Question : 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?
Option 1: 172
Option 2: 180
Option 3: 240
Option 4: 210
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Correct Answer: 240
Solution : Given: The ratio of the number of students in colleges P, Q, R, S, and T is 2 : 4 : 3 : 1 : 3, respectively. There are 25 selected students from college P. The number of college students selected from college P = 5% = 25 So, 100% = 500 The total number of college students from college P = 500 The total number of college students in college P = $\frac{500}{2}\times 4$ = 1000 The total number of college students in college Q = $\frac{500}{2}\times 3$ = 750 The total number of college students in college R = $\frac{500}{2}\times 1$ = 250 The total number of college students in college S = $\frac{500}{2}\times 3$ = 750 The total number of students selected for the quiz = 5% of 500 + 6% of 1000 + 10% of 750 + 8% of 250 + 8% of 750 = 25 + 60 + 75 + 20 + 60 = 240 students Hence, the correct answer is 240.
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