Question

Rs 180 is to be divided among 66 persons (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 1

Answer: (C)

30

Let the number of men be x.
Then, number of women $=66-x$
Money received by x men $=\frac{5}{(5+4)}\times RS180=RS100$

$\therefore$ Money received by $\displaystyle \left ( 66-x \right )women=\left ( 180-100 \right )=Rs\;80\$

$Given,\frac{100}{x}:\frac{80}{66-x}=3:2\Rightarrow \frac{100}{x}\times \frac{66-x}{80}=\frac{3}{2}\Rightarrow \frac{200}{x}=\frac{240}{66-x}\Rightarrow 240x=13200-200x$

$\Rightarrow 440x=13200\Rightarrow x=\frac{13200}{440}=30$