Basic Algebra

Let the cost of a full unreserved ticket be and the reservation charge per ticket be . The cost of one full reserved ticket is the sum of the full unreserved ticket cost and the reservation charge: $ . The cost of one half reserved ticket is the sum of the half unreserved ticket cost and the reservation charge: \) . Substitute this into equation (2): \) $ The cost of a half unreserved ticket is . The cost of one full reserved ticket (as given). The cost of one half reserved ticket . The cost of one full and one half reserved ticket (as given). Therefore, the reservation charge per ticket is Rupees 125.