The following pie charts represent the distribution of candidates who were enrolled for a competitive examination, and the candidates (out of those enrolled) who passed the exam from five different institutes P, Q, R, S and T.
What is the ratio of the total number of candidates enrolled in institutes Q, R and S together, to the number of candidates passed from the institutes Q, R and S together?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 75 : 44
Total number of candidates enrolled in institutes Q, R and S together = (30 + 12 + 12)% of 7500
⇒ 60% of 7500 = 4500
Total number of candidates passed from the institutes Q, R and S together = (24 + 18 + 24)% of 4000
⇒ 66% of 4000 = 2640
Required ratio = 4500 : 2640
⇒ 225 : 132
⇒ 75 : 44