Question

On a particular day, $\frac{2}{15}$th of the total number of students in a school were absent. If $1950$ were present on that day, find the total strength of the school.

• A. $1570$
• B. $2250$
• C. $1925$
• D. $2750$

Answer 1

Answer: (B)

$2250$

Let total number of students in the school be $x$
$\therefore$ The number of students absent on particular day $=\frac{2}{15}x$

Number of students present on that day$=x-\frac{2}{15}x=\frac{13}{15}x$
According to question,
$\frac{13}{15}x=1950$
$\Rightarrow x=1950\times \frac{15}{13}=2250$
$\therefore$ Total strength of school$=2250$