If 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?
- 600
- 350
- 450
- 300
Explanation
Let the cost of 1 chair be Rs. x and the cost of 1 table be Rs. y.
From the first set of values, we get: 3x + 2y = 700 ... (i)
From the second set of values, we get: 5x + 3y = 1100 ... (ii)
Multiply equation (i) by 5: 15x + 10y = 3500 ... (iii)
Multiply equation (ii) by 3: 15x + 9y = 3300 ... (iv)
Subtract equation (iv) from equation (iii): y = 200
Substitute y = 200 in equation (i): 3x + 2(200) = 700 => 3x = 300 => x = 100
Finally, find the cost of 2 chairs and 2 tables: 2x + 2y = 2(100 + 200) = Rs. 600
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