Question

. in a survey of community it was found that 55% likes summer 20% like winter 40% dont like both seasons and 750like both season. find number of people who likes winter.​

Answer 1

1000

Explanation:

In a survey of the community, it was found that 55% likes Summer, 20% likes Winter and 40% don't like both seasons.

If x% likes both the seasons, then (55 - x)% like only Summer and (20 - x)% like only Winter.

So, the % of people who line Summer or Winter or both is [(55 - x) + (20 - x) + x] = (75 - x)%.

Therefore, the % of people that do not like both the seasons = 100 - 75 + x = (25 + x)%.

So, 25 + x = 40

⇒ x = 15%

Hence, 15% ≡ 750

⇒ 20% ≡
`(750 * 20)/(15) = 1000`

Therefore, the number of people who likes winter is 1000. (Answer)