Question

If the population growth from 1998 to 2000 was 10 %, what is the ratio of total population in 1998 to the number of people who voted for the party in 2000(approx)?

• A. 125 : 11
• B. 2500 : 231
• C. 1250 : 231
• D. Cannot be determined

Answer 1

The correct option is C

1250 : 231

Let the population in 1998 be 100.
Then population in 2000 is 110.
So number of people who voted for the party in 2000 = 110 $\times$ $\left(\frac{40}{100}\right)$ $\times$ $\left(\frac{60}{100}\right)$ $\times$ $\left(\frac{70}{100}\right)$
So the required ratio is $\frac{100}{110\times \frac{2}{5}\times \frac{3}{5}\times \frac{70}{100}}$ = $\frac{1250}{231}$