
=Rs.1261.
Correct Answer: Rs.8820
Explanation:
Amount
=Rs.[8000x(1+5/100)²]
= Rs.[8000 x 21/20x21/20]
= Rs.8820.
Correct Answer: 3
Correct Answer: 7%
Correct Answer: 2.5
Correct Answer: 7.9
Explanation:
FV=P(1+r/n)^nt
Correct Answer: 4207.66
Explanation:
F=P(1+i)^n
Correct Answer: 2557.29
Explanation:
First find the present value of $3800,then compare present values:
M = p(1+i/4)^4n
Correct Answer: 19296
Explanation:
The single equivalent payment will be PV + FV.
FV = Future value of $10,000, 12 months later
$10,000 *(1.0075)/12
$10,938.07
PV= Present value of $10,000, 24 months earlier
$10,000/(1.0075)24
$8358.31
The equivalent single payment is
$10,938.07 + $8358.31 = $19,296.38
Correct Answer: 1276.28
Explanation:
FV = $1000(1.04)(1.045)(1.05)(1.055)(1.06) = $1276.14
the maturity value of the regular GIC is
FV = $ 1000 x = $1276.28
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