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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.

Respuesta :

Yna9141
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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