The following table shows the total number of employees in four different colleges and the percentage of female employees and that of male employees. Study the table carefully and answer the question that follows.

College	Total Number of Employees	Percentage of Female Employees	Percentage of Male Employees
A	700	35%	65%
B	550	30%	70%
C	600	40%	60%
D	800	55%	45%

The number of females in colleges A and D together is what percentage of the number of males in colleges B and C together? (Rounded off to two decimal places)

The correct answer is 91.95%.

We need to find: what percentage are the females in colleges A and D combined of the males in colleges B and C combined.

Step 1: Find the number of female employees in College A and College D.

From the table:

College A → Total = 700, Female % = 35%
Females in A = 35% of 700 = $\frac{35}{100}\times 700=245$

College D → Total = 800, Female % = 55%
Females in D = 55% of 800 = $\frac{55}{100}\times 800=440$

Total Females in A and D = 245 + 440 = 685

Step 2: Find the number of male employees in College B and College C.

From the table:

College B → Total = 550, Male % = 70%
Males in B = 70% of 550 = $\frac{70}{100}\times 550=385$

College C → Total = 600, Male % = 60%
Males in C = 60% of 600 = $\frac{60}{100}\times 600=360$

Total Males in B and C = 385 + 360 = 745

Step 3: Calculate the required percentage.

Required % = $\frac{\text{Females in A and D}}{\text{Males in B and C}}\times 100$

Required % = $\frac{685}{745}\times 100$

= $\mathrm{0.91946...}\times 100$ = 91.9463...%

Step 4: Round off to two decimal places.

91.9463...% ≈ 91.95%

Therefore, the number of females in colleges A and D together is 91.95% of the number of males in colleges B and C together.