The pie-charts below give the percentage distribution of employees in different Departments in XYZ Company Ltd. during the years 2005 and 2006. A - Administration; B - Operations; C - Sales & Marketing; D - Finance & Accounts; E - Corporate HQ.
2005 (total employees 18,000): A 22%, B 23%, C 18%, D 29%, E 8%.
2006 (total employees 20,000): A 24%, B 26%, C 20%, D 20%, E 10%.
If 300 employees left Operations at the end of 2005, how many joined in 2006?
Show Hint
Work out Operations' headcount for 2005 and 2006 from the pie charts, subtract to get the net change, then add back the 300 who left since new joiners must cover both the net growth and the departures.
Step 1: Understanding the Question: We know Operations' headcount at the start and end of the period, and that 300 people left along the way, so we need to find how many new people were hired to account for both the loss and the net growth.
Step 2: Key Formula or Approach: First find the Operations headcount in 2005 and 2006 from the pie charts, then use: \[ \text{New joiners} = (\text{2006 headcount} - \text{2005 headcount}) + \text{employees who left} \]
Step 3: Detailed Explanation. Operations in 2005 \( = 23\% \times 18{,}000 = 4{,}140 \) employees. Operations in 2006 \( = 26\% \times 20{,}000 = 5{,}200 \) employees. Net increase over the year \( = 5{,}200 - 4{,}140 = 1{,}060 \) employees. Since 300 employees already left at the end of 2005, the department needed to make up for that loss on top of the net growth, so \[ \text{New joiners} = 1{,}060 + 300 = 1{,}360 \]
Step 4: Final Answer: 1,360 employees joined Operations in 2006 to cover both the 300 who left and the net growth of 1,060. \[ \boxed{1{,}360} \]
