Q6 of 25 Page 90

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.

Let the price of one chair be 'x' and one table be 'y'.


Given,


Price of 3 chairs and 2 tables = 4500 Rs


⇒ 3x + 2y = 4500


Multiplying by 3 both side,


⇒ 9x + 6y = 13500


⇒ 6y = 13500 - 9x eq.[1]


Price of 5 chairs and 3 tables = 7000 Rs


⇒ 5x + 3y = 7000


Multiplying by eq.[2] both side,


⇒ 10x + 6y = 14000


⇒ 10x + 13500 - 9x = 14000 eq.[From 1]


⇒ x = 500


Putting this in eq.[1]


⇒ 6y = 13500 - 9(500)


⇒ 6y = 13500- 4500


⇒ 6y = 9000


⇒ y = 1500


Also, Price of 2 chairs and 2 tables = 2x + 2y


= 2(500) + 2(1500)


= 1000 + 3000 = 4000 Rs.


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