Question

Captown is the capital city of maltania. if the population of captown is 25 percent of the rest of the population of maltania, then the population of captown is what percent of the entire population of maltania?

Answer 1

Answer:

The population of Captown is 20 % of the entire population of Maltania.

Step-by-step explanation:

Let x be the population of Captown and y be the population of the Maltania,

So, the rest of the population of Maltania = y - x,

According to the question,

x is the 25% of (y-x)

$\implies \frac{x}{y-x}\times 100 = 25$

$\frac{x}{y-x}=\frac{25}{100}=\frac{1}{4}$

$4x=y-x$

$5x=y$

$\because \frac{x}{y}\times 100$

$=\frac{x}{5x}\times 100$

$=\frac{100}{5}$

$=20\%$

Hence, the population of Captown is 20 % of the entire population of Maltania.

Answer 2

You can just overall divide 100 from 25 to get a percentage because you're trying to find the percentage of captown only but per se if you were to find various cities in Maltania than you can just divide 100 by the percent of the population.