Four train tickets from city A to B and Two tickets from city A to C cost Rs. 80 but two tickets from city A to B and four tickets from city A to C cost Rs. 70. What are the fares for cities B and C from A?
Four train tickets from city A to B and Two tickets from city A to C cost Rs. 80 but two tickets from city A to B and four tickets from city A to C cost Rs. 70. What are the fares for cities B and C from A? Correct Answer Rs. 15, Rs. 10
Given:
Four train tickets from city A to B.
Two tickets from city A to C cost Rs. 80 but two tickets from city A to B and four tickets from city A to C cost Rs. 70.
Calculation:
let fare of the ticket from city A to B be Rs. X and from city A to C be Rs. Y.
From the given data,
4X + 2Y = 80 ----(1)
2X + 4Y = 70 ----(2)
Multiplying the equation 1 by 2 we get:-
(4X + 2Y) × 2 = 80 × 2
8X + 4Y = 160
Subtracting equation 2 from equation 1 we get:
6X = 90
⇒ X = 15
Putting the value of X in equation 2 we get:-
30 + 4Y = 70
⇒ 4Y = 40
Y = 10
Thus, the fare of the ticket from city A to B is Rs 15 and from city A to C is Rs 10.
Hence, the correct answer is "Option 1".
