The population of a town is 189000. It decreases by 8\% in the first year and increases by 5\% in the second year. What is the population of the town at the end of 2 years?
(a)182574
(b)185472
(c)191394
(d)193914
(e)None of these
Answer
Answer (as printed): A
Explanation
Population at the end of 2 years $$\begin{aligned} & =189000\left(1-\frac{8}{100}\right)\left(1+\frac{5}{100}\right)=\left(189000 \times \frac{23}{25} \times \frac{21}{20}\right) \\ & =182574 . \end{aligned}$$
Explanation as extracted from the printed page; notation may be imperfect.