Question

5 chairs and 4 tables together cost ₹ 5600, while 4 chairs and 3 tables together cost ₹ 4340. Find the cost of a chair and that of a table.

Answer 1

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 – 16x = 16800 – 17360

⇒ –x = –560

⇒ x = 560

Substituting x = 560 in (i), we have

5 × 560 + 4y = 5600

⇒ 4y = 5600 – 2800

⇒ `y = 2800/4` 

⇒ y = 700

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