Two train tickets from City P to City Q and three tickets from City P to City R cost Rs. 95 but three tickets from City P to City Q and two tickets from City P to City R cost Rs. 90. What are the fares for Cities Q and R from P respectively?

Two train tickets from City P to City Q and three tickets from City P to City R cost Rs. 95 but three tickets from City P to City Q and two tickets from City P to City R cost Rs. 90. What are the fares for Cities Q and R from P respectively? Correct Answer Rs. 16, Rs. 21

Let Rs. "x" be the fare of city Q from city P and Rs. "y" be the fare of city R from city P.

Then, 2x + 3y = 95 (equation 1)

3x + 2y= 90 (equation 2)

multiplying equation-1 by 3, and equation-2 by 2 and substracting, we get

9y - 4y = 285 - 180

or 5y = 105

or y = 21

putting y = 21 in equation-1 we get,

x = 16

Hence, we get fare for city Q from P as x=16, and fare for city Q from R as y= 21.

So, correct option is 3.