Question

A man sold a chair and a table together for Rs.1520, thereby making a profit of 25% on a chair and 10% on the table. By selling them together for Rs.1535, he would have made a profit of 10% on the chair and 25 % on the table. Find the cost price of each.

Answer 1

CASE (i)

Let the cost of the chair be Rs x.
Cost of the table is Rs y.

Profit on the chair = 25 %
Profit on the table = 10 %

⇒ $1.25x+1.1y=1520$-----(1)

CASE (ii)
Profit on the chair = 10 %
Profit on the table = 25 %

⇒$1.1x+1.25y=1535$ ----- (2)

Solving equations (1) and (2), we get

$x=600,y=700.$
Therefore, the cost of the chair is Rs 600 and the cost of the table is Rs 700.