Subject: General Aptitude · Chapter: Ratio and Proportion · Exam: 2009 · Marks: · Difficulty:
In a college the students in Arts and Commerce faculties were in the ratio of 4 : 5 respectively. When 65 more students joined Commerce faculty the ratio becomes 8 : 11 respectively. How many students are there in Arts faculty?
(a)520
(b)650
(c)715
(d)Cannot be determined
(e)None of these
Answer
Answer (as printed): A
Explanation
Let the number of students in Arts and Commerce faculties be $4 x$ and $5 x$ respectively. Then, $\frac{4 x}{5 x+65}=\frac{8}{11} \Rightarrow 44 x=8(5 x+65)$ $$\Rightarrow 4 x=520 \Rightarrow x=130 .$$ ∴ Number of students in Arts faculty $$=(4 \times 130)=520 .$$
Explanation as extracted from the printed page; notation may be imperfect.