In a company, the average salary of the boy is Rs. 50000. The average salary of all the employees is Rs. 48000. There are 80 boys in the company and the average salary of the girl is Rs. 40000. What is the number of girls working in the company?
- 12
- 20
- 15
- 24
The Correct Option is C
Solution and Explanation
To find the number of girls working in the company, let us denote the number of girls as \(G\). We know the following:
- The average salary of the boys is Rs. 50,000.
- The average salary of all employees is Rs. 48,000.
- The average salary of the girls is Rs. 40,000.
- The number of boys, \(B\) = 80.
The total salary for boys can be computed as:
\(50000 \times 80 = 4000000\)
The average salary for all employees is Rs. 48,000. Therefore, the total salary for all employees, given that there are \(80 + G\) employees, is:
\(48000 \times (80 + G)\)
The total salary for girls can be determined by multiplying the number of girls by their average salary:
\(40000 \times G\)
According to the total salary equation for all employees:
\(4000000 + 40000G = 48000 \times (80 + G)\)
Expanding and simplifying:
\(4000000 + 40000G = 48000 \times 80 + 48000G\)
Simplify further:
\(4000000 + 40000G = 3840000 + 48000G\)
Rearrange the equation:
\(40000G - 48000G = 3840000 - 4000000\)
\(-8000G = -160000\)
Solving for \(G\):
\(G = \frac{160000}{8000} = 20\)
Thus, the number of girls working in the company is 20.
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