5 chairs and 4 tables together cost Rs. 5600, while 4 chairs and 3 tables together cost Rs. 4340. Find the cost of a chair and that of a table.
Let the cost of each chair and each table are x and y respectively.
According to question,
5 × (cost of each chair) + 4 × (cost of each table) = 5600, and
4 × (cost of each chair) + 3 × (cost of each table) = 4340
∴ 5x + 4y = 5600.....(1)
4x + 3y = 4340.....(2)
from equation (1), we get -
x = (5600 - 4y)/5.....(3)
substituting the value of x in equation (2), we get -
⇒ 1/5 y = 140
∴ y = 700
substituting the value of y in equation (3), we get -
x = 560
Thus the cost of each chair is Rs. 560 and that of a table is Rs. 700.