1. **State the problem:** We have a hospital with two wards, A and B. Ward A has 40% of beds and 60% of turnover of 120 million. Ward B has 60% of beds and 40% of turnover. The bed capacity of ward B increases by 20% of its previous capacity, reducing ward A's beds accordingly. We want to find ward A's share of total turnover after this change, assuming turnover per bed remains constant. 2. **Given data:** - Total beds: 100% (assume 100 beds for simplicity) - Ward A beds: 40 beds - Ward B beds: 60 beds - Total turnover: 120 million - Ward A turnover: 60% of 120 million = 72 million - Ward B turnover: 40% of 120 million = 48 million 3. **Calculate turnover per bed for each ward:** $$\text{Turnover per bed in A} = \frac{72}{40} = 1.8 \text{ million per bed}$$ $$\text{Turnover per bed in B} = \frac{48}{60} = 0.8 \text{ million per bed}$$ 4. **Increase bed capacity of ward B by 20%:** $$\text{Increase} = 0.20 \times 60 = 12 \text{ beds}$$ New ward B beds = $$60 + 12 = 72$$ beds 5. **Decrease ward A beds accordingly:** Total beds remain 100, so new ward A beds = $$100 - 72 = 28$$ beds 6. **Calculate new turnover for each ward using turnover per bed:** Ward A new turnover = $$28 \times 1.8 = 50.4$$ million Ward B new turnover = $$72 \times 0.8 = 57.6$$ million 7. **Calculate total turnover after change:** $$50.4 + 57.6 = 108$$ million 8. **Calculate ward A's share of total turnover after change:** $$\frac{50.4}{108} = \frac{\cancel{50.4}}{\cancel{108}} = 0.4667 = 46.7\%$$ **Final answer:** Ward A's share of total turnover after the change is **46.7%**.