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)`

= `8500/17`

= 500

Hence, total number of candidates appeared = 500.