CAT Practice : Percents, Profits

Foreign Band - High Ticket Prices !! Ring a bell ?

Concert - Ticket Price

    Q.29: In the previous question, what would be the minimum price (approx) per ticket if the group wanted to buy 36 tickets?


    1. 23,300
    2. 23,250
    3. 23,166.67
    4. 23,500

 

  • Correct Answer
    Choice C. 23,166.66

Detailed Solution

There could be 2 possible relevant scenarios:

1) 32 tickets @ 8% discount + 4 tickets (no discount) = ) Average discount =

2) 35 tickets @ 7% discount + 1 ticket (no discount) = ) Average discount =

3) 24 tickets @ 8% discount + 12 tickets @ 6% discount = ) Average discount =

Thus, clearly 3) would give the minimum average ticket price

Now, if 7.33% ticket price is applied, ticket price = . But, since the average discount = 7.33%, average ticket price would be lower than 23,166.67. Therefore,

Answer – c)

Correct Answer: 23,200



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