Instructions

Study the following graph to answer these questions.

The following table shows the subscriber base of six Direct to Home (DTH)TV service companies with respect to some popular channels aired by them.

Screenshot_65

Question 142

Two-fifth of the viewers of channel V of A shifted to channel V of B and E; $$\frac{2}{3}$$ of these to B and the remaining to E. One-fourth of viewer of channel V of C have now started watching channel V of D and F; $$\frac{3}{7}$$ of it D and the rest F. In the new distribution, which of the companies has maximum viewers for channel V?

Solution
Screenshot from 2025-02-05 09-34-11

It is given that Two-fifth of the viewers of channel V of A shifted to channel V of B and E.

Two-fifth of the viewers of channel V of A = 0.4*2.13 = 0.852 crore

$$\frac{2}{3}$$ of these to B and the remaining to E

B = 0.852*2/3 = 0.568 crore

E = 0.284 crore

Remaining viewers of channel V of A = 2.13-0.852 = 1.278 crore

Screenshot from 2025-02-05 09-40-07

One-fourth of viewer of channel V of C have now started watching channel V of D and F.

One-fourth of viewer of channel V of C = 0.25*1.89 = 0.4725 crore

$$\frac{3}{7}$$ of it D and the rest F

D = 0.4725*3/7 = 0.2025 crore

F = 0.4725*4/7 = 0.27 crore

Remaining viewers of channel V of C = 1.89-0.4725 = 1.4175 crore

Screenshot from 2025-02-05 09-46-41

In the new distribution, the company that has the maximum number of viewers for channel V is company C.


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