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.

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Question #321
Find the compound interest on Rs. 14400 at 5% per annum for 2 years.
A. Rs. 1476
B. Rs. 1548
C. Rs. 1512
D. Rs. 1440

Correct Answer: Option A


Explanation:
A = 14400 × 1.1025 = 15876, CI = 15876 − 14400 = Rs. 1476.

This question belongs to: Maths Compound Interest
Question #322
The effective annual rate for 15% per annum compounded half-yearly is:
A. 15.25%
B. 15.56%
C. 15.50%
D. 15.75%

Correct Answer: Option B


Explanation:
Half-yearly rate 7.5%, (1.075)² = 1.155625, effective = 15.5625% ≈ 15.56%.

This question belongs to: Maths Compound Interest
Question #323
In how many years will Rs. 10000 amount to Rs. 13310 at 10% per annum compound interest?
A. 2.5 years
B. 2 years
C. 3 years
D. 3.5 years

Correct Answer: Option C


Explanation:
10000(1.1)^t = 13310 ⇒ (1.1)^t = 1.331 = (1.1)³ ⇒ t = 3.

This question belongs to: Maths Compound Interest
Question #324
The difference between CI and SI on Rs. 8400 for 2 years at 5% is:
A. Rs. 19
B. Rs. 20
C. Rs. 21
D. Rs. 18

Correct Answer: Option C


Explanation:
D = 8400 × 0.0025 = Rs. 21.

This question belongs to: Maths Compound Interest
Question #325
A sum of money at compound interest doubles in 15 years. In how many years will it become 128 times?
A. 105 years
B. 90 years
C. 120 years
D. 75 years

Correct Answer: Option A


Explanation:
128 = 2⁷, so 15 × 7 = 105 years.

This question belongs to: Maths Compound Interest
Question #326
The compound interest on Rs. 1700 at 10% per annum for 2 years is:
A. Rs. 340
B. Rs. 357
C. Rs. 374
D. Rs. 391

Correct Answer: Option B


Explanation:
A = 1700 × 1.21 = 2057, CI = 2057 − 1700 = Rs. 357.

This question belongs to: Maths Compound Interest
Question #327
What sum will amount to Rs. 1331 in 3 years at 10% compound interest?
A. Rs. 900
B. Rs. 1200
C. Rs. 1000
D. Rs. 1100

Correct Answer: Option C


Explanation:
P = 1331 / 1.331 = 1000.

This question belongs to: Maths Compound Interest
Question #328
The compound interest on a sum for 1 year at 12% per annum compounded half-yearly is Rs. 618. The sum is:
A. Rs. 4500
B. Rs. 5200
C. Rs. 4800
D. Rs. 5000

Correct Answer: Option D


Explanation:
CI = P[(1.06)² − 1] = 0.1236P = 618 ⇒ P = 5000.

This question belongs to: Maths Compound Interest
Question #329
The simple interest on a sum for 3 years at 10% is Rs. 900. The compound interest on the same sum for 2 years at 10% is:
A. Rs. 600
B. Rs. 630
C. Rs. 690
D. Rs. 660

Correct Answer: Option B


Explanation:
P = 90000/(10×3) = 3000. CI = 3000 × 0.21 = 630.

This question belongs to: Maths Compound Interest
Question #330
A sum of money at compound interest amounts to Rs. 18150 in 2 years and Rs. 19965 in 3 years. Find the sum.
A. Rs. 14000
B. Rs. 17000
C. Rs. 15000
D. Rs. 16000

Correct Answer: Option C


Explanation:
Rate = (19965/18150 − 1) × 100 = 10%. P = 18150 / 1.21 = 15000.

This question belongs to: Maths Compound Interest
Question #331
The difference between CI and SI on Rs. 9600 for 2 years at 5% is:
A. Rs. 24
B. Rs. 22
C. Rs. 20
D. Rs. 26

Correct Answer: Option A


Explanation:
D = 9600 × 0.0025 = Rs. 24.

This question belongs to: Maths Compound Interest
Question #332
A sum of money at compound interest becomes 5 times in 5 years. In how many years will it become 125 times?
A. 10 years
B. 20 years
C. 15 years
D. 12 years

Correct Answer: Option C


Explanation:
125 = 5³, so 5 × 3 = 15 years.

This question belongs to: Maths Compound Interest
Question #333
The compound interest on Rs. 2600 at 10% per annum for 2 years is:
A. Rs. 572
B. Rs. 546
C. Rs. 598
D. Rs. 520

Correct Answer: Option B


Explanation:
A = 2600 × 1.21 = 3146, CI = 3146 − 2600 = Rs. 546.

This question belongs to: Maths Compound Interest
Question #334
Find the compound interest on Rs. 500 at 10% per annum for 2 years.
A. Rs. 110
B. Rs. 105
C. Rs. 115
D. Rs. 100

Correct Answer: Option B


Explanation:
A = 500 × 1.21 = 605, CI = 605 − 500 = Rs. 105.

This question belongs to: Maths Compound Interest
Question #335
The effective annual rate for 20% per annum compounded half-yearly is:
A. 20.5%
B. 21.5%
C. 22%
D. 21%

Correct Answer: Option D


Explanation:
Half-yearly rate 10%, (1.1)² = 1.21, effective = 21%.

This question belongs to: Maths Compound Interest
Question #336
In how many years will Rs. 4000 amount to Rs. 4410 at 5% per annum compound interest?
A. 1 year
B. 2.5 years
C. 1.5 years
D. 2 years

Correct Answer: Option D


Explanation:
4000(1.05)^t = 4410 ⇒ (1.05)^t = 1.1025 ⇒ t = 2.

This question belongs to: Maths Compound Interest
Question #337
The difference between CI and SI on Rs. 1100 for 2 years at 10% is:
A. Rs. 11
B. Rs. 13
C. Rs. 10
D. Rs. 12

Correct Answer: Option A


Explanation:
D = 1100 × 0.01 = Rs. 11.

This question belongs to: Maths Compound Interest
Question #338
A sum of money at compound interest quadruples in 2 years. In how many years will it become 16 times?
A. 5 years
B. 3 years
C. 6 years
D. 4 years

Correct Answer: Option D


Explanation:
16 = 4², so 2 × 2 = 4 years.

This question belongs to: Maths Compound Interest
Question #339
The compound interest on Rs. 4300 at 10% per annum for 2 years is:
A. Rs. 860
B. Rs. 903
C. Rs. 989
D. Rs. 946

Correct Answer: Option B


Explanation:
A = 4300 × 1.21 = 5203, CI = 5203 − 4300 = Rs. 903.

This question belongs to: Maths Compound Interest
Question #340
What sum will amount to Rs. 2315.25 in 3 years at 5% compound interest?
A. Rs. 1800
B. Rs. 2100
C. Rs. 2000
D. Rs. 1900

Correct Answer: Option C


Explanation:
P = 2315.25 / (1.05)³ = 2315.25 / 1.157625 = 2000.

This question belongs to: Maths Compound Interest