The following bar graph shows the percentage of students from five different colleges who are selected for a maths quiz.

The ratio of the number of students in colleges P, Q, R, S and T is 2 : 4 : 3 : 1 : 3, respectively. If 25 students are selected from college P, then what is the total number of students selected for the quiz?

240

Number of selected students in P = 5% of total students  in P

ATQ,

5% of total students in P  = 25

Total number of students in P = 500

Ratio of the number of students in colleges P, Q, R, S and T is 2 : 4 : 3 : 1 : 3

Total number of students in Q = \(\frac{500 }{2}\) × 4 = 1000

Total number of students in R = \(\frac{500 }{2}\) × 3 = 750

Total number of students in S = \(\frac{500 }{2}\) × 1 = 250

Total number of students in T = \(\frac{500 }{2}\) × 3 = 750

Total number of selected students = \(\frac{5 }{100}\) × 500 + \(\frac{6 }{100}\) × 1000 + \(\frac{10}{100}\) × 750 + \(\frac{8 }{100}\) × 250 + \(\frac{8}{100}\) × 750

= 25 + 60 + 75 + 20 + 60

= 240