Total players = 90. Tennis : Badminton = 4 : 5.
[[model:questions/solutions/q10498.png]]
Total units = 4 + 5 = 9 units
• 9 units → 90
• 1 unit → 90 ÷ 9 = 10
• Tennis = 4 units = 4 × 10 = 40
• Badminton = 5 units = 5 × 10 = 50
Now find females in each group:
Tennis — male : female = 3 : 1, so female tennis = \( \frac{1}{4} \) × 40 = 10
Badminton — male : female = 2 : 3, so female badminton = \( \frac{3}{5} \) × 50 = 30
Total female players = 10 + 30 = 40
Check: Male tennis = 30, male badminton = 20. 10 + 30 + 30 + 20 = 90. ✓
Final Answer: 40