What is the maximum percentage of people who can watch all the three channels?
Explanation:
Here, a + b + c + d + e + f + g = 200 ...(i) 80% of the people watch DD implies c + d + f + g = 160 ...(ii) 22% of the people watch BBC implies a + d + e + g = 44 ...(iii) 15% of the people watch CNN implies b + e + f + g = 30 ...(iv) (ii) + (iii) + (iv) gives a + b + c + 2(d + e + f) + 3g = 234 Subtracting (i) from this equation, d + e + f + 2g = 34 ...(v)
To maximize g, in equation (v), we put d = e = f = 0 ∴ Maximum value of g = 342 = 17
∴ Required percentage = 17200 × 100 = 8.5%
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