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40% of the people of a certain area suffer from Diabetes, 25% suffer from Epilepsy and 10% suffer from both. What % of the people do not suffer from either of the mentioned diseases?

40% of the people of a certain area suffer from Diabetes, 25% suffer from Epilepsy and 10% suffer from both. What % of the people do not suffer from either of the mentioned diseases? Correct Answer 45%

Given: 

Total people = 100%

People having Diabetes = 40%

People having Epilepsy = 25%

People having both = 10%

Formula used:

n(A or B) = n(A) + n(B) - n(A & B)

Calculation: 

n(D or E) = n(D) + n(E) - n(D & E)

n(D or E) = 40% + 25% - 10%

⇒ 55%

Now the percentage of  people having either Diabetes or Epilepsy = 55%

People having neither Diabetes nor Epilepsy = Total - n(D or E) 

⇒ 100% - 55% = 45%

∴ The required % = 45%

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