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?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 240.
Calculations:
The number of students in colleges P, Q, R, S, and T be 200x, 400x, 300x, 100x, 300x
Selected students from P = 5% of 200x = 10x
Selected students from Q = 6% of 400x = 24x
Selected students from R = 10% pof 300x = 30x
Selected students from S = 8% of 100x = 8x
Selected students from T = 8% of 300x = 24x
We know that,
⇒ 10x = 25
⇒ x = 2.5
The total number of students selected for the quiz = 96x
⇒ 96 × 2.5
⇒ 240