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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. $60$
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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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