Answer:
1000
Step-by-step 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% ≡ [tex]\frac{750 \times 20}{15} = 1000[/tex]
Therefore, the number of people who likes winter is 1000. (Answer)
