In an annual seminar, three companies A, B, and C are represented by some male and female employees. The average number of female employees representing companies A and B is 420. The total number of male employees representing A and B together is 1620. The number of female employees in A is $720$ and in B is $120$. The number of male employees in A is $480$ and in B is $1140$. The total female employees representing company C are 25\% more than the total female employees representing company A. The total male employees representing company C are 33 more than the total female employees representing company B.

What percent more are the total employees representing company A compared to the total male employees representing company B?

Question

In an annual seminar, three companies A, B, and C are represented by some male and female employees. The average number of female employees representing companies A and B is 420. The total number of male employees representing A and B together is 1620. The number of female employees in A is $720$ and in B is $120$. The number of male employees in A is $480$ and in B is $1140$. The total female employees representing company C are 25\% more than the total female employees representing company A. The total male employees representing company C are 33 more than the total female employees representing company B.

What percent more are the total employees representing company A compared to the total male employees representing company B?

Accepted Answer

**Solution:**

1. Calculate the total employees representing company A:
   - Female employees in A = 720
   - Male employees in A = 480
   - Total employees in A = 720 + 480 = 1200

2. Total male employees representing company B = 1140

3. Find the percentage by which total employees of A exceed male employees of B:
   $$	ext{Percentage increase} = \frac{	ext{Total employees of A} - 	ext{Male employees of B}}{	ext{Male employees of B}} 	imes 100$$

$$= \frac{1200 - 900}{900} 	imes 100 = \frac{300}{900} 	imes 100 = 33 \frac{1}{3} \%$$

**Answer:** $33 \frac{1}{3} \%$

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