The population of a small community grows by 10% in the first year and decreases by 10% in the second year. If the population at the end of 2 years is 39600, find the original population. MCQ with Answer and Explanation

The population of a small community grows by 10% in the first year and decreases by 10% in the second year. If the population at the end of 2 years is 39600, find the original population.
A. Rs. 38000
B. Rs. 40000
C. Rs. 44000
D. Rs. 42000
Answer: Option B
Solution (By JKExamLibrary)
Net change over 2 years = +10 - 10 - (1010)/100 = -1% (decrease). So, 99% of original population = 39600 => Original population = 39600 / 0.99 = 40000.

This question belongs to: Maths Compound Interest

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Practice More Compound Interest Questions

Question #1 Report Error
What is the compound interest on Rs. 40000 for 1 year at 10% per annum, compounded quarterly?
A. Rs. 4310.13
B. Rs. 4000.00
C. Rs. 4152.51
D. Rs. 4200.00

Correct Answer: Option C


Explanation:
Quarterly rate = 10/4 = 2.5%. Time = 4 quarters. Amount = 40000 * (1 + 2.5/100)^4 = 40000 * (1.025)^4 = 40000 * 1.10381289 = Rs. 44152.51. Compound Interest = 44152.51 - 40000 = Rs. 4152.51.

This question belongs to: Maths Compound Interest
Question #2 Report Error
At what rate percent per annum will Rs. 20000 amount to Rs. 24200 in 2 years, compound interest compounded annually?
A. 14%
B. 8%
C. 12%
D. 10%

Correct Answer: Option D


Explanation:
Amount/Principal = 24200 / 20000 = 121 / 100 = (11 / 10)^2. Therefore, 1 + R/100 = 11/10 => R/100 = 1/10 => R = 10%.

This question belongs to: Maths Compound Interest
Question #3 Report Error
The difference between CI and SI on Rs. 4200 for 2 years at 5% is:
A. Rs. 10.50
B. Rs. 9.00
C. Rs. 8.40
D. Rs. 12.00

Correct Answer: Option A


Explanation:
D = 4200 × 0.0025 = Rs. 10.50.

This question belongs to: Maths Compound Interest