General Aptitude Important Questions - Compound Interest (Download PDF)

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.

1. Rs 3300 
2. Rs 4000
3. Rs 3800
4. 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?

1. Rs 14608.8
2. Rs 14580 
3. Rs 14997.6 
4. 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?

1. Rs. 175
2. Rs. 160
3. Rs. 145
4. 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

1. (D)
2. (B)
3. (C)
4. (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?

1. Rs. 1260
2. Rs. 1986
3. Rs. 19860
4. 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?

1. Rs. 750
2. Rs. 650
3. Rs. 550
4. 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 2^nd year?

1. Rs. 2205
2. Rs. 4305
3. Rs. 2355
4. 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 2^nd year.

1. Rs. 77.56
2. Rs. 77.64
3. Rs. 77.76
4. 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?

1. 25%
2. 30%
3. 45%
4. 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:

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