Question

2 tables and 3 chairs together cost Rs. 2000 and 2 chairs and 3 tables together cost Rs. 2500.
Find the cost of 1 chair and 3 tables together.

[Ans: 2300]​

Answer 1

Answer:

₹ 2300 ans.

Step-by-step explanation:

Let the cost of a table be Rs.x and that of a chair be Rs.y.Then

2x+3y=2000 (1)

3x+2y=2500 (2)

Multiplying equation (1) by 3 and (2) by 1, we get

6x+9y=6000 (3)

6x+4y=5000 (4)

Subtracting (4) from (3) we get

6x+4y−6x−9y=5000−6000

−5y=−1000

y= −1000 /-5 =200

∴y=200

Put y=200 in (3) we get

2x+3×200=2000

2x=2000−600=1400

x= 1400 / 2 = 700

So,Cost of a table=Rs.700 and cost of a chair =Rs.200

Hence cost of 3 tables and 1 chairs =3×700+1×200=2100+200 = Rs.2300