The number of patients per shift (𝑋) consulting Dr. Gita in her past 100 shifts is shown in the figure. If the amount she earns is ₹ 1000(𝑋 − 0.2), what is the average amount (in ₹) she has earned per shift in the past 100 shifts?

Note: The figure shown is representative.

Bar Chart

A.

6,100

B.

6,300

C.

6,000

D.

6,500

Solution:

We are given:

Dr. Gita’s earnings per shift is ₹1000 . (X-0.2), where X is the number of patients in that shift.


Step 1: Extract Data from the Bar Chart

Patients per shift XXNo. of shifts
520
640
730
810

Step 2: Compute Total Earnings

We calculate earnings for each shift group:

Earnings per shift=1000(X0.2)\text{Earnings per shift} = 1000 \cdot (X - 0.2)

Now multiply by the number of shifts:

  • For X=5X = 5:
    Earnings=1000(50.2)=10004.8=4800\text{Earnings} = 1000(5 - 0.2) = 1000 \cdot 4.8 = ₹4800
    Total: 204800=96,00020 \cdot 4800 = ₹96,000

  • For X=6X = 6:
    1000(60.2)=58001000(6 - 0.2) = ₹5800
    Total: 405800=232,00040 \cdot 5800 = ₹232,000

  • For X=7X = 7:
    1000(70.2)=68001000(7 - 0.2) = ₹6800
    Total: 306800=204,00030 \cdot 6800 = ₹204,000

  • For X=8X = 8:
    1000(80.2)=78001000(8 - 0.2) = ₹7800
    Total: 107800=78,00010 \cdot 7800 = ₹78,000


Step 3: Compute Total and Average

Total Earnings:

96,000+232,000+204,000+78,000=610,00096,000 + 232,000 + 204,000 + 78,000 = ₹610,000

Average per shift (over 100 shifts):

610000100=₹6,100