Answer:
$35.20
Step-by-step explanation:
For a profit of 24% on $34.10, this means that;
34.10 is 24% greater than the cost price
since; Profit = Selling price - cost price
To find the cost price (x):
Let the cost price be a 100% and the selling price of $34.10 be 124%
Now lets find the cost price
if 34.10 = 124%
then, x = 100%
x / 34.10 = 100% / 124 %
This gives;
124x = 34.10 (100)
124x = 3410
Divide both sides by the coefficient of x which is 124
x = $27.50
Now lets find the selling price for a profit of 28%
28% of 27.5 = 7.70
from; Profit = Selling price - cost price
7.70 = Selling price - 27.50
Subtracting 7.7 from both sides we have;
Selling price = 27.50 + 7.70
Selling price = $35.20
Therefore, the selling prices for a profit of 28% is $35.20