The average salary of the entire teaching staff in a college is ₹2,000 per day. The average
salary of the male teachers is ₹2,500 and that of the female teachers is ₹1,200. If the
number of male teachers is 16, then find the number of female teachers in the college.
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 10
Let us consider Male = M, Female = F.
The average salary of the entire teaching staff in a college is 72,000 per day → (M +
F) × 2000
The average salary of the male teachers is 72,500 → 2500M
The average salary of the Female teachers is $1,200 → 1200F
If the number of male teachers = 16
The total salary of the male teachers = 16 × 2500
The total salary of the male teachers = 40000
→ The total salary of the entire teaching staff in a college = The total salary of the male teachers + The total salary of the Female teachers
→ (M + F) × 2000 = 40000 + 1200F
As male teachers (M) = 16
= (16+ F) x 2000 = 40000+ 1200F
→ (16 + F) x 20 = 400 + 12F
→ 320 + 20F = 400 + 12F
→ 8F = 80
→ F = 10
:. Here, the number of female teachers in college is 10.
Hence, the correct answer is '10'.