If 5% of people watched DD and CNN, 10% watched DD and BBC, then what percentage of people watched BBC and CNN only?
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)
5% of people watch DD and CNN implies f + g = 10 ...(vi) 10% of people watch DD and BBC implies d + g = 20 ...(vii) (v) – (vi) – (vii) gives e = 4 ∴ Required percentage = 4200 × 100 = 2%
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