Question

The price of three commodities A, B and C in a shop are Rs. 10, 20 and 30 respectively. A man x buys 8 units of A, 7 units of B and 6 units of C. A man Y buys 6 units of A, 7 units of B and 8 units of C, show in matrix notation, the prices of the commodities, quantities bought and the amount spent​

Answer 1

Given :

The price of three commodities A, B and C in a shop are Rs. 10, 20 and 30 respectively. A man x buys 8 units of A, 7 units of B and 6 units of C. A man Y buys 6 units of A, 7 units of B and 8 units of C

To find :

show in matrix notation, the prices of the commodities, quantities bought and the amount spent​

Solution :

You can represent the prices of the commodities in a matrix as:

A B C

P 10 20 30

• You can represent the quantities bought by man x in a matrix as:

A B C

Q 8 7 6

• You can represent the amount spent by man x in a matrix as:

A B C

A 80 140 180

Similarly, you can represent the quantities bought by man Y and the amount spent by him in matrices as:

• Quantities bought by man Y:

A B C

Q 6 7 8

• Amount spent by man Y:

A B C

A 60 140 240

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