Compound Interest MCQs

Maths

Compound Interest MCQs

Practice Compound Interest MCQs with answers and detailed explanations. Learn compound interest formulas, annual, half-yearly and quarterly compounding, population growth, depreciation, investment and advanced aptitude questions for competitive examinations.

571
Total Questions

Practice Questions

Page 18 of 29
Question #341
The compound interest on a sum for 2 years at 6% is Rs. 370.80. The sum is:
A. Rs. 3000
B. Rs. 3200
C. Rs. 3400
D. Rs. 2800

Correct Answer: Option A


Explanation:
CI = P × 0.1236 = 370.80 ⇒ P = 3000.

This question belongs to: Maths Compound Interest
Question #342
At what rate percent compound interest will Rs. 5000 amount to Rs. 6050 in 2 years?
A. 10%
B. 8%
C. 9%
D. 12%

Correct Answer: Option A


Explanation:
5000(1+r)² = 6050 ⇒ (1+r)² = 1.21 ⇒ r = 10%.

This question belongs to: Maths Compound Interest
Question #343
The simple interest on a sum for 2 years at 15% is Rs. 600. The compound interest on the same sum for 2 years at 15% is:
A. Rs. 645
B. Rs. 675
C. Rs. 660
D. Rs. 690

Correct Answer: Option A


Explanation:
P = 60000/(15×2) = 2000. CI = 2000[(1.15)² − 1] = 2000 × 0.3225 = 645.

This question belongs to: Maths Compound Interest
Question #344
A sum of money at compound interest amounts to Rs. 16105 in 2 years and Rs. 17715.50 in 3 years. Find the sum.
A. Rs. 12500
B. Rs. 12000
C. Rs. 13000
D. Rs. 13310

Correct Answer: Option D


Explanation:
Rate = (17715.50/16105 − 1) × 100 = 10%. P = 16105 / 1.21 = 13310? 16105/1.21 = 13310 exactly. So answer D 13310.

This question belongs to: Maths Compound Interest
Question #345
The difference between CI and SI on Rs. 6200 for 2 years at 5% is:
A. Rs. 13.50
B. Rs. 16.00
C. Rs. 14.00
D. Rs. 15.50

Correct Answer: Option D


Explanation:
D = 6200 × 0.0025 = Rs. 15.50.

This question belongs to: Maths Compound Interest
Question #346
A sum of money at compound interest becomes 10 times in 2 years. In how many years will it become 100 times?
A. 5 years
B. 4 years
C. 3 years
D. 6 years

Correct Answer: Option B


Explanation:
100 = 10², so 2 × 2 = 4 years.

This question belongs to: Maths Compound Interest
Question #347
The compound interest on Rs. 3900 at 10% per annum for 2 years is:
A. Rs. 819
B. Rs. 780
C. Rs. 858
D. Rs. 897

Correct Answer: Option A


Explanation:
A = 3900 × 1.21 = 4719, CI = 4719 − 3900 = Rs. 819.

This question belongs to: Maths Compound Interest
Question #348
Find the compound interest on Rs. 10800 at 10% per annum for 2 years.
A. Rs. 2160
B. Rs. 2376
C. Rs. 2484
D. Rs. 2268

Correct Answer: Option D


Explanation:
A = 10800 × 1.21 = 13068, CI = 13068 − 10800 = Rs. 2268.

This question belongs to: Maths Compound Interest
Question #349
The effective annual rate of interest for 12% per annum compounded quarterly is:
A. 12.65%
B. 12.60%
C. 12.55%
D. 12.50%

Correct Answer: Option C


Explanation:
Quarterly rate = 3%, (1.03)⁴ = 1.12550881, effective ≈ 12.55%.

This question belongs to: Maths Compound Interest
Question #350
In how many years will Rs. 2500 amount to Rs. 2756.25 at 5% per annum compound interest?
A. 2.5 years
B. 1.5 years
C. 2 years
D. 3 years

Correct Answer: Option C


Explanation:
2500(1.05)^t = 2756.25 ⇒ (1.05)^t = 1.1025 ⇒ t = 2.

This question belongs to: Maths Compound Interest
Question #351
The difference between CI and SI on Rs. 4100 for 2 years at 5% is:
A. Rs. 9.50
B. Rs. 11.00
C. Rs. 10.25
D. Rs. 8.50

Correct Answer: Option C


Explanation:
D = 4100 × 0.0025 = Rs. 10.25.

This question belongs to: Maths Compound Interest
Question #352
A sum of money at compound interest becomes 6 times in 4 years. In how many years will it become 216 times?
A. 16 years
B. 10 years
C. 12 years
D. 8 years

Correct Answer: Option C


Explanation:
216 = 6³, so 4 × 3 = 12 years.

This question belongs to: Maths Compound Interest
Question #353
The compound interest on Rs. 5900 at 10% per annum for 2 years is:
A. Rs. 1357
B. Rs. 1180
C. Rs. 1298
D. Rs. 1239

Correct Answer: Option D


Explanation:
A = 5900 × 1.21 = 7139, CI = 7139 − 5900 = Rs. 1239.

This question belongs to: Maths Compound Interest
Question #354
What sum will amount to Rs. 14520 in 2 years at 10% compound interest?
A. Rs. 11000
B. Rs. 12500
C. Rs. 12000
D. Rs. 11500

Correct Answer: Option C


Explanation:
P = 14520 / 1.21 = 12000.

This question belongs to: Maths Compound Interest
Question #355
The compound interest on a sum for 2 years at 7% is Rs. 434.70. The sum is:
A. Rs. 2800
B. Rs. 3000
C. Rs. 3400
D. Rs. 3200

Correct Answer: Option B


Explanation:
CI = P[(1.07)² − 1] = P × 0.1449 = 434.70 ⇒ P = 3000.

This question belongs to: Maths Compound Interest
Question #356
At what rate percent compound interest will Rs. 8000 amount to Rs. 9680 in 2 years?
A. 8%
B. 12%
C. 9%
D. 10%

Correct Answer: Option D


Explanation:
8000(1+r)² = 9680 ⇒ (1+r)² = 1.21 ⇒ r = 10%.

This question belongs to: Maths Compound Interest
Question #357
The simple interest on a sum for 2 years at 10% is Rs. 1000. The compound interest on the same sum for 2 years at 10% is:
A. Rs. 1100
B. Rs. 1025
C. Rs. 1050
D. Rs. 1000

Correct Answer: Option C


Explanation:
P = 100000/(10×2) = 5000. CI = 5000 × 0.21 = 1050.

This question belongs to: Maths Compound Interest
Question #358
A sum of money amounts to Rs. 10584 in 2 years and Rs. 11113.20 in 3 years at compound interest. Find the sum.
A. Rs. 9000
B. Rs. 9600
C. Rs. 9200
D. Rs. 9400

Correct Answer: Option B


Explanation:
Rate = (11113.20/10584 − 1) × 100 = 5%. P = 10584 / 1.1025 = 9600.

This question belongs to: Maths Compound Interest
Question #359
The difference between CI and SI on Rs. 7700 for 2 years at 10% is:
A. Rs. 77
B. Rs. 70
C. Rs. 74
D. Rs. 80

Correct Answer: Option A


Explanation:
D = 7700 × 0.01 = Rs. 77.

This question belongs to: Maths Compound Interest
Question #360
A sum of money at compound interest becomes 11 times in 2 years. In how many years will it become 121 times?
A. 5 years
B. 3 years
C. 4 years
D. 6 years

Correct Answer: Option C


Explanation:
121 = 11², so 2 × 2 = 4 years.

This question belongs to: Maths Compound Interest