the entrance ticket at the Minerva theatre in Mumbai is worth Rs 250. When the price of the ticket was lowered, the sale of the tickets increased by 50% while the collections decreased by 17.5%. find the deduction in the ticket price? a) 150 b) 112.5 c) 105 d) 120
@jim_thompson5910
@freckles
@aum
what is Rs
currency -> rupees
So the price is 250 for ticket x is the number of ticket purchases so 250x is the the total amount for sales -- so 250 was lowered by some amount <--this is the deduction cost we are looking for so that new cost per ticket is (250-m) where I'm letting m be the the deduction...
ok
the number of tickets sold will be .5 percent more So we have (1+.5)x(250-m) there is also a .175 decrease 1.5x(250-m)=(1-.175)(250x) There is two variables there and we only care about that m
thnx very much
oh yeah x doesn't equal 0 go ahead and divide both sides by x
now you just have an equation in terms of m the answer you seek
yes its \(\bf 112.5\)
\[1.5(250-m)=(1-.175)(250)\]
fish time bbl
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