Subjects algebra

Employee Redundancy Units Sold

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1. **Problem Q3:** Calculate the number of employees made redundant at HCG Ltd in 2012. 2. **Step 1:** Find the total number of employees at the start of 2012. Given 3,827 employees at the end of 2012 after a 15% turnover, the remaining employees represent 85% of the starting number. Use the formula: $$\text{Starting employees} = \frac{\text{Ending employees}}{0.85}$$ Calculate: $$\frac{3827}{0.85} = 4502 \text{ employees}$$ 3. **Step 2:** Calculate the number of employees who left during 2012. $$4502 - 3827 = 675 \text{ employees left}$$ 4. **Step 3:** Calculate how many employees were made redundant. Given 20% left due to redundancy: $$675 \times 0.20 = 135 \text{ employees}$$ **Answer for Q3:** (D) 135 employees 5. **Problem Q4:** Calculate the combined units sold of products B and C by Aisha in March. 6. **Step 1:** Calculate the unit value per ratio part. Total units sold = 3570 Ratio sum = 10 + 5 + 2 = 17 Units per ratio part: $$\frac{3570}{17} = 210$$ 7. **Step 2:** Calculate units sold for products B and C. Product B: $$210 \times 5 = 1050 \text{ units}$$ Product C: $$210 \times 2 = 420 \text{ units}$$ 8. **Step 3:** Calculate combined units sold for B and C. $$1050 + 420 = 1470 \text{ units}$$ **Answer for Q4:** (A) 1470 units