Question

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

Answer 1

Let the cost of a chair be Rs.x and that of a table be Rs.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 Rs.560 and Rs.700.