Mathematics
derbygirl
15

The entrance ticket at the City Pride theatre in Pune is worth Rs. 250. When the price of the ticket was lowered, the sale of tickets increased by 50% while the collections recorded a decrease of 17.5%. Find the deduction in the ticket price.

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(1) Answers
Motte221

To answer this item, we let x be the price of each of the ticket and y be the number of sales of the ticket. Initially, x is equal to Rs. 250. Let P be the collection,                                          xy = P                                         250y = P After the ticket price was lowered, the number of sales becomes 1.5y and the total collection was lowered by 17.5% and becomes 0.825P                              x₂y₂ = 0.825P y₂ = 1.5y                             x₂(1.5y) = 0.825P x₂ = 0.55x x₂ = (0.55)(250) = 137.5 The new price is now Rs 137.5 which is Rs 112.5 lower than the original price. 

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