Question

The cost of 4 kg onion, 3kg wheat and 2 kg rice is 60/- The cost of 2 kg onion, 4 kg wheat and 6 kg rice is 90/- The cost of 6 kg onion, 2kg wheat and 3kg rice is 70/- Find the cost of each item per kg by matrix method.

Answer 1

Let the cost of onion be Rs. y/-

Let the cost of wheat be Rs.x/-

Let the cost of rice be Rs. z/-

4x + 3y + 2z = 60

2x + 4y + 6z = 90

6x + 2y + 3z = 70

AX = B ⇒ X = A-1B

cost of rice Rs. 8 per kg.