In a school, 70 play only hockey. 100 plays only football. 30 plays both the games. 150 do not play anything at all. What is the percentage (rounded to two decimals) of hockey players to total students in the school?
First, calculate the total number of students in the school: Total students = (Only hockey) + (Only football) + (Both) + (Neither) \[ \text{Total} = 70 + 100 + 30 + 150 = 350 \] Next, calculate the total number of hockey players. This includes those who play only hockey and those who play both: \[ \text{Hockey players} = 70 + 30 = 100 \] Find the percentage: \[ \text{Percentage} = \left( \frac{100}{350} \right) \times 100 = \frac{1000}{35} = 28.5714... \% \] Rounded to two decimal places, this is 28.57%.
Reinforce your conceptual grasp with related questions from MAH MCA CET 2026:
Take timed full-length mock tests with authentic question distributions, negative marking (+12/-3 in Math), and instant All India Rank calculation.
Start Free Mock Test Series →