Visitors were charged Rs. 15 each on the first day, Rs. 7.50 on the second day and Rs. 2.50 on the third day in a show and total attendance on the three days was in the ratio 2:5:13 respectively. The average charge per person for the whole show is _______?
- Rs. 7.50
- Rs. 4.50
- Rs. 5.00
- None of these
Explanation
Let's assume the attendance on the three days is 2x, 5x, and 13x, respectively.
Total revenue = (15 × 2x) + (7.5 × 5x) + (2.5 × 13x)
= 30x + 37.5x + 32.5x
= 100x
Total attendance = 2x + 5x + 13x
= 20x
Average charge per person = Total revenue / Total attendance
= 100x / 20x
= 5
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