Answer :


Let the price of 1kg potato, wheat and rice be x, y and z respectively.


According to the question,


4x + 3y + 2z = 60


X + 2y + 3z = 45


6x + 2y + 3z = 70


Converting into matrix form


AX = B



4R2 – R1


2R3 – 3R1



Converting back into the equations we get


4x + 3y + 2z = 60


5y + 10z = 120


- 5y = - 40


Y = 8


5×8 + 10z = 120


10z = 120 – 40


Z = 8


4x + 3×8 + 2×8 = 60


4x = 60 - 24 - 16


4x = 20


X = 5


The cost of 1 kg potatoes, wheat and rice is Rs.5, Rs.8 and Rs. 8 respectively.


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