Respuesta :
cost to the wholesaler:6600
selling price of the wholesaler : 7590
the marked price of the retailer is $ 9487.5
Explanation
Step 1
a)A manufacturer made a television set at a cost of $6,000.00 and sold it to a wholesaler at a profit of 10%
to find the new price, we can use the formula:
[tex]\text{new price= original price}\cdot(1+\frac{\text{ \% }}{100})[/tex]so,let
original price= 6000
%=10
replace
[tex]\begin{gathered} \text{new price= original price}\cdot(1+\frac{\text{ \% }}{100}) \\ \text{New}=6000\cdot(1+\frac{10}{100})=6000(1.1)=6600 \end{gathered}[/tex]so, the manufacturer sold the TV set for $6600
Step 2
b)The wholesaler sold it to a retailer at a profit of 15%
again we need apply the formula
this time, let
original price= 6600
% of profit=15
replace
[tex]\begin{gathered} \text{new price= original price}\cdot(1+\frac{\text{ \% }}{100}) \\ \text{New}=6600(1+\frac{15}{100})=6600(1.15) \\ \text{New}=7590 \end{gathered}[/tex]therefore,
the wholsaer sold it for $7590
Step 3
c)The retailer marked the set to be sold at a profit of 25%
hence,let
original= 7590
% of profit= 25%
replace and calculate
[tex]\begin{gathered} \text{new price= original price}\cdot(1+\frac{\text{ \% }}{100}) \\ \text{New}=7590\cdot(1+\frac{25}{100})=7590(1.25) \\ \text{New}=9487.5 \end{gathered}[/tex]therefore, the marked price of the retailer is $ 9487.5
I hope this helps you
