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The mean daily profit by a shopkeeper in a month of 30 days was ₹450. If the mean profit for the first 20 days was ₹300, then the mean profit for the
Question

The mean daily profit by a shopkeeper in a month of 30 days was ₹450. If the mean profit for the first 20 days was ₹300, then the mean profit for the last 10 days will be:

A.

₹750

B.

₹250

C.

₹500

D.

₹260

Correct option is A

​Given:
Mean daily profit for 30 days = ₹450
Mean daily profit for the first 20 days = ₹300
Number of days in the month = 30
Formula Used:
Mean Profit=Total ProfitNumber of Days\text{Mean Profit} = \frac{\text{Total Profit}}{\text{Number of Days}}​​
Solution:
Total Profit for 30 days = 450 ×\times​ 30 = ₹13,500
Total Profit for 20 days = 300 ×\times 20 = ₹6,000
Total Profit for the last 10 days = Total Profit for 30 days - Total Profit for 20 days = ₹13,500 - ₹6,000 = ₹7,500
Mean Profit for the last 10 days = 7,50010=750\frac {₹7,500}{ 10} = ₹750​​
Thus, the mean profit for the last 10 days is ₹750.

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