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Percentages · Question 67 of 72

Question 67

MediumOriginal question

A village's population grew from 62,500 to 72,900 in two years, at the same rate each year. What was the annual rate of growth?

Options for question 67

Show the answer and explanation
CorrectNot quiteAnswer A

Correct answer: A

Explanation

  1. Growth factor over 2 years = 7290062500=1.1664\frac{72900}{62500} = 1.1664.

  2. 1.1664=1.0821.1664 = 1.08^2, so the yearly factor is 1.08.

  3. Annual rate = 8%.

Worth noting

16.64% is the total growth over two years; halving it (8.32%) treats the growth as simple. Compound growth needs the square root of the factor.

Concept
Finding the annual rate of compound growth
Typical time
75 s
Your time
—
The rule this testsPopulation growth and depreciation
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Ten questions from Percentages, at your own pace.

Practise this chapter →

Ten questions from Percentages, at your own pace.