CAT 2014 | Question: 40

Question

Directions for Questions:

Answer the following questions based on the information from an airline about their passengers (pax) in particular sectors is given below: The proportion of males and the proportion of vegetarian pax are given below. The airline has a total of $800$ passengers, $80$% of whom are in the Mumbai - Delhi sector and rest are equally divided between Mumbai - Hyderabad and Mumbai - Bangalore. 

Sector	Male(M)	Vegetarian (V)
Mumbai - Bangalore	$0.6$
Mumbai - Hyderabad	$0.55$	$0.5$
Mumbai - Delhi sector		$0.55$
Total	$0.475$	$0.53$

What is the percentage of vegetarian pax in Mumbai - Bangalore?

• A. $40$
• B. $45$ 
• C. $50$
• D. $60$

Answer 1

Since 80% are in M-B and rest 20% are uniformly divided i.e. 10% in M-D and 10% in M-H,

0.53 = 0.8*0.55 + 0.1*0.5 + x*0.1

$\Rightarrow$ x = 0.4 = 40%