The number of candidates appearing for the exam from City $C$ is what per cent of the number of candidates appearing for the exam from City $B$ ? (rounded off to nearest integer)
(a)27 \%
(b)34 \%
(c)42 \%
(d)21 \%
(e)38 \%
Answer
Answer (as printed): B
Explanation
Number of candidates from city $C$ $$=(1.08 \times 100000)=108000 .$$ Number of candidates from city $B$ $$=(3.14 \times 100000)=314000 . \begin{aligned} & \text { Required percentage }=\left(\frac{108000}{314000} \times 100\right) \% \\ & \quad=\left(\frac{108}{314} \times 100\right) \%=\left(\frac{54}{157} \times 100\right) \% \\ & \quad=\frac{5400}{157} \%=34.39 \% \simeq 34 \% \end{aligned}$$
Explanation as extracted from the printed page; notation may be imperfect.