The Total solution for NCERT class 6-12
The cost of 4 kg onion, 3 kg wheat and 2 kg riceis Rs 60. The cost of 2 kg onion, 4 kgwheat and 6 kg rice is Rs 90. The cost of 6 kgonion 2 kg wheat and 3 kg rice is Rs 70.Find cost of each item per kg by matrix method.
Let the cost of onions, wheat, and rice per kgbe Rs x, Rs y,and Rs z respectively.
This system of equations can be written in theform of AX = B, where
Now,
X = A−1 B
Hence, the cost of onions is Rs 5 per kg, thecost of wheat is Rs 8 per kg, and the cost of rice is Rs 8 per kg.