# 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. 1535  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.

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