Ahmed bought 6 chairs and 2 tables for RS. 6300 while Ali bought 2 chairs and one table of the same quality from the same shop for RS. 2600. Find the price of a chair?

Ahmed bought 6 chairs and 2 tables for RS. 6300 while Ali bought 2 chairs and one table of the same quality from the same shop for RS. 2600. Find the price of a chair?

Explanation

Given:

1. 6x + 2y = 6300

2. 2x + y = 2600

Multiplying equation (2) by 2:

4x + 2y = 5200

Subtracting:

(6x + 2y) - (4x + 2y) = 6300 - 5200

2x = 1100

x = 550