Question

In a combined test in Maths and Chemistry; 84% candidates passed in Maths; 76% in Chemistry and 8% failed in both. Find :
if 340 candidates passed in the test; then how many appeared?

Answer 1

Since, candidates passed in Maths = 84%
∵ candidates failed in Maths
= 100% - 84%
= 16%
Again, candidates passed in Chemistry = 76%
∴ Candidates failed in Chemistry
= 100% - 76%
= 24%
Candidates failed in both = 8%
∴ Candidates failed in only Maths
 = 16% - 8%
= 8%
Candidates failed in only Chemistry
 = 24% - 8%
= 16%
Total failed candidates
= 8% + 16% + 8%
= 32%
Passed candidates
= 100% - 32%
= 68%
If passed candidates are 68, then total candidates appeared = 100
If passed candidate is 1 then total candidates appeared = `(100)/(68)`
If passed candidates are 340 total candidates appeared
= `(100)/(68) xx 340`

= `(100 xx 340)/(68)`
= 500