A survey shows that 63% of the people watch a News Channel whereas 76% watch another channel. If x% of the people watch both channel, then

Given: 63% of the people watch a News Channel whereas 76% watch another channel

To find: x% of the people watch both channel, then value of x

Let p% and q% of people watch a news channel and another channel respectively

n(p)= 63, n(q) = 76, n(p ∩ q) = x, n(p ∪ q) 100

We know,

n(p ∪ q) n(p) + n(q) – n(p ∩ q)

⇒ 100 63 + 76 – x

⇒ x 139 – 100

⇒ x 39

Now,

n(p ∪ q) n(p) and n(p ∪ q) n(q)

⇒ x 63 and x 76

Hence, 39 x 63