Question

A man sold a chair and a table together for 1520. therby making a profit of 25% on the chair and 10% on table..By selling them together for 1535 he would have made a profit of 10% on the chair and 25% on the table.find the cost price of each.......plzzz ans fast

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.



Hope this helps!   --------------------- Gud Luck

Answer 2

Step-by-step explanation:

anwer is above in pic

pls mark as brainliest