In an examination, 60% of the candidates passed in English and 70% of the candidates passed in Mathematics, but 20% failed in both subjects. If 2500 candidates passed in both the subjects, the number of candidates who appeared at the examination was :
A. 3000
B. 3500
C. 4000
D. 5000
Answer: Option D
Solution(By Examveda Team)
Candidates failed in English= (100 - 60)%
= 40%
Candidate failed in Mathematics
= (100 - 70)%
= 30%
20% Candidate fail in Both.
Candidate only fail in English = 40 - 20 = 20%
Candidate only fail in Mathematics = 30 - 20 = 10%
Students passed in both subjects
= 100 - (20% Candidate fail in Both + Candidate only fail in English + Candidate only fail in Mathematics)
= 100 - (20 + 20 + 10)
= 50%
50% of students = 2500
Total students = $$\frac{{2500}}{{50}} \times 100$$
= 5000
Related Questions on Percentage
A. $$\frac{1}{4}$$
B. $$\frac{1}{3}$$
C. $$\frac{1}{2}$$
D. $$\frac{2}{3}$$
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