Question

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

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