the cost of 3 tables and 5 chairs is rs 2000 whioe the cost of 5 table and 7 chairs cost rs 3200.find the cost of a table and a chair
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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+4y−6x−9y=5000−6000
⇒−5y=−1000
⇒y=−5−1000=200
∴y=200
Put y=200 in (3) we get
2x+3×200=2000
⇒2x=2000−600=1400
⇒x=21400=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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