Subject

    Quantitative Aptitude

    Topic

    Average

    Visitors to a show were charged Rs 14 on the first day, Rs. 12 on second day and Rs. 10 third day. The attendance of three days was in the ratio 1 : 2: 5. Find the average charge per person for the whole show.

    ক)
    Rs. 11
    খ)
    Rs. 11.50
    গ)
    Rs. 11.75
    ঘ)
    Cannot be determined
    ঙ)
    None of these

    Explanation

    We have attendance of three days in the ratio 1 : 2: 5 Let us take m people visited on day 1, 2m people visited in day 2, and 5m people visited on day 3. Hence total people visited = m + 2m + 5m = 8m Total amount of money spent by m people who visited on day 1 = 14 × m = 14m Total amount of money spent by 2m people who visited on day 2 = 12 × 2m = 24m Total amount of money spent by 5m people who visited on day 3 = 10 × 5m = 50m Total money spent by 8m people = 14m + 24m + 50m = 88m Average money spent by each person = Total money spent/total persons visited = 88m/8m = Rs 11

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