In an examination, 52% candidates failed in English and 42% failed in Mathematics. If 17% of candidates failed in both English and Mathematics, what percentage of candidates passed in both the subjects?

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18%

21%

23%

25%

answer is C.

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Detailed Solution

The correct answer is: 23%.

number of candidates who failed at least one subject = number of candidates failed in English + number of candidates failed in Mathematics − number of candidates failed in both subjects

N u m b e r o f c a n d i d a t e s w h o f a i l e d a t l e a s t o n e s u b j e c t = 52 + 42 − 17 n u m b e r o f c a n d i d a t e s w h o f a i l e d a t l e a s t o n e s u b j e c t = 77

Now,
Assume the total number of students to be 100

Number of candidates passed in both subjects = 100 − 77 Number of candidates passed in both subjects = 23

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