In a museum, the entrance ticket costs Rs. 250. In vacation, the cost of the ticket is reduced, there by increasing the sale by 50%. but it was found that the collection is decreased by 17.5%. What is the deduction in the ticket price?

Solution (By Examveda Team)

Let there is sell of 100 tickets.
So total Collection = 250 *100 = Rs. 25,000 [Price of one ticket = Rs. 100]

Now, Total ticket sale = 100 + 50 % of 100 = 150.

This effected 17.5% decrease in collection.

So, Collection after increased sale,

= 25000 - 17.5% of 25000 = Rs. 20, 625.

In vacation time per ticket price,

= 20625/150 = Rs. 137.5.

Decreased in each ticket price,

= 250 - 137.5 = Rs. 112.5.