A railway half-ticket costs half the full fare, but the reservation charge is the same on both. One reserved full ticket from Delhi to Agra costs Rs 245, and one full plus one half reserved ticket together cost Rs 370. Find the reservation charge per ticket.

Question

Accepted Answer

Rs 5. Full fare f, reservation r. f + r = 245. (f + r) + (f/2 + r) = 370, i.e. 1.5f + 2r = 370. From the first, f = 245 - r. Substituting: 1.5(245 - r) + 2r = 370 -> 367.5 + 0.5r = 370 -> 0.5r = 2.5 -> r = 5.

A railway half-ticket costs half the full fare, but the reservation charge is the same on both. One reserved full ticket from Delhi to Agra costs Rs 245, and one full plus one half reserved ticket together cost Rs 370. Find the reservation charge per ticket.

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Word Problems on Linear Pairs practice