Subject: General Aptitude · Chapter: Ratio and Proportion · Exam: 2015 · Marks: · Difficulty:
4/7th of the boys and 6/11 ${ }^{\text {th }}$ of girls of a school participated in marathon. If the number of participating students is 208 out of which 124 are boys, what is the total, number of students in the school?
(a)359
(b)411
(c)371
(d)377
Answer
Answer (as printed): C
Explanation
Number of students participated in marathon $=208$ Number of boys students participated in marathon $=124$ According to given information $\frac{4}{7}$ th of boys $=124$ Total boys $=\frac{124 \times 7}{4}=217$ Let total number of girls in school be $x$, Number of girls participated in marathon $=208-124=84$ Number of girls $$\begin{aligned} & \therefore \frac{6}{11} \text { of } x=84 \\ & \Rightarrow x=\frac{84 \times 11}{6}=154 \end{aligned}$$ Total students in school $$=217+154=371$$
Explanation as extracted from the printed page; notation may be imperfect.