Q. 434.0( 2 Votes )

# The cost of 4 kg

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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