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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