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3 chairs and 2 tables cost Rs 700 while 5 chairs and 3 tables cost Rs 1100. What is the cost of 2 chairs and 2 tables ?

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Let the cost of one chair be Rs x and that of a table be Rs y.

Then, 3x + 2y = 700 .....…(1) 

5x + 3y = 1100 ..............(ii)

x = 100

\(\therefore\) Putting x = 100 in (1), we get

300 + 2y = 700 \(\Rightarrow\) 2y = 400 \(\Rightarrow\) y = 200

\(\therefore\) Cost of one chair = Rs 100, Cost of one table = Rs 200

\(\Rightarrow\)Cost of 2 chairs and 2 tables = 2 × Rs 100 + 2 × Rs 200

= Rs 200 + Rs 400 = Rs 600.

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