The table below provides details regarding the number of men and women working at five distinct corporations (V, W, X, Y, and Z), along with the proportion of total personnel (men + women) who received a promotion at each corporation. Review the dataset to answer the question that follows.

Corporation	Men	Women	% of personnel promoted
V	400	350	40%
W	260	100	80%
X	340	410	60%
Y	200	300	80%
Z	240	360	50%

Note: The total staff size at any corporation is the sum of the men and women working there.

If the number of men who received a promotion in Z is equal to the number of men working at Y, and the number of women who received a promotion in X is 60% higher than the number of women promoted in Z, then the number of men who received a promotion in X and Z combined represents what percentage of the total staff at Y?

The correct answer is 98%.

Let us analyze the given table step-by-step to calculate the required percentage.

Step 1: Understand total personnel and promoted staff at each corporation.

Total personnel at Corporation Y = Men at Y + Women at Y

From the table, for Corporation Y:

Men at Y = 200

Women at Y = 300

Total staff at Y = 200 + 300 = 500

For Corporation Z:

Men at Z = 240

Women at Z = 360

Total staff at Z = 240 + 360 = 600

% of personnel promoted at Z = 50%

Total promoted staff at Z = 50% of 600 = 300

For Corporation X:

Men at X = 340

Women at X = 410

Total staff at X = 340 + 410 = 750

% of personnel promoted at X = 60%

Total promoted staff at X = 60% of 750 = 450

Step 2: Calculate promoted men in Corporation Z.

We are given that the number of men who received a promotion in Z is equal to the number of men working at Y.

Men promoted in Z = Men working at Y = 200

Step 3: Calculate promoted women in Corporation Z and Corporation X.

Total promoted staff at Z = Men promoted in Z + Women promoted in Z

300 = 200 + Women promoted in Z

Women promoted in Z = 300 - 200 = 100

We are given that the number of women who received a promotion in X is 60% higher than the number of women promoted in Z.

Women promoted in X = 100 + (60% of 100) = 100 + 60 = 160

Step 4: Calculate promoted men in Corporation X.

Total promoted staff at X = Men promoted in X + Women promoted in X

450 = Men promoted in X + 160

Men promoted in X = 450 - 160 = 290

Step 5: Calculate the combined number of men promoted in X and Z.

Combined promoted men in X and Z = Men promoted in X + Men promoted in Z

Combined promoted men in X and Z = 290 + 200 = 490

Step 6: Express this as a percentage of total staff at Y.

Percentage = ($\frac{490}{500}$) × 100 = 98%

Thus, the number of men who received a promotion in X and Z combined represents 98% of the total staff at Y.