Multiple choice

In a company, the average salary of the boy is Rs. 50,000. The average salary of all the employees is Rs. 48,000. There are 80 boys in the company and the average salary of the girl is Rs. 40,000. What is the number of girls working in the company?

  1. 12

  2. 15

  3. 20

  4. 24
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let G be the number of girls. Total employees = 80 + G. Total salary = 50000 * 80 + 40000 * G. Average salary = (4000000 + 40000G) / (80 + G) = 48000. Solving: 4000000 + 40000G = 3840000 + 48000G. 160000 = 8000G, so G = 20.

AI explanation

Using the method of alligation, the ratio of boys to girls is determined by the differences of their averages from the overall average. The difference between the boys' average and the overall average is 50000 minus 48000, which is 20000. The difference between the overall average and the girls' average is 48000 minus 40000, which is 8000. The ratio of boys to girls is therefore 8000 to 20000, or 2 to 5, meaning there are 80 divided by 2 multiplied by 5 girls, which gives 20.

Keep practicing — related questions