Question

4. In a combined test in Maths and Chemistry,
84% candidates passed in Maths, 76% in
Chemistry and 8% failed in both. Find :
(i) the percentage of failed candidates.
(ii) if 340 candidates passed in the test, then,
how many candidates had appeared in
the test?

please let me know the answer​

Answer 1

Given :

84% candidates passed in Maths.

Failed = 100 - 84 = 16%

76% candidates passed in Chemistry.

Failed = 100 - 76 = 24%

To Find :

1) The Percentage of failed candidates

2) Number of candidates who had appeared in the test if 340 candidates passed in the test.

1) Finding the percentage of failed candidates.

Given : 8% failed in both the subjects.

Candidates failed in only maths = 16 - 8 = 8

Candidates failed in only chemistry = 24 - 8 = 16.

Total failed candidates = 8 + 16 + 8 = 32%.

Hence, 32% of candidates are failed.

________________________________

2) Finding the number of candidates who had appeared in the test :-

Failed percent = 32%

=> 100 - 32 = 68 % (passed)

=> 68% = 340 candidates

=> 100 % = ?

=> (100 x 340)/68

=> 34000/68

=> 500.

Hence, 500 candidates had appeared in the test.

Final Answer:

1) Percentage of failed candidates = 32%

2) Candidates who had appeared in the test = 500