A cinema hall has three classes of tickets namely Classic, Deluxe and Economy. Classic is priced at Rs 500 per ticket, Deluxe at Rs 400 per ticket and Economy at Rs 300 per ticket. The number of Deluxe class tickets was hundred more than that of Classic class and 200 less than that of the Economy class. If the total amount collected on a particular day was Rs 250000, find the number of tickets sold of each class.
Answers
Answer:
1 ) Economy tickets = 400
2 ) Deluxe tickets = 200
3 ) Classic tickets = 100
Step-by-step explanation:
let number of classic tickets sold = x
number of Deluxe class tickets was hundred more than Classic class tickets
so number of deluxe tickets sold = x + 100
but number of deluxe tickets sold was 200 less than that of economy tickets
so number of economy tickets was 200 more than Deluxe tickets
so number of economy tickets = ( x + 100 ) + 200
so number of economy tickets = x + 300
value of all economy tickets sold = number of economy tickets * value of one economy ticket
= ( x + 300 ) * 300
so value of all economy tickets = 300x + 90000
value of all deluxe tickets sold = number of deluxe tickets * value of one deluxe ticket
= ( x + 100 ) * 400
so value of all economy tickets = 400x + 40000
value of all classic tickets sold = number of classic tickets * value of one classic ticket
= ( x ) * 500
so value of all economy tickets = 500 x
we know that total value of tickets sold in the theatre is Rs 250000
so value of all economy tickets + value of all deluxe tickets + value of all classic tickets = Rs 250000
=> ( 300x + 90000 ) + ( 400x + 40000 ) + 500 x = 250000
=> 300x + 90000 + 400x + 40000 + 500 x = 250000
=:> 300x + 400x + 500x + 90000 + 40000 = 250000
=> 1200x + 1300000 = 250000
=> 1200 x = 250000 - 130000
=> 1200 x = 120000
=> x = 120000 / 1200
=> x = 100
number of classic tickets = x
= 100
number of deluxe tickets = x + 100
= 100 + 100
= 200
number of economy tickets = x + 300
= 100 +300
= 400
Therefore the number of :
1 ) Economy tickets = 400
2 ) Deluxe tickets = 200
3 ) Classic tickets = 100
Answer:
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