The price of 3 chairs and 2 tables is 4500 rupees and price of 5 chairs and 3 tables is 7000 rupees, then find the price of 2 chairs and 2 tables.
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Answer:
Let the price of 1 chair be Rs x
Let the price of 1 table be Rs y
Then -
3x+2y=4500 ____ (1)×3
5x+3y=7000 ______(2)×2
9x+6y=13500
10x+6y=14000
− − −
−x=−500
x=500
3(500)+2y=4500
2y=4500−1500
2y=3000
y=1500
∴ Price of 2 chairs and 2 tables =2x+2y
=2(x+y)
=2(500+1500)
=2×2000
= Rs. 4000
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