Subject: General Aptitude · Chapter: Ratio and Proportion · Exam: 2015 · Marks: · Difficulty:
What is the population of the city A? I. The ratio of the population of males and females in city A is 27 : 23 and the difference between their populations is 100000. II. The population of city A is 80% of that of city B. The difference of population of city A and city B is 312500.
Answer
SELF-PRACTICE — the source book printed no answer.
Nothing is invented here, so this question has no answer on record.
Explanation
Statement I: Let the population of males and females in the city be $27x$ and $23x$ respectively. $$\begin{aligned} & 27x-23x=100000 \\ & 4x=100000 \\ & x=25000 \end{aligned}$$ Population of males in city A $=25000 \times 27=675000$. Population of females in city A $=25000 \times 23=575000$. Total population $=12,50,000$. Statement II: Population of A $=\frac{80}{100}$ of city B. Difference between the population of A and B: $$\begin{aligned} & \Rightarrow B-A=3,12,500 \\ & B \times \frac{20}{100}=3,12,500 \end{aligned}$$ B's population $=15,62,500$. A's population $=12,50,000$. The data in statement I alone or in statement II alone are sufficient to answer the question. Hence statement C is correct.
Explanation as extracted from the printed page; notation may be imperfect.