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In an examination, every candidate took Hindi or History or both. 66% took Hindi and 59% took History. The total number of candidates was 3000. How many candidates took both Hindi and History?

In an examination, every candidate took Hindi or History or both. 66% took Hindi and 59% took History. The total number of candidates was 3000. How many candidates took both Hindi and History? Correct Answer 750

Given:

Candidate who took Hindi = 66%

Candidate who took History = 59%

Total number of candidates = 3000

Concept used:

Students who took both = %

Calculation:

Students who took both = %

⇒ 125% – 100% =

⇒ 25%

Now

Now, 100% = 3000

⇒ 25% = 3000 × (25/100) = 750

∴ The number of students who took both Hindi and History is 750

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