Question

a railway half ticket costs half the full fare but the reservation charges are the same on full ticket and half ticket.One reserved firs class ticket from Mumbai to Ahmedabad costs rupees 432 . One full and half reservation first class ticket costs rupees 642. What is the basic first class full fare and what is the reservation charge.

Answer 1

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THIS IS THE ANSWER :::::::::::::::::::::::::::::::::::::::::::

2500

EXPLANATION:

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+ 2y )=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.