Compound Interest problems
- 1. There is 50% increase in an amount in 5 years at simple interest. What will be the compound interest of Rs. 12,000 after 3 years at the same rate ?
Options- A. Rs. 5422
- B. Rs. 5489
- C. Rs. 3972
- D. Rs. 6145 Discuss
Correct Answer: Rs. 3972
Explanation:
Let p = Rs. 100.
Then, S.I is Rs. 50 and time = 5 years.
= 10% p.a.
Now, p = Rs. 12,000 , T = 3 years and R = 10% p.a.
C.I. = Rs.
= Rs. 3972
- 2. Compound interest earned on a sum for the second and the third years are Rs.1200 and Rs.1440 respectively. Find the rate of interest ?
Options- A. 20% p.a
- B. 15% p.a
- C. 18% p.a
- D. 24% p.a Discuss
Correct Answer: 20% p.a
Explanation:
Rs.1440 - 1200 = Rs.240 is the interest on Rs.1200 for one year.
Rate of interest = (100 x 240) / (1200) = 20% p.a
- 3. On a certain principal if the simple interest for two years is Rs 2800 and compound interest for the two years is Rs 2996, what is the rate of Interest?
Options- A. 14 percent
- B. 7 percent
- C. 28 percent
- D. 21 percent Discuss
Correct Answer: 14 percent
- 4. If the difference between the compound interest and the simple interest on a certain sum at the rate of 5% per annum for 2 years is Rs. 20, then the sum is
Options- A. Rs. 2000
- B. Rs. 4000
- C. Rs. 6000
- D. Rs. 8000 Discuss
Correct Answer: Rs. 8000
- 5. Find compound interest on Rs. 7500 at 4% per annum for 2 years, compounded annually
Options- A. Rs.512
- B. Rs.515
- C. Rs.612
- D. Rs.522 Discuss
Correct Answer: Rs.612
Explanation:
Amount
= Rs[7500x(1+4/100)²]
=Rs.(7500 * 26/25 * 26/25)
=Rs.8112
C.I
= Rs(8112 - 7500)
=Rs.612
- 6. In what time will Rs.1000 become Rs.1331 at 10% per annum compounded annually?
Options- A. 2years
- B. 3years
- C. 4years
- D. 5years Discuss
Correct Answer: 3years
Explanation:
Principal = Rs. 1000;
Amount = Rs. 1331;
Rate = 10% p.a.
Let the time be n years.
Then, [ 1000 (1+ (10/100))^n ] = 1331 or (11/10)^n = (1331/1000) = (11/10)^3
n = 3 years
- 7. Determine the nominal rate of interest if: The periodic rate is 1.75% per quarter.
Options- A. 7%
- B. 8%
- C. 9%
- D. 10% Discuss
Correct Answer: 7%
Explanation:
j=mi
- 8. A $1000 face value Series S50 compound interest Canada Savings Bond (CSB) was presented to a credit union branch for redemption.What amount did the owner receive if the redemption was requested on:January 17, 2001?
Options- A. 1206
- B. 1306
- C. 1406
- D. 1506 Discuss
Correct Answer: 1306
Explanation:
I = ptr
Therefore, the total amount the owner received on January 17, 2001 was
$1295.57 + $10.47 = $1306.04
- 9. 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
Correct Answer: 2.5
- 10. 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
Correct Answer: 7%
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