Multiple choice

Visitors to a show were charged Rs. 15 each on the first day, Rs 7.50 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 showw as

  1. RS6.63

  2. RS7.50

  3. RS5

  4. RS9

  5. RS2.5

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Average charge = (15*2 + 7.5*5 + 2.5*13) / (2+5+13) = (30 + 37.5 + 32.5) / 20 = 100 / 20 = 5.

AI explanation

Because the attendance ratio is 2 to 5 to 13, assume the number of visitors on the three days is 2x, 5x, and 13x. The total collection for the show is calculated as 15 times 2x plus 7.50 times 5x plus 2.50 times 13x, which equals 30x plus 37.5x plus 32.5x, resulting in a total of 100x. The total number of visitors is 20x, so the average charge per person is 100x divided by 20x, which equals Rs 5.