Question

In a certain school, 10percent of student have less than 75percent attendance and are not allowed to sit in the exam, but 20percent of the student who have less than 75percent attendance are allowed to sit in the exam. What percent of the students in the school have less than 75percent attendance? ​

Answer 1

Answer:

Answer: Total percent of the students in the school have less than 75% attendance is given by 12.5%.

Step-by-step explanation:

Let the total number of students be 'm'.

Let the number of students having less than 75% attendance be 'n'.

Since we have given that

Percentage of the students having less than 75% attendance and are not allowed to sit in the exam = 10%

Percentage of the students having less than 75% attendance and are allowed to sit in the exam = 20%

So, it means 100%-20%=80% of the students are not allowed to sit in the exam.

According to question,

10% of m = 80% of n

\begin{gathered}\frac{10}{100}\times m=\frac{80}{100}\times n\\\\0.1m=0.8n\\\\\frac{m}{n}=\frac{0.8}{0.1}\\\\\frac{n}{m}=\frac{1}{8}=12.5\%\end{gathered}

100

10

×m=

100

80

×n

0.1m=0.8n

n

m

=

0.1

0.8

m

n

=

8

1

=12.5%

So, total percent of the students in the school have less than 75% attendance is given by \frac{n}{m}=12.5\%

m

n

=12.5%