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.]

57.45%

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%