Study the given pie charts and answer the question that follows. The pie charts show the distribution of students of graduate and postgraduate levels in five different institutes P, Q, R, S and T in a town.
The difference between the average number of students of graduate level in institutes P, R and T to the average number of students of postgraduate level in institutes P, R and is:
Answer & explanation
Correct answer: option 4
Total number of students in graduate level = 12400
Average number of students of graduate level in P, R and T
= \(\frac{1 }{3}\) × \(\frac{ 25 + 14 + 12 }{100}\) × 12400
= \(\frac{1 }{3}\) × \(\frac{ 51 }{100}\) × 12400
= \(\frac{1 }{3}\) × 6324
= 2108
Total number of students in graduate level = 8000
Average number of students of graduate level in P, R and T
= \(\frac{1 }{3}\) × \(\frac{ 36 + 17 + 10 }{100}\) × 8000
= \(\frac{1 }{3}\) × \(\frac{ 63 }{100}\) × 8000
= \(\frac{1 }{3}\) × 5040
= 1680
Required difference = 2108 - 1680
= 428