price of ticket increased by 25%. Due to this, a family with Rs. 1200 to spent at the fare can buy 6 tickets less than usual. the actual price of the ticket?

Question

percentage

 

Answer 1

let n = number of tickets; let p = price

 

np = 1200, so, p = 1200/n

 

1.25p(n-6) = 1200

 

Substitute: 1.25(1200/n)(n-6) = 1200

 

multiply both sides by n

 

1.25(1200)(n-6) = 1200n

 

1500(n-6) = 1200n

 

1500n - 9000 = 1200n

 

300n = 9000

 

n = 30, by division, p = 40

 

Plug back in to check!