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Image-based question with currency options (₹ symbols) — no question stem visible in the provided images.
₹5
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₹6
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₹5
Assign the attendance as 2x, 5x, and 13x. Calculate the weighted average directly: (152 + 7.55 + 2.5*13) / (2 + 5 + 13).
Charges: Day 1 = ₹15, Day 2 = ₹7.50, Day 3 = ₹2.50; Ratio of attendance = 2 : 5 : 13
Average Charge=Total AttendanceTotal Revenue
Assign the attendance as 2x, 5x, and 13x. Calculate the weighted average directly: (152 + 7.55 + 2.5*13) / (2 + 5 + 13).
Multiplying the charges by the ratio and forgetting to divide by the total sum of the ratio parts (2+5+13=20).
Define Attendance
Let the number of visitors on the three days be 2x, 5x, and 13x respectively.
n1=2x,n2=5x,n3=13x
Calculate Total Revenue
Multiply the charge per person by the number of visitors for each day: 15(2x)+7.5(5x)+2.5(13x)=30x+37.5x+32.5x=100x.
Revenue=100x
Calculate Total Visitors
Sum the ratio parts: 2x+5x+13x=20x.
Attendance=20x
Find Average Charge
Divide the total revenue by the total number of visitors: 100x/20x=5.
Average=20x100x=5
A is correct because the weighted average of the charges is calculated as (152 + 7.55 + 2.5*13) / (2 + 5 + 13) = 100 / 20 = ₹5.
This concept is identical to finding the 'Mean' in frequency distribution tables used in statistics.
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