The cost of 4 bags and 3 boxes is ₹555 and the cost of 3 bags and 4 boxes is ₹460. What is the cost of one bag ?

₹120

Let us consider that,

Cost of 1 bag = x and cost of 1 box = y

4x + 3Y = 555    ------(1)

and , 3x + 4y = 460        ------(2)

Multiply equation 1 by 4 and equation 2 by 3

16x + 12Y = 2220   

and , 9x + 12y = 1380

After subtracting them,

7x = 840

x = 120

The correct answer is option (1) : ₹120