Seven chairs and three tables together cost ₹7400, three chairs and five tables together cost ₹5400. The total cost (in ₹) of 1 chair and 2 tables is:

2000

The correct answer is Option (2) → 2000

Let the cost of a chair = x and cost of a table = y.

We are given:

1. $7x + 3y = 7400$
2. $3x + 5y = 5400$

We need cost of 1 chair + 2 tables = $x + 2y$.

Step 1: Solve the system of equations

From equation 1:

$7x + 3y = 7400$

From equation 2:

$3x + 5y = 5400$

Step 2: Multiply equations to eliminate $x$

• Multiply eqn 1 by 3: $21x + 9y = 22200$
• Multiply eqn 2 by 7: $21x + 35y = 37800$

Subtract first from second:

$(21x + 35y) - (21x + 9y) = 37800 – 22200$

$26y=15600  ⟹  y=600$

Step 3: Find $x$

$3x+5(600)=5400  ⟹  3x+3000=5400$

$3x=2400  ⟹  x=800$

Step 4: Find $x + 2y$

$x + 2y = 800 + 2 \cdot 600 = 2000$