The cost of 2 tables and 3 chairs is ₹540, while that of 2 tables and 1 chair is ₹470. What is the cost of 5 chairs?

Correct option is A

Given:

cost of 2 tables and 3 chairs is ₹540.

​cost of 2 tables and 1 chair is ₹470.

cost of 5 chairs = ?

Solution:

​Let the cost of one table be $x$ and the cost of one chair be $y$.

​The cost of 2 tables and 3 chairs is ₹540:

​$$\ 2x + 3y = 540 \quad \text{(Equation 1)}$$ 

​The cost of 2 tables and 1 chair is ₹470:

​$$\ 2x + y = 470 \quad \text{(Equation 2)}$$ 

​Subtract Equation 2 from Equation 1:

​$$(2x + 3y) - (2x + y) = 540 - 470$$ 

$$2x + 3y - 2x - y = 70$$ 

$$2y = 70$$ 

$$y = \frac{70}{2} =35$$ 

cost of one chair is ₹35

cost of 5 chairs = $$5×35=175$$ 

Thus the cost of 5 chairs is ₹175.

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