The population of a village increases at 5% per annum. If the present population is 4410, what was it 2 years ago? MCQ with Answer and Explanation

The population of a village increases at 5% per annum. If the present population is 4410, what was it 2 years ago?

A. 3800

B. 4100

C. 4000

D. 3900

Answer: Option C

Population 2 years ago = 4410 / (1.05)² = 4410 / 1.1025 = 4000.

This question belongs to: Maths Compound Interest

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Question #1 Report Error

In how many years will Rs. 2000 amount to Rs. 2205 at 5% per annum compound interest?

A. 1.5 years

B. 2.5 years

C. 2 years

D. 3 years

Correct Answer: Option C

Explanation:
2000(1.05)^t = 2205 ⇒ (1.05)^t = 1.1025 = (1.05)² ⇒ t = 2.

This question belongs to: Maths Compound Interest

Question #2 Report Error

The simple interest on a sum for 2 years at 6% is Rs. 360. The compound interest for the same period and rate is:

A. Rs. 370.80

B. Rs. 372.00

C. Rs. 375.00

D. Rs. 378.00

Correct Answer: Option A

Explanation:
P = 36000/(6×2) = 3000. CI = 3000[(1.06)² − 1] = 3000 × 0.1236 = Rs. 370.80.

This question belongs to: Maths Compound Interest

Question #3 Report Error

At what rate percent per annum will Rs. 10000 amount to Rs. 11664 in 2 years, compound interest compounded annually?

A. 12%

B. 10%

C. 8%

D. 6%

Correct Answer: Option C

Explanation:
Amount/Principal = 11664 / 10000. Taking square root: sqrt(11664/10000) = 108 / 100 = 1.08. Therefore, 1 + R/100 = 1.08 => R = 8%.

This question belongs to: Maths Compound Interest