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.
This questions was previously asked in
SSC CGL 18th April 2022 Shift-1
Explanation:
- The average salary of all teachers is ?2,000 per day.
- The average salary of male teachers is ?2,500 per day.
- The average salary of female teachers is ?1,200 per day.
- There are 16 male teachers.
To find the number of female teachers, calculate as follows:
- Total salary of all teachers = Total number of teachers * Average salary = (16 + number of female teachers) * ?2,000
- Total salary of male teachers = 16 * ?2,500
- Total salary of female teachers = (Number of female teachers) * ?1,200
By setting up the equation and solving for the number of female teachers, we get:
\[
16 \times 2500 + \text{Female Teachers} \times 1200 = (16 + \text{Female Teachers}) \times 2000
\]
Solving:
\[
40000 + 1200X = 32000 + 2000X
\]
\[
8000 = 800X
\]
\[
X = 10
\]
- The correct number of female teachers is Option: 2 - 10.
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By: santosh