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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? 

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?  Correct Answer 75 : 44

Calculation:

The total number of candidates enrolled in institutes Q, R and S together = (30% + 12% + 18%) of 7500

⇒ 60% of 7500

⇒ 4500

The 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

⇒ Required ratio is 75 : 44

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