There are 540 students in a school. One-third of them are girls. Three-fifth of the number of boys are players and one-fourth of the girls are players. Total number of players in the school is

Correct option is D

Given
Total students = 540
Girls $$= \frac{1}{3}$$​ of total students
Boy players $$= \frac{3}{5}$$​ of total boys
Girl players $$= \frac{1}{4}$$​ of total girls

Formula Used
Total players = Boy players + Girl players

Solution
Number of girls $$= 540 × \frac{1}{3} = 180$$​​

Number of boys = 540 - 180 = 360

Number of boy players $$= 360 × \frac{3}{5} = 216$$​​

Number of girl players $$= 180 × \frac{1}{4} = 45$$​​

Total number of players = 216 + 45 = 261

So the correct answer is (d)