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 institutes P, Q, R, S and T.
The total number of candidates who enrolled in institutes P, R and T together is what percentage more than the number of candidates who passed from institutes P, R and T together?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is Option 4 i.e. 87.5%.
Total candidates enrolled in institutes P, R and T = 20% + 12% + 20% = 52%
Total number of candidates enrolled in institutes P, R and T = 52/100 × 7500 = 3,900
Total candidates passing from P, R and T = 18% + 18% + 16% = 52%
Total number of candidates passing from P, R and T = (52/100) × 4000 = 2,080
Difference = 3,900 − 2,080 = 1,820
Difference % = 1820/2080 × 100 = 87.5%