Mrs Hong will make a profit which is equal to 18% of the original price if she sells the necklace at $4366. What will be her profit (in dollars) if she sells the necklace at $4450?

Answer 1

If Mrs. Hong makes a profit equal to 18% of the original price when selling the necklace at $4366, we can use this information to find the original price and then calculate the profit at $4450.

Let

�

P be the original price of the necklace.

The profit when selling at $4366 is given by

0.18

×

�

0.18×P.

Now, we can set up an equation:

�

0.18

×

�

=

4366

P+0.18×P=4366

Combining like terms:

1.18

×

�

=

4366

1.18×P=4366

Now, solve for

�

P:

�

=

4366

1.18

P=

1.18

4366

​

�

≈

3703.39

P≈3703.39

Now that we know the original price (

�

P), we can calculate the profit when selling at $4450:

Profit at

$

4450

=

Selling Price

−

Original Price

Profit at $4450=Selling Price−Original Price

Profit at

$

4450

=

4450

−

3703.39

Profit at $4450=4450−3703.39

Profit at

$

4450

≈

746.61

Profit at $4450≈746.61

Therefore, if Mrs. Hong sells the necklace at $4450, her profit would be approximately $746.61.