Question

A man sold a chair and a table for Rs.2178 thereby making a profit of 12% on the chair and 16% on the table. By selling them for Rs.2154, he gains 16% on the chair and 12% on the table. Find the cost price of each.
Please give answer with steps.

Answer 1

We need to find the cost price of each.

Let the cost price of chair = x.

Let the cost price of table = y.


Condition 1:

Profit on the chair = 25%.

Selling price of chair = x + 25x/100

                                   = 125x/100.


Profit on the table = 10%.

Selling price of table = x + 10/100

                                    = 110x/100.


Given that Total selling price = 1520

125x/100 + 110x/100 = 1520

125x + 110x = 1520 * 100

125x + 110x = 152000

25x + 22y = 30400     ------------------------ (1)


Condition 2:

Profit on the chair =10%.

Selling price of the chair = x + 10x/100

                                          = 110x/100

Profit on the table = 25%

Selling price of the table = y + 25y/100

                                          = 125y/100.



Given that total selling price = 1535

110x/100 + 125y/100 = 1535

110x + 125y = 153500

22x + 25y = 30700       --------------------------- (2)



On solving (1) * 22 & (2) * 25, we get

550x + 484y = 668800

550x + 625y = 767500

------------------------------------

          -141y = -98700

              y = 700.


Substitute y = 700 in (2), we get

22x + 25y = 30700

22x + 25 * 700 = 30700

22x + 17500 = 30700

22x = 13200

x = 13200/22

x = 600.



Therefore the cost price of chair = 600 rupees.

                  the cost price of table = 700 rupees

Answer 2

That answer is worng

The final answer is

Table-₹1250

And

Chair-₹650