Question

In an examination 70% of the candidates passed in Bengali and 80% in English and
65% in both the subjects. Find the percentage of those who failed in both subjects. If
300 candidates failed in both the subjects, find out the total number of candidates who
appeared at the examination.

Answer 1

Explanation:

there were 500 candidates

Answer 2

Given: 70% of the candidates passed in Bengali and 80% in English and

65% in both the subjects. 300 candidates failed in both subjects.

To find: Find the percentage of those who failed in both subjects and the total number of candidates who appeared.

Solution:

The percentage that passed in Bengali=B= 70%

The percentage that passed in English= E= 80%

The percentage that passed in both = B∩E = 65%

The percentage that either passed= B union E= B+E- B∩E

B union E = 70+80-65= 85%

Therefore, the percentage that failed in both = 100-85= 15%

Let the total number of people who appeared for the examination be n so it will be 15/100 into n= 300

n= 2000

The percentage that failed in both the subjects= 15%

The total number of people who appeared will be 2000.