Question

sham purchased 4 chair and 3 tables for rs 1650 . from the same place and at the same rate sumit purchased 3 chairs and 2 tables for rs 1150 . find the cost per chair and per table

Answer 1

one chair costs 412.5 rupees and a table costs137.5 rupees

Answer 2

Answer:

let the cost of one chair= x

let the cost of one table = y

so, according to the question:

4x + 3y = 1650......(i)

3x + 2y = 1150......(ii)

now according to the elimination method:

multiply (i) by 2 and (ii) by 3 and then subtract

8x + 6y = 3300

9x + 6y = 3450

-       -         -

-x         = -100

x          = 100

now put the value of x in (i)

4(100) + 3y = 1650

400 + 3y = 1650

3y = 1650400

3y = 1250

y = 1250/3

y = 416.666