The average charge per person for the whole show is :

Visitors to a show were charged 150.00 each on the first day, Rs.75.00 on the second day and Rs.25.00 on the third day and the total attendance on the three days were in the ratio 2 : 5 : 13 The average charge per person for the whole show is

  1. Rs. 75.00
  2. Rs. 60.00
  3. Rs. 50.00
  4. Rs. 55.00
Anurag Mishra Professor Asked on 23rd January 2016 in Maths.
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  • 1 Answer(s)

    Answer: (3) Rs. 50. 00

    Explanation:-
    Let the number of visitors on the first, second and third day be 2 X, 5 X and 13 X.

    Visitors to a show were charged Rs.150.00 each on the first day, Rs. 75.00 on the second day and Rs. 25.00 on the third day and the total attendance on the three days were in the ratio 2: 5: 13.
    Therefore, total income of 3 days = (2 X  x 150 + 5 X x 75 + 13 X x 25)
     = (300 + 375 + 325) X
     = 1000 X

    Total attendance on 3 days = 2 X + 5 X + 13 X
     = 20 X

    Then, the average charge of a person = 1000 X/20 X
     = Rs. 50.00

    Hence, the correct answer is option (3) Rs. 50. 00

    Anurag Mishra Professor Answered on 23rd January 2016.
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