Question

if 3 chairs and 2 stool Cost 1200 and 5 chairs and 3 stools cost rupees 1900 then the cost of 2 chairs and 2 stool is

Answer 1

Let the cost of one chair be Rs. x and that of one stool be Rs. y

ATQ,

3x + 2y = 1200....... (1)
5x + 3y = 1900......... (2)

To solve eq (1) and (2) first multiply eq (1) by 5 and eq (2) by 3, we get:

15x + 10y = 6000..... (3)
15x + 9y =  5700....... (4)

Now subtract eq (4) from eq (3), we get:

y = 300

Putting y= 300 in eq (1), we get: x= 1200 - 600 / 3 = 200

So now we know that the cost of one chair is Rs. 200 and one stool costs Rs. 300

Therefore cost of two chairs= 2 * 200 = Rs. 400
Cost of two stools = 2 * 300 = Rs. 600

Total cost = 400 + 600 = Rs. 1000