A man sold a chair and a table together for Rs.1520, thereby making a profit of 25% on chair and 10% on 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.
Let the cost price of each chair and that of a table be x and y respectively.
According to question -
Selling Price of a chair(Profit = 25%) + Selling Price of a table(Profit = 10%) = Rs. 1520
⇒ 25x + 22y = 30400.....(1)
and,
Selling Price of a chair(Profit = 10%) + Selling Price of a table(Profit = 25%) = Rs. 1520
⇒ 22x + 25y = 30700.....(2)
Subtracting equation (2) from equation (1), we get -
⇒ 3x - 3y = - 300
⇒ x - y = - 100.....(3)
From equation (3), we get -
x = y - 100
Substituting the value of x in equation (2), we get -
22(y - 100) + 25y = 30700
⇒ 47y = 32900
∴ y = 700
substituting the value of y in equation (3), we get -
x = 600
Thus, Cost price of each chair and that of a table are Rs. 600 and Rs. 700 respectively.