Question

Hello !!!


QUESTION :-


A Railway Half Ticket costs half the full fare but the reservation charges are same on a Half Ticket as a full ticket . One reserved first class ticket from stations A to B cost rupees 2530 . Also, 1 reserved class ticket and 1 reserved first class half ticket from station A to B cost rupees 3810 .Find the full first class fare from station A to B and also the reservation charges for a ticket .



ALL THE BEST !!!​

Answer 1

SOLUTION☺️❤️✌️

Let x be the cost of full class A to B.

Let y be the cost of reservation.

Since a reserved 1st class ticket cost Rs.2530

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

Since one full and one half 1st class reserved tickets cost Rs.3810

=)3/2x+2y= 3810..........(2)

Thus, equation (1) and (2) from the system of Equations.

Multiply Equation (2) by 2 and rewrite the Equation (2) as .....(3

Let us solve the system of equations(3) and (1)

=)3x+4y= 7620

=)x+y= 2530

Multiply equation (1) by 3, we get:

=)3x+ 3y= 7590........(4)

Subtract equation (4) from equation (3) we get:

=) 3x+4y-3x-3y= 7620-7590

=) 4y-3y= 30

=) y= 30

Substitute the value of y in equation (1) to get the value of x

=) x+y= 2530

=) x+30= 2530

=) x= 2530-30

=) x= 2500

Thus, the 1st class ticket from A to B is 2500 and the reservation cost Rs.30.

hope it helps ✔️❣️

Answer 2

Answer:

2500,30

Step-by-step explanation:

Cost of full first class fare be 'x' and the reservation charges be 'y'.

(i)

One reserved first class ticket from A to B cost 2530.

x + y = 2530.

(ii)

1 reserved class ticket and reserved 1st class half ticket costs 3810.

⇒ (x + y) + (x/2 + y) = 3810

⇒ x + y + x/2 + y = 3810

⇒ 2x + 2y + x + 2y = 7620

⇒ 3x + 4y = 7620

On solving (i) * 3 & (ii), we get

3x + 3y = 7590

3x + 4y = 7620

-----------------------

      -y = -30

     y = 30

Substitute y = 30 in (ii), we get

⇒ 3x + 4y = 7620

⇒ 3x + 4(30) = 7620

⇒ 3x + 120 = 7620

⇒ 3x = 7500

⇒ x = 2500

$\textbf{\underline{\underline{Therefore:}}}$

First class fare = 2500

Reservation charges = 30

Hope it helps!