The population of a city increases at the rate of 5% annually. If the present population is 185220, what was its population 3 years ago? MCQ with Answer and Explanation

The population of a city increases at the rate of 5% annually. If the present population is 185220, what was its population 3 years ago?
A. 170000
B. 150000
C. 160000
D. 180000
Answer: Option C
Solution (By JKSSB Mock Tests)
Population 3 years ago = 185220 / (1 + 5/100)^3 = 185220 / (21/20)^3 = 185220 * 8000 / 9261 = 20 * 8000 = 160000.

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Practice More Compound Interest Questions

Question #1
In how many years will Rs. 5000 become Rs. 5618 at 6% compound interest?
A. 3 years
B. 1.5 years
C. 2 years
D. 2.5 years

Correct Answer: Option C


Explanation:
5000(1.06)^t = 5618 ⇒ (1.06)^t = 1.1236 = (1.06)² ⇒ t = 2.

This question belongs to: Maths Compound Interest
Question #2
At what rate percent compound interest will Rs. 2400 amount to Rs. 2646 in 2 years?
A. 4%
B. 5%
C. 7%
D. 6%

Correct Answer: Option B


Explanation:
2400(1+r)² = 2646 ⇒ (1+r)² = 1.1025 ⇒ r = 5%.

This question belongs to: Maths Compound Interest
Question #3
If the compound interest on a certain sum for 2 years at 4% per annum is Rs. 102, find the simple interest on the same sum at the same rate for the same period.
A. Rs. 101.50
B. Rs. 101
C. Rs. 100
D. Rs. 98

Correct Answer: Option C


Explanation:
Effective rate of compound interest for 2 years at 4% = 4 + 4 + (44)/100 = 8.16%. Simple interest rate = 4 * 2 = 8%. Given 8.16% of sum = 102, then 8% of sum = (102 / 8.16) * 8 = 12.5 * 8 = Rs. 100.

This question belongs to: Maths Compound Interest