This is the Important question based on Linear Equations in two Variables Chapter of R.S Aggarwal book for ICSE & CBSE Board.

Question Number 1 Exercise 3E of RS Aggarwal Solution

Here the cost of n chairs and table together is given you have to find the cost of 1 chair and 1 table.

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# 5 chairs and 4 tables together cost Rs5600, while 4 chairs and 3 tables together cost Rs 4340. Find the cost of a chair and that of a table.

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Given that 5 chairs and 4 tables together cost rs 5600,while 4 chairs and 3 tables together cost rs 4340.

we have to find the cost of a chair and that of a tables.

Let the cost of chairs=Rs x

and the cost of chairs=Rs y

According to statement,

5x+4y=5600 â†’ (1)

4x+3y=4340 â†’ (2)

Solving equation (1) and (2)

4(eq 1)-5(eq 2)

20x+16y-20x-15y=22400-21700

y=700

Hence, x=560

Hence, the cost of a chair is Rs 560 and cost of a table is Rs 700