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in a charity show tickets were sold at Rs. 180 for 1st class, at rs 120 for 2nd class and rd 60 for general enclosure per person.
the number of seats in general enclosure was double of that in the first class and the number of seats in 2nd class was triple
of that in the first class. if all seats were occupied except 20 seats in 1st class and the show fetched rs 62,400.
find the number of persons who attended the show
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Let X be the number of SEATS in the 1-st class.
Then the number of seats in the general enclosure was 2X,
and the number of seats in the 2-nd class was 3X, according to the condition.
The number of tickets sold at the 1-st class was (x-20), and they paid 180*(X-20) rupees for their tickets.
Attendees at the 2-nd class payed 120*(3X) = 360X rupees.
Atttendees at the general enclosure payed 60*(2X) = 120X rupees.
Your equation is
180*(X-20) + 360X + 120X = 62400 counting the total revenue.
Simplify and solve for X:
180X - 3600 + 360X + 120X = 6240 ====>
660X = 62400 + 3600 = 66000 ====> X = = 100.
Hence, there were 100-20 = 80 attendees in the 1-st class, 3*100 = 300 attendees at the 2-nd class and 2*100 = 200 at the general enclosure.