Visitors to a show were charged ₹10 each on the first day, ₹5 on the second day and ₹2 on the third day and the total attendance on the three days was in the ratio 15 : 2 : 3. What is the average charge per person for the visitors to the show on the three days taken together?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. ₹8.30
The total attendance on the three days was in the ratio 15 : 2 : 3
Let the number of total visitors = 20
Thus, the number of visitors on the first day = 15
The number of visitors on the second day = 2
The number of visitors on the third day = 3
The charges paid by visitors on the first day = 10 × 15 = ₹150
The charges paid by visitors on the second day = 5 × 2 = ₹10
The charges paid by visitors on the third day = 2 × 3 = ₹6
Total charges paid by visitors on all three days = ₹166
The average price paid by the visitors = 166/20 = ₹8.30