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by gmat7202011 » Fri Jan 21, 2011 7:22 pm
A ticket for a movie show costs 250$
When the price of the ticket was lowered , the sales increased by 50%, while the collections decreased by 17.5%

Find the reduction in the ticket price

Thank You
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by stormier » Fri Jan 21, 2011 7:48 pm
gmat7202011 wrote:A ticket for a movie show costs 250$
When the price of the ticket was lowered , the sales increased by 50%, while the collections decreased by 17.5%

Find the reduction in the ticket price

Thank You
For 1 ticket

Before price reduction, collection = 250
If x is the new price, new collection = 1.5x (because 1.5 as many tickets sell at new price as at old price)

new collection = 250 (1-0.175) = 250(0.875) = 1.5x

=> x = 137.5

Reduction in ticket price = 250 - 137.5 = $112.5, or 45 %
Last edited by stormier on Fri Jan 21, 2011 7:50 pm, edited 1 time in total.
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by ashforgmat » Fri Jan 21, 2011 7:50 pm
[spoiler]Reduction is Rs 112.5.
[/spoiler]

Form 2 equations :-

Say x = no of tickets
y = collection
r = reduction

250.x=y....(1)

(250-r).1.5x = 0.825y...(2)


divide (1) by (2)

and solve for r.

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by rohu27 » Fri Jan 21, 2011 7:55 pm
OA plz..is it 112.5 $ ?
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by gmat7202011 » Sat Jan 22, 2011 8:05 am
Yes, that is correct.

Thank You for helping out
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