4 tables and 3 chairs, together, cost Rs 2,250 and 3 tables and 4 chairs cost Rs 1950. Find the cost of 2 chairs and 1 table.

Let the cost of 1 table be ‘a’ and cost of 1 chair be ‘b’.


Given, 4 tables and 3 chairs, together, cost Rs 2,250 and 3 tables and 4 chairs cost Rs 1950.


4a + 3b = 2250 -------- (1)


Also, 3a + 4b = 1950 --------- (2)


Multiplying eq1 by 3 and eq2 by 4 and subtracting eq2 from eq1.


12a + 9b – 12a – 16b = 6750 – 7800


7b = 1050


b = 150


Substituting ‘b’ in eq1


4a + 450 = 2250


a = Rs. 450


Cost of 2 chair and 1 table = 2b + a = Rs. 750


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