Question

The cost of 2 chairs and 3 tables is Rs. 1500. The cost of 3 chairs and 2 tables is Rs.1800. The
cost of each chair is more than that of each table by?
O Rs. 100
O Rs. 200
O Rs. 300
O Rs. 170​

Answer 1

Answer:

The cost of each chair is Rs. 300 more than that of each table

Step-by-step explanation:

Let the cost of a chair be x

and the cost of a table be y

Given that

2x + 3y = 1500.....eq (i)

3x + 2y = 1800.....eq (ii)

To solve

multiply eq (i) with 3

and eq (ii) with 2

6x + 9y = 4500... Eq (iii)

6x + 4y = 3600.... Eq (iv)

Subtract eq (iv) - eq (iii)

5y = 900

y = 180

To get 'x' substitute y value in eq (i)

2x +3(180) = 1500

2x = 1500 - 540

2x = 960

x = 480

Value of each chair = 480

Value of each table = 180