Great question! Let me walk you through how to approach this step by step.
The statement reads: 'The ___ Division in ___ had the largest share of total profit in any given year.'
The key phrase here is 'largest share of total profit.' This does NOT mean the highest raw profit — it means the highest percentage of that year's total profit. This is the most
common trap in this type of question.
Here is the approach:
Step 1: For each year (
2014–
2018), add up the profits of all
3 divisions (Cosmetics + Apparel + Accessories) to get the total profit for that year.
Step 2: For each division in each year, calculate its share as a percentage:
Share = (Division's Profit / Total Profit for that year) x 100Step 3: Compare all
15 combinations (
3 divisions x
5 years) and find the single largest percentage.
When you do this for
2014, the Apparel Division's profit was a very large portion of the total profit that year. This happens when one division dominates while the other two divisions contribute relatively little. Even if Apparel had higher raw profit in another year, what matters is how large its slice of the pie was compared to the other divisions in that same year.
For example, if in
2014 Apparel earned
$80K while Cosmetics earned
$10K and Accessories earned
$10K, Apparel's share would be
80/
100 =
80%. But if in
2018 Apparel earned
$100K while the others earned
$60K each, Apparel's share would only be
100/
220 = about
45%.
So the correct answer is Apparel for D1 and 2014 for D2, because the Apparel Division in
2014 commanded the single highest percentage share of total profit across all year-division combinations.
Key takeaway: 'Largest share' means largest percentage of total — not the largest absolute number. Always divide by the total for that year before comparing.Answer: Apparel, 2014