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?

the total attendance on the three days was in the ratio 15 : 2 : 3.

Let's assume the attendance on the three days is 15y, 2y and 3y respectively.

Visitors to a show were charged ₹10 each on the first day, ₹5 on the second day and ₹2 on the third day.

Average charge per person for the visitors to the show on the three days taken together = $$\frac{15y \times10+2y \times5+3y \times2}{15y+2y+3y}$$

= $$\frac{150y+10y+6y}{20y}$$

= $$\frac{166y}{20y}$$

= ₹8.3