An institute organised a fete and $\frac{1}{5}$ of the girls and $\frac{1}{8}$ of the boys participated in the same. What fraction of the total number of students took part in the fete?
(a)$\frac{2}{13}$
(b)$\frac{13}{40}$
(c)Data inadequate
(d)None of these
Answer
Answer (as printed): A
Explanation
Out of 5 girls, 1 took part in fete. Out of 8 boys, 1 took part in fete. ∴ Out of 13 students, 2 took part in fete. Hence, $\frac{2}{13}$ of the total number took part in fete.
Explanation as extracted from the printed page; notation may be imperfect.