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Question

4 chairs and 3 tables cost ₹2100 and 5 chairs and 2 tables cost ₹1750. Find the cost of a table.

A
₹400
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B
₹500
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C
₹150
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D
₹250
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Solution

The correct option is B ₹500
Let x denote the cost of a chair and y denote the cost of a table.

4x + 3y = 2100 ...(1)

​5x + 2y = 1750 ...(2)

On multiplying equation (1) by 2 and equation (2) by 3 to make the coefficients of y equal, we get

8x + 6y = 4200 .... (3)

15x + 6y = 5250 ....(4)

On subtracting equation (3) from (4), we get

7x = 1050

x = 150

On substituting this value of x in equation (1), we get

4(150) + 3y = 2100

600 + 3y = 2100

3y = 1500

y = 500

Thus, x = 150 and y = 500

The cost of a table is ₹500.

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