Question

A railway half ticket costs half the full fare but the reservation charge is same on half ticket as on full ticket. Two full and two half reserved first class tickets costs Rs.7700. Three full and 1 half reserved first class ticket between same stations costs Rs. 8950. Find the reservation charge. Reservation charge is Rs. ____

Answer 1

Answer:

ANSWER

Let the reservation charges be Rs. x and cost of full ticket of first class be Rs. y.

It is given that one reserved first class ticket from the station A to B costs Rs. 2530. Also, one reserved first class ticket and one reserved first class half ticket from A to B costs Rs. 3810, therefore,

x+y=2530..........(1) and

since railway half ticket costs half the full fare, but the reservation charges are the same on a half ticket as on a full ticket so we get

(x+y)+(x+

2

y

)=3810

⇒4x+3y=7620.............(2)

Multiplying equation 1 by 3 we get,

3x+3y=7590..........(3)

Now subtracting equation 3 from equation 2, we get x=30.

Now substitute the value of x in equation 1 that is:

30+y=2530

implies y=2500

Hence, the full first class fare from station A to B is Rs. 2500.