Question

19. A railway half ticket cost half the full fare but the reservation charges are the
same on a half ticket as on a full ticket. One reserved first class ticket costs
2530. One reserved first class ticket and one reserved first class half ticket
from stations A to B costs 3810. Find the full first class fare from stations A to
B and also the reservation charges for a ticket.

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Answer 1

Answer:

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Step-by-step explanation:

Let the full fare = a  and

the reservation charges = b

i.e. a + b = 2530  -------------1

i.e. b = 2530-a     -------------2

Also a + a/2 + 2b = 3810

i.e. a + a/2 + 2(2530-a) = 3810

i.e. a + a/2 + 5060 - 2a = 3810

i.e. 2a + a + 10120 - 4a = 7620

i.e. a = 2500      ------------3

From 1 & 3, we get

b = 2530 - 2500 = 30

∴ The full first class fare from stations A to  B = 2500

  The reservation charges for a ticket = 30

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