Question

cost of 4 chair and 5 tables is rs 6600 and the cost of 5chairs and 3tables is rs 5000 at the same prices .what are the prices of a table and a chair?​

Answer 1

Answer:

Let cost of one chair =x

Let cost of one table =y

4x+3y=2100

5x+2y=1750

Solving (i) and (ii)

Solving by cross multiplication

a

1

x+b

1

y+c

1

=0

a

2

x+b

2

y+c

2

=0

⇒

b

1

c

2

−b

2

c

1

x

=

c

1

a

2

−c

2

a

1

y

=

a

1

b

2

−a

2

b

1

1

⇒

3×(−1750)−2×(−2100)

x

=

(−2100)×5−(−1750)×4

y

=

4×2−5×3

1

⇒

−1050

x

=

−3500

y

=

−7

1

⇒x=150,y=500

So cost of one chair =Rs.150 and cost of one table =Rs.500