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.