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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?

1. $40$
2. $45$
3. $50$
4. $60$

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%

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