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Mental Ability - Questions
Two bus tickets from city A to B and three tickets from city A to C cost Rs. 77 but three tickets from city A to B and two tickets from city A to C cost Rs. 73. What are the fares for cities B and C from A ?
A)
Rs. 15, Rs. 14
B)
Rs. 4, Rs. 23
C)
Rs. 13, Rs. 17
D)
Rs. 17, Rs. 13

Correct Answer : Option (C) - Rs. 13, Rs. 17


Explanation :

Let Rs. x be the fare of city B from city A and Rs. y be the fare of city C from city A.
 
Then, 2x + 3y = 77 ...(i) and
 
3x + 2y = 73 ...(ii)
 
Multiplying (i) by 3 and (ii) by 2 and subtracting, we get: 5y = 85 or y = 17.
 
Putting y = 17 in (i), we get: x = 13.

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