Question

In a combined test in English and Physics; 36% candidates failed in English; 28% failed in Physics and 12% in both; find : (i) the percentage of passed candidates. (ii) the total number of candidates appeared, if 208 candidates have failed.

Answer 1

Candidates failed only in English
= 36% - 12% = 24%
Candidates failed in Physics
= 28% - 12% = 16%
Candidates failed in both subjects = 12%
Total failed candidates = 24% + 16% + 12%
= 52%
(i) Percentage of passed candidates
= 100% - 52% = 48%
(ii) If failed candidates are 52, then total candidates appeared = 100
If failed candidate is 1, then total candidates appeared = $\frac{100}{52}$
If failed candidate are 208, then total candidates appeared = $\frac{100}{52}\times 208$
= $100\times 4=400$