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Question

2 tables and 3 chairs cost Rs.2000.Where as 3 tables and 2 chairs cost Rs.2500.Find the total cost of 1 table and 5 chairs.

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Solution

Let the cost of a table be Rs.x and that of a chair be Rs.y.Then
2x+3y=2000 ........(1)
3x+2y=2500 ........(2)

Multiplying equation (1) by 3 and (2) by 1, we get
6x+9y=6000 .........(3)
6x+4y=5000 .........(4)

Subtracting (4) from (3) we get
6x+4y6x9y=50006000

5y=1000

y=10005=200

y=200

Put y=200 in (3) we get

2x+3×200=2000

2x=2000600=1400

x=14002=700

So,Cost of a table=Rs.700 and cost of a chair =Rs.200

Hence cost of 1 table and 5 chairs=1×700+5×200=700+1000=Rs.1700

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