Question

2 tables and 3 chairs together cost Rs.10000 whereas 3 table and 2 chair costs Rs.12500. Find the cost of a table and a chair together.

Answer 1

Let table be x and chair be y.

2x + 3y = 10000 ——— ( 1 )

3x + 2y = 12500 ——— ( 2 )

[+] ________________________

5x + 5y = 22500

→ 5(x + y) = 22500

→ x + y = 4500 ——— ( 3 )

2x + 3y = 10000 ——— ( 1 )

3x + 2y = 12500 ——— ( 2 )

[-] ______________________

-x + y = -2500

→ y - x = -2500 ——— ( 4 )

Adding (3) and (4)

x + y = 4500

-x + y = -2500

______________

2y = 2000

→ y = 1000

Substitute value of y in equation 1,

x + y = 4500

→ x + 1000 = 4500

→ x = 3500

∴ Cost of table = ₹3500

Cost of chair = ₹1000