8 chairs and 5 tables for a classroom cost Rs.10500, while 5 chairs and 3 tables cost Rs. 6450. Find the cost of each chair and that of each table.

Explanation

Let the cost of each chair be ₹ x and that of each table be ₹ y.
Then, ` 8 x + 5y = 10500" " `… (i)
and ` 5 x + 3y = 6450 " "` … (ii)
On multiplying (ii) by 5 and (i) by 3 and subtracting the results,we get
` 25x - 24 x = 32250 - 31500 rArr x = 750`
Putting ` x = 750 ` in (i), we get
` 8xx 750 + 5y = 10 500 rArr 6000 + 5y = 10500 `
` rArr 5 y = ( 10500 - 6000 ) = 4500 `
` rArr y = 900`.
` therefore ` cost of each chair = ₹ 750 and cost of each table = ₹ 900