GRE Prep Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Captown is the capital city of Maltania. If the population of
[#permalink]
21 Dec 2025, 16:11
21 Dec 2025, 16:11
Expert Reply
00:00
Question Stats:
100% (01:12) correct
0% (00:00) wrong based on 5 sessions
Hide Show timer Statistics
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?
A. 6.25
B. 10
C. 12.5
D. 20
E. 25
A. 6.25
B. 10
C. 12.5
D. 20
E. 25
- Part of the project: GRE Daily Quant Challenge - Topic-Wise 2025!!!
- Also replying to the unanswered questions
Re: Captown is the capital city of Maltania. If the population of
[#permalink]
03 Jan 2026, 04:36
03 Jan 2026, 04:36
Expert Reply
Let $C$ be the population of Captown, and $R$ be the rest of the population of Maltania. The entire population of Maltania, $M$, is $M=C+R$.
1. Set up the relationship between $C$ and $R$
The problem states that the population of Captown $(C)$ is 25 percent of the rest of the population $(R)$.
$$
\(\begin{gathered}
C=25 \% \times R \\
C=0.25 R \\
C=\frac{1}{4} R
\end{gathered}\)
$$
From this, we can express the rest of the population ( $R$ ) in terms of Captown's population ( $C$ ):
$$
\(R=4 C\)
$$
2. Find the total population ( $M$ ) in terms of $C$
The entire population ( $M$ ) is the sum of Captown's population and the rest of the population:
$$
\(M=C+R\)
$$
Substitute $R=4 C$ into the equation:
$$
\(\begin{gathered}
M=C+4 C \\
M=5 C
\end{gathered}\)
$$
3. Calculate the percentage
The question asks for the population of Captown ( $C$ ) as a percent of the entire population ( $M$ ):
$$
\(\text { Percent }=\frac{C}{M} \times 100\)
$$
Substitute $M=5 C$ :
$$
\(\begin{gathered}
\text { Percent }=\frac{C}{5 C} \times 100 \\
\text { Percent }=\frac{1}{5} \times 100 \\
\text { Percent }=20 \%
\end{gathered}\)
$$
The population of Captown is $\(\mathbf{2 0}\)$ percent of the entire population of Maltania.
The correct option is $\(\mathbf{D}\)$.
1. Set up the relationship between $C$ and $R$
The problem states that the population of Captown $(C)$ is 25 percent of the rest of the population $(R)$.
$$
\(\begin{gathered}
C=25 \% \times R \\
C=0.25 R \\
C=\frac{1}{4} R
\end{gathered}\)
$$
From this, we can express the rest of the population ( $R$ ) in terms of Captown's population ( $C$ ):
$$
\(R=4 C\)
$$
2. Find the total population ( $M$ ) in terms of $C$
The entire population ( $M$ ) is the sum of Captown's population and the rest of the population:
$$
\(M=C+R\)
$$
Substitute $R=4 C$ into the equation:
$$
\(\begin{gathered}
M=C+4 C \\
M=5 C
\end{gathered}\)
$$
3. Calculate the percentage
The question asks for the population of Captown ( $C$ ) as a percent of the entire population ( $M$ ):
$$
\(\text { Percent }=\frac{C}{M} \times 100\)
$$
Substitute $M=5 C$ :
$$
\(\begin{gathered}
\text { Percent }=\frac{C}{5 C} \times 100 \\
\text { Percent }=\frac{1}{5} \times 100 \\
\text { Percent }=20 \%
\end{gathered}\)
$$
The population of Captown is $\(\mathbf{2 0}\)$ percent of the entire population of Maltania.
The correct option is $\(\mathbf{D}\)$.
gmatclubot
Re: Captown is the capital city of Maltania. If the population of [#permalink]
03 Jan 2026, 04:36
Moderators:
