Visitor to a show were charged Rs. 15 each on the first day, Rs. 7.50 each on the second day and Rs. 2.50 each on the third day. The attendance on the three days was in the ratio 2 : 5 : 13. The average charge per person for the whole show was-

A. Rs. 5

B. Rs. 6.33

C. Rs. 7.50

D. Rs. 9

Answer: Option A

Solution(By Examveda Team)

Let the attendance on the three days be 2x, 5x and 13x respectively.
Then, total charges
= Rs. (15 × 2x + 7.50 × 5x + 2.50 × 13x)
= Rs. (30x + 37.5x + 32.5x)
= Rs. 100x
∴ Average change per person
= Rs. $$\left( {\frac{{100x}}{{2x + 5x + 13x}}} \right)$$
= Rs. 5