Question

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.​

Answer 1

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.