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.]
Answer & explanation
Correct answer: option 3
ATQ,
Cricket : Football : Hockey
54 : 26 : 14
According to question ,
( 54R + 26R + 14R ) = 470
94R = 470
1R = 5
Number of cricketer player = 54 × 5 = 270
Required percentage = \(\frac{270}{470}\) × 100
= 57.446%
= 57.45%