Question

The cost of 4 chairs and 5 tables is Rs.41000. the cost of 2 chairs and 3 tables is Rs.23000. Find the cost of each chair and each table respectively?

Answer 1

The cost of each chair and each table is Rs. 4000 and Rs. 5000 respectively

Given :

• The cost of 4 chairs and 5 tables is Rs. 41000

• The cost of 2 chairs and 3 tables is Rs. 23000

To find :

Find cost of each chair and each table

Solution :

Step 1 of 3 :

Form the equations

Let cost of one chair = Rs. x and cost of one table = Rs. y

The cost of 4 chairs and 5 tables is Rs. 41000

Thus we get

4x + 5y = 41000 - - - - - (1)

The cost of 2 chairs and 3 tables is Rs. 23000

2x + 3y = 23000 - - - - - (2)

Step 2 of 3 :

Find cost of one table

Multiplying both sides of Equation 2 by 2 we get

4x + 6y = 46000 - - - - - (3)

Equation 3 - Equation 1 gives

y = 5000

Cost of one table = Rs. 5000

Step 3 of 3 :

Find cost of one chair

Putting y = 5000 in Equation 1 we get

4x + ( 5 × 5000 ) = 41000

⇒ 4x + 25000 = 41000

⇒ 4x = 16000

⇒ x = 4000

Cost of one chair = Rs. 4000

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