5 Chairs and 4 Tables Together Cost ₹5600, While 4 Chairs and 3 Tables Together Cost ₹ 4340. Find the Cost of Each Chair and that of Each Table

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Text Solution

Let the cost of a chair be ₹ x and that of a table be ₹ y, then

5x + 4y = 5600 ……..(i)

4x + 3y = 4340 ……..(ii)

Multiplying (i) by 3 and (ii) by 4, we get

15x + 12y = 16800……..(iii)

16x + 12y = 17360 ……..(iv)

Subtracting eqn ( iii) from (iv)

15x + 12y = 16800

- 16x + 12y = 17360

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15x – 16x = 16800 – 17360

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⇒ -x = -560

⇒ x = 560

Substituting x = 560 in (i), we have

5 × 560 + 4y = 5600

⇒ 4y = 5600 – 2800

⇒ y = \(2800\over4\) = 700

Hence, the cost of a chair and that a table are respectively ₹ 560 and ₹ 700.