Question

$\hude{Hey!}$

a man sold a chair and a table together for rupees 1520 there by making a profit of 25% on the chair and 10% on the table. by selling them together for rupees 1535, he would have made a profit of 10% on the chair and 25% on the table. find the cost of each
​

Answer 1

$<b><I>$

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

$<b><marquee behavior= "alternate">Heya!! </marquee>$

$<marquee behavior=move bgcolor=yellow> <h1> I AM HERE WITH ANSWER TO YOUR QUERIES! ❤</h1></marquee>$

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

$<marquee behavior=move bgcolor=pink> <h1> Follow me ❤</h1></marquee>$