The price of 3 chairs and 2 tables is ₹ 4500 and price of 5 chairs and 3 tables is ₹ 7000, then find the price of 2 chairs and 2 tables.
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Let the price of 1 chair be Rs x and the price of
1 table be Rs y.
The price of 3 chairs and 2 tables is 4500
rupees
3x + 2y = 4500
(1)
Price of 5 chairs and 3 tables is 7000
5x + 3y = 7000
. (II)
Multiply (1) with 3 and (II) with 2 9x + 6y = 13500
.(111)
10x + 6y = 14000 subtracting IV from III
.(IV)
9x+6y= 13500
10x + 6y 14000 = _(-)_
X = 500
Putting this value of x in I
3 x 500 + 2y = 4500
1500 + 2y = 4500
2y = 4500 - 1500 = 3000
y = 1500
Price of 2 chairs and 2 tables will be
= 2x + 2y
= 2(x + y)
= 2 (500+ 1500)
= 2 x 2000
= 4000
Thus, the price of 2 chairs and 2 tables will be
Rs 4000.
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