Most Important Questions On Compound Interest (Download PDF)
1. A certain sum borrowed and paid in two annual instalments of Rs. 2227 and Rs. 2023 respectively. If the rate of compound interest is 19% per annum, then find the sum borrowed.
- Rs 3300
- Rs 4000
- Rs 3800
- Rs 4200
2. Arun saves Rs. 4500 at the end of each year and invests at a compound interest rate of 8% per annum. How much amount will he have at end of 3 years?
- Rs 14608.8
- Rs 14580
- Rs 14997.6
- Rs 13500
3. The difference of compound interest and simple interest for 3 years and for 2 years are in ratio 19: 6. Find the rate of interest per annum (in %).
4. The difference between compound interest and simple interest on a sum for 2 years at 20% per annum, when it is compounded annually is Rs. 64. If the interest is compounded half-yearly, then the difference in two interests would be how much approximately?
- Rs. 175
- Rs. 160
- Rs. 145
- Rs. 154
5. If the difference between the compound interest and simple interest at on a certain sum at the rate of 5% per annum for 2 years is Rs. 225, find the principle.
A. Rs. 75,000
B. Rs. 80,000
C. Rs. 85,000
D. Rs. 90,000
- (D)
- (B)
- (C)
- (A)
6. There is a 40% increase in an amount in 4 years at simple interest. What will be the compound interest on Rs. 6000 after 3 years at the same rate?
- Rs. 1260
- Rs. 1986
- Rs. 19860
- Rs. 7986
7. What is the difference between the maturity values, if Rs. 12,500 is invested for 2 years at 20% per annum simple interest and compound interest?
- Rs. 750
- Rs. 650
- Rs. 550
- Rs. 500
8. A woman invests Rs. 2000 at the start of each year at 5% compound interest per annum. How much will her investments be at the end of the 2nd year?
- Rs. 2205
- Rs. 4305
- Rs. 2355
- Rs. 4350
9. An amount is deposited at 8% p.a. compound interest. If the first-year interest is Rs. 72, find the interest amount for the 2nd year.
- Rs. 77.56
- Rs. 77.64
- Rs. 77.76
- Rs. 85.77
10. If the amount is 2.25 times of the sum after 2 years at compound interest (compound annually) then calculate the rate of interest per annum?
- 25%
- 30%
- 45%
- 50%
SOLUTIONS
Solution 1 -
We know that:
If each instalment is I1 and I2,
Then, Total sum =
Now, according to question,
The total sum borrowed =
= 1871.43 + 1428.57
= 3300 Rs.
Therefore, the total sum which was borrowed = 3300 Rs.
Alternate method:
For the second year, principal =
= 1871.43 + 1428.57
= 3300 Rs.
Therefore, total sum which was borrowed = 3300 Rs.
Alternate method:
For the second year, principal =
Therefore, total sum which was borrowed = 3300 Rs.
Solution 2 -
We know that:
Solution 3 -
Solution 4 -
As we know that Difference(d)= (p×r2)/10000 for 2-year period.
∴ (p×102)/10000 = 64
⇒ p = Rs. 6400
For half-yearly, r=20/2 =10% and t=2×2 = 4 year
∴ ATQ,
= [6400{1+(10/100)4} – 6400]- [6400{1+(20/100)}2 – 6400]
= {6400*(14641/10000)- 6400} - {6400*(36/25)- 6400}
= (234256/25) - (64×36×4)
= 9370.24 – 9216 = Rs. 154 (approx.)
Solution 5 -
Let the principle =100
%Rate=5%
CI -SI= 0.25=225(Given)
Then 1=900 & 100= 90,000 = Required principle
Solution 6:
Solution 7:
Solution 8:
Solution 9:
Interest for the second year = 72 + 8% of 72 = Rs 77.76
Solution 10:
Download Important Questions on Compound Interest - Download PDF Here
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