Show Hint
- 6,100
- 6,300
- 6,000
- 6,500
The Correct Option is A
Solution and Explanation
Step 1: Understanding the problem.
The number of shifts corresponding to different numbers of patients per shift is given in the bar graph. The amount Dr. Gita earns is \(1000(X - 0.2)\), where \(X\) is the number of patients per shift. The data from the graph is as follows:
For \(X = 5\), the number of shifts is 20.
For \(X = 6\), the number of shifts is 40.
For \(X = 7\), the number of shifts is 30.
For \(X = 8\), the number of shifts is 10.
Step 2: Calculating the total earnings. For \(X = 5\): \[ \text{Earnings} = 1000 \times (5 - 0.2) \times 20 = 1000 \times 4.8 \times 20 = 96,000. \] For \(X = 6\): \[ \text{Earnings} = 1000 \times (6 - 0.2) \times 40 = 1000 \times 5.8 \times 40 = 232,000. \] For \(X = 7\): \[ \text{Earnings} = 1000 \times (7 - 0.2) \times 30 = 1000 \times 6.8 \times 30 = 204,000. \] For \(X = 8\): \[ \text{Earnings} = 1000 \times (8 - 0.2) \times 10 = 1000 \times 7.8 \times 10 = 78,000. \] Step 3: Calculating the total earnings and average earnings.
Total earnings for all 100 shifts:
\[ \text{Total Earnings} = 96,000 + 232,000 + 204,000 + 78,000 = 610,000. \] The average earnings per shift: \[ \text{Average Earnings} = \frac{610,000}{100} = 6,100. \] Thus, the average earnings per shift are ₹6,100, which corresponds to Option (A).
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