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Question:

As a result of a decisions to allow only two or three telecom operator in a particular service area, TRAI allocates R-Com and Vodafone to operate only in the east of India and Idea and Airtel operate only in south. R-Com has got 28% subscribers in the east while Vodafone has 72% subscribers; similarly Idea has 48% subscribers in the south while Airtel has 52% subscribers. How many subscribers do these four players have in 2010?

Explanation:

Since R-com has 28% subscribers in the east and Vodafone has 72% subscribers in the east, these two are the only operators in the east.

Similarly, Idea and Airtel are the only players in the south.

Now, Karnataka, Andhra Pradesh, TN (including Chennai) and Kerala are in the south. 

Hence, the number of subscribers in the south in 2010 = 39.91 + 48.09 + 57.26 + 27.65 = 172.91 million

Now, Idea has 48 % of these subscribers.

Hence, the number of subscribers that Idea had in the south = 172.91 × 0.48 = 82.99 million

Similarly, the number of subscribers that Airtel had in the south = 172.91 × 0.52 = 89.91 million

Only option D shows these values for Idea and Airtel. 

Hence, option (d).

Alternatively,

As R-com has 28% and Vodafone has 72% of the subscribers in the east, the number of subscribers for R-com and Vodafone mentioned in the options must satisfy this condition. i.e. the number of subscribers mentioned for R-com must be 28% of the sum of number of subscribers mentioned for R-com and Vodafone in that option. 

Only option 4 satisfies this condition.

Hence, option (d).