Question

5 chairs and 4 tables together cost Rs 2800 while 4 chairs and 3 tables together cost Rs 2170. Find the cost of a chair and that of a table.

Answer 1

Let the cost of each chair be Rs. x and that of each table be Rs. y .
Then, we have:
5x + 4y = 2800 ...(i)
4x + 3y = 2170 ...(ii)
On multiplying (i) by 3 and (ii) by 4, we get:
15x + 12y = 8400 ...(iii)
16x + 12y = 8680 ...(iv)
Subtracting (iii) from (iv), we get:
(16x − 15x) = (8680 − 8400)
⇒ x = 280
On substituting x = 280 in (i), we get:
(5 × 280) + 4y = 2800
⇒ 4y = 2800 − 1400
⇒ 4y = 1400
⇒ y = 350
Hence, the cost of each chair is Rs. 280 and the cost of each table is Rs. 350.