In an examination, every candidate took Physics or Mathematics or both. 65.8% took Physics and 59.2% took Mathematics. The total number of candidates was 2000. How many took Mathematics and Physics.
(A) 550
(C) 450 (B) 500
(D) cannot be determined
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Answer:
Step-by-step explanation:
Let x% candidates take both the subjects.
Percentage of candidates who opted Physics = 65.8%
and percentage of candidates who opted Mathematics = 59.2%
∴ x = (65.8 + 59.2 - 100)% = (125 - 100)% = 25%
Also, total number of candidates = 2000
∴ Number of candidates who opted both the subjects
= 25 x 2000/100 = 500
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