1. **Problem Statement:** Calculate the average amount Dr. Gita earned per shift over 100 shifts, given the number of patients per shift $X$ and the earning formula $1000 (X - 0.2)$. 2. **Given Data:** - Number of patients per shift $X$: 5, 6, 7, 8 - Number of shifts for each $X$: 20, 40, 30, 10 respectively - Total shifts = 100 - Earning per shift = $1000 (X - 0.2)$ 3. **Step 1: Calculate total earnings for each $X$:** - For $X=5$: Earnings per shift = $1000 (5 - 0.2) = 1000 \times 4.8 = 4800$ - For $X=6$: Earnings per shift = $1000 (6 - 0.2) = 1000 \times 5.8 = 5800$ - For $X=7$: Earnings per shift = $1000 (7 - 0.2) = 1000 \times 6.8 = 6800$ - For $X=8$: Earnings per shift = $1000 (8 - 0.2) = 1000 \times 7.8 = 7800$ 4. **Step 2: Calculate total earnings over all shifts:** - Total earnings = $(4800 \times 20) + (5800 \times 40) + (6800 \times 30) + (7800 \times 10)$ - Calculate each term: - $4800 \times 20 = 96000$ - $5800 \times 40 = 232000$ - $6800 \times 30 = 204000$ - $7800 \times 10 = 78000$ - Sum: $96000 + 232000 + 204000 + 78000 = 610000$ 5. **Step 3: Calculate average earning per shift:** - Average earning = $\frac{\text{Total earnings}}{\text{Total shifts}} = \frac{610000}{100} = 6100$ **Final answer:** The average amount Dr. Gita earned per shift is **6100**. This corresponds to option (A).