Question

A railways half ticket costs half the full fare and the resrvation charge is the same of half ticket as on full ticket. One reserved first class ticket form Mumbai to Delhi cost ₹4150 while one full and one half reserved first class ticket cost ₹6255. What is the basic first class full fare and what is the reservation charges?

Answer 1

Correct Answer - first class full fare = ₹ 4090, reservation charges = ₹ 60.
Let the basic first class full fare be ₹ x and the reservation charge be ₹ y . Then,
` x + y = 4150 " "`… (i)
And, ` (x + y ) + ((1)/(2) x + y) = 6255 rArr 3x + 4y = 12510. " "`… (ii)