Q. 14.2( 13 Votes )

# 5 chairs and 4 tables together cost Rs. 5600, while 4 chairs and 3 tables together cost Rs. 4340. Find the cost of a chair and that of a table.

Answer :

Let the cost of each chair and each table are x and y respectively.

According to question,

5 × (cost of each chair) + 4 × (cost of each table) = 5600, and

4 × (cost of each chair) + 3 × (cost of each table) = 4340

∴ 5x + 4y = 5600.....(1)

4x + 3y = 4340.....(2)

from equation (1), we get -

x = (5600 - 4y)/5.....(3)

substituting the value of x in equation (2), we get -

⇒ 1/5 y = 140

∴ y = 700

substituting the value of y in equation (3), we get -

x = 560

Thus the cost of each chair is Rs. 560 and that of a table is Rs. 700.

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