In a town, the population increases by 20% during the first year and decreases by 20% during the second year. If the net change in population is a decrease of 400, find the initial population. MCQ with Answer and Explanation

Question

In a town, the population increases by 20% during the first year and decreases by 20% during the second year. If the net change in population is a decrease of 400, find the initial population.

A. 8000

B. 10000

C. 9000

D. 12000

Answer: Option B

Solution (By JKExamLibrary)

Net multiplier = 1.2 × 0.8 = 0.96, decrease 4% = 400 → initial = 400/0.04 = 10000.

This question belongs to: Maths Percentage

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Question #1

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In a class of 60 students, 55% are girls. Number of boys is:

A. 27

B. 30

C. 33

D. 24

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Correct Answer: Option A

Explanation:
45% of 60 = 27 boys.

This question belongs to: Maths Percentage

Question #2

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A trader sells an article at a profit of 20%. Had he bought it at 10% less and sold it for Rs. 30 more, he would have gained 40%. Find the cost price.

A. Rs. 400

B. Rs. 500

C. Rs. 600

D. Rs. 700

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Correct Answer: Option B

Explanation:
CP=x, SP=1.2x. New CP=0.9x, new SP=1.2x+30. Profit 40% on new CP → 1.2x+30 = 1.4×0.9x = 1.26x → 30 = 0.06x → x=500.

This question belongs to: Maths Percentage