The entrance fee for the live music concert in the ORIENT theatre is $50. When the price of the ticket was lowered, the number of visitors increased by 60% and the box office collection recorded an increase of 36%. What was the reduction in the ticket price?
(A) $12.50
(B) $7.50
(C) $6
(D) $5
(E) $4.50
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in the ORIENT theatre
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sanju09
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thephoenix
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IMO B
50$ ...........n tickets
50-x ......1.6n tickets( inc in tickets=60%)
revenue old=50*n
revenue new=(50-x)*1.6n
(rev old)1.36=revenue new
1.36(50*n)=(50-x)*1.6n
solvingx=7.5$
50$ ...........n tickets
50-x ......1.6n tickets( inc in tickets=60%)
revenue old=50*n
revenue new=(50-x)*1.6n
(rev old)1.36=revenue new
1.36(50*n)=(50-x)*1.6n
solvingx=7.5$
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ajith
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Say they sold x tickets initiallysanju09 wrote:The entrance fee for the live music concert in the ORIENT theatre is $50. When the price of the ticket was lowered, the number of visitors increased by 60% and the box office collection recorded an increase of 36%. What was the reduction in the ticket price?
(A) $12.50
(B) $7.50
(C) $6
(D) $5
(E) $4.50
and lowered the price by y
Initial Revenue = 50x
(50-b)*1.6x = 50x (1.36)
(50-b)*1.6 = 50*1.36
(50-b) = 50*1.36/1.6
50-b = 42.5; b=7.5
Always borrow money from a pessimist, he doesn't expect to be paid back.
