Question

3 chairs and 2 tables cost rs.700 whe 5 chairs and 3 tables costs s.1100.what is the cost of 2 chairs and 2 tabls?

Answer 1

let the cost of one chair be x and that of 1 table be y

ATQ: 3x + 2y = 700........ (i)
& 5x + 3y = 1100......... (ii)

by elimination method (i) × 5 - (ii) ×3

15x + 10y = 3500
-15x- 9y = -3300
0+ y = 200...... y = 200

using this value of y in (i) we get

x = 700 - 400 /3 = 300/ 3 =100
x = 100

therefore cost of one chair = x = 100 rupees and of one table is = y = 200

so cost of 2 chair + cost of 2 table = 2 × 100 + 2 × 200 = 200 + 400 = 600 rupees

Hence the cost of 2 chair and 2 table is rupees 600.