3 chairs and 2 tables cost Rs. 700 and 5 chairs and 3 tables cost Rs. 1100. What is the cost of 1 chair and 2 tables?
Let say,
cost of a chair is c and cost of a table is t.
So, from first condition,
$$3c+2t=700...............(1)$$
and from second condition,
$$5c+3t=1100..............(2)$$
Now,multiply equation (1) by 3 :
$$9c+6t=2100..........(4)$$
and multiply equation (2) by 2:
$$10c+6t=2200........(5)$$
Now,Subtract equation (5) and (4),
$$c=100.$$
Put c=100 in equation (1):
$$300+2t=700$$
or,$$2t=400$$
or,$$t=200.$$
So, cost of one chair and 2 table is
$$100+2×200=500.$$
C is correct choice.
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