Question

In an examination, 80% examinees passed in English, 0%
passed in Maths. and 150 examinees passed in both the
subjects. If all the examinees passed at least in one subject,
then find out the total number of examinees.​

Answer 1

Correct question:

Your question is incorrect

The correct question is :

In an examination 80% students passed in English and 70% students passed in Maths. 10% students failed in both the subjects. If 144 students passed in both the subjects find the total number of students.

Now, we will find the answer for this question :

$\red{given}$

Students passed in English = 80%

Students passed in Maths = 70%

Students failed in both the subject = 10%

No. of students passed in both the subject = 144

$\green{to \: find}$

The total number of students.

$\pink{solution}$

Students failed in English = 100% - 80% = 20%

Students failed in Maths = 100% - 70% = 30%

Total failed students = Students failed in English + Students failed in failed - Students failed in both.

= 20% + 30% - 10%

= 50% - 10%

= 40%

If 40% failed then 60% will be passed.

Let the total students be x.

Hence, 60% of x = 144

$\pink{ \frac{60}{100} \times x = 144}$

$\pink{x = \frac{144 \times 100}{60} }$

$\pink{x = 240}$

Therefore the total number of students = 240.