In Class 8 of a school, the ratio of students playing cricket to those playing football is 27 : 13, while the ratio of those playing football to those playing hockey is 26 : 14. If the total number of students in Class 8 is 470, and each student plays exactly one game, find the percentage of students of the class playing cricket. [Give your answer correct to two decimal places]
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 57.45%.
The ratio of students playing cricket to those playing football is 27 : 13, while the ratio of those playing football to those playing hockey is 26 : 14.
Thus, the ratio of those playing football to those playing hockey can be written as 13 : 7
The ratio of all playing Cricket, Football and Hockey = 27 : 13 : 7
Total number of students in Class 8 = 470
Let the number of students playing cricket = 27x , football = 13x and Hockey = 7x
Thus, 47x = 470
⇒ x = 10
Percentage of students playing cricket = (270/470) × 100 = 57.45%