70 of the people like Coffee 80 of the people like Tea then at least what of people like both ........

Quantitative Aptitude ( CCS) Set theory

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70% of the people like Coffee, 80% of the people like Tea; then at least what % of people like both?

50%

60%

75%

55%

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Explanation:

The reason behind this is pretty straight forward. If you consider a total of 100 individuals, 70 of them like coffee. The remaining 30 don’t like coffee. Let us assume that all 30 of these like tea but we still need 50 more people to like tea. Where are those 50 going to come from? They are going to come from the coffee drinkers because there is no one else left. The surplus of 50 needs to be adjusted inside the coffee drinkers. That is the reason that 50% of people like both Tea and Coffee.