Question

In a survey of a school, it was found that 30% of student failed in Nepali, 27% student failed in English and 15% student failed in both. (a) What percentage of student passed in both subjects? (b) Represent the above information in Venn- diagram.​

Answer 1

(a)

Let X be the percentage of students who passed in both Nepali and English. Then the percentage of students who failed in at least one of the subjects would be:

Percentage of students who failed in Nepali = 30%

Percentage of students who failed in English = 27%

Percentage of students who failed in both subjects = 15%

Therefore, the percentage of students who failed in at least one of the subjects would be:

30% + 27% - 15% = 42%

This means that the percentage of students who passed in both subjects would be:

100% - 42% = 58%

Therefore, 58% of students passed in both Nepali and English.

____________

/ \

/ \

/ NE \

/ \

/____________________\

EN

NE: Nepali

EN: English

The left circle represents Nepali, the right circle represents English, and the overlap represents students who failed in both subjects. The percentage values can be added to each section of the Venn diagram to make it clearer.