In the Narendra Modi stadium, a live cricket match was happening. 50% audience like Dhoni, 40% audience like Kholi and 20% audience dislike both of them. Find the percentage of the audience who like both.

In the Narendra Modi stadium, a live cricket match was happening. 50% audience like Dhoni, 40% audience like Kholi and 20% audience dislike both of them. Find the percentage of the audience who like both. Correct Answer 10%

Given:

Audience like Dhoni = 50%

Audience like Kholi = 40%

Both dislike = 20%

Formula used:

n(A) + n(B) –  n(A∩B) = n(A∪B)

Calculation:

Let Dhoni be A and Virat is B

Like Kholi and Dhoni both

⇒ 100% – 20%

⇒ 80%

n(A∩B) = X%, n(A) = 50%, n(B) = 40%, n(A∪B) = 80%

Now,

n(A) + n(B) –  n(A∩B) = n(A∪B)

⇒ 50% + 40% – X% = 80%

⇒ x = 90% – 80%

⇒ x = 10%

∴ 10% men likes both Dhoni and virat.

Shortcut Trick

Calculation:

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