Question

A town’s population increases by 10% in the first year and by 20% in the second year. If the population at the end of the second year is 39,600, find the population at the beginning of the first year.

A 30,500 Correct Answer Incorrect Answer
B 20,000 Correct Answer Incorrect Answer
C 30,000 Correct Answer Incorrect Answer
D 10,200 Correct Answer Incorrect Answer

Solution

Overall factor = 1.10 × 1.20 = 1.32 Let initial population = P P × 1.32 = 39,600 P = 39,600 / 1.32 1.32 = 132/100 P = 39,600 × 100 / 132 = 3,960,000 / 132 132 × 30,000 = 3,960,000 So P = 30,000 Answer: Initial population = 30,000.

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