Subject: General Aptitude · Chapter: Ratio and Proportion · Exam: · Marks: · Difficulty:
₹ 180 are to be divided among 66 men and women. The ratio of the total amount of money received by men and women is 5 : 4. But the ratio of the money received by each man and woman is 3 : 2. The number of men is
(a)20
(b)24
(c)30
(d)36
Answer
Answer (as printed): C
Explanation
Total money received by men $=₹\left(180 \times \frac{5}{9}\right)=₹ 100$. Total money received by women $=₹\left(180 \times \frac{4}{9}\right)=₹ 80$. Let the number of men be $x$. Then, number of women $=66-x$. Money received by each man $=₹\left(\frac{100}{x}\right)$. Money received by each woman $=₹\left(\frac{80}{66-x}\right)$. $\therefore \frac{100}{x} \times \frac{(66-x)}{80}=\frac{3}{2} \Rightarrow 10(66-x)=12 x$ $\Rightarrow 22 x=660 \Rightarrow x=30$.
Explanation as extracted from the printed page; notation may be imperfect.