Tick (✓) the correct answer


Tick (✓) the correct answer:

The annual rate of growth in population of a town is 10%. If its present population is 33275, what was it 3 years ago?

(a) 25000

(b) 27500

(c) 30000

(d) 26000


(a) 25000

Let $P$ be the popultion 3 years ago.

Now, present population $=33275$

$\Rightarrow 33275=P \times\left(1+\frac{10}{100}\right)^{3}$

$\Rightarrow 33275=P \times\left(\frac{110}{100}\right)^{3}$

$\Rightarrow 33275=P \times\left(\frac{11}{10}\right) \times\left(\frac{11}{10}\right) \times\left(\frac{11}{10}\right)$

$\Rightarrow 33275=\frac{1331 P}{1000}$

$\therefore P=\frac{33275 \times 1000}{1331}=25000$



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