Question

A manufacturer made a television set at a cost of $6,000.00 and sold it to a wholesaler at a profit of 10%.The wholesaler sold it to a retailer at a profit of 15%. The retailer marked the set to be sold at a profit of 25%.find the cost to the wholesaler, the selling price of the wholesaler and the marked price of the retailer

Answer 1

cost to the wholesaler:6600

selling price of the wholesaler : 7590

the marked price of the retailer is $ 9487.5

Step-by-step 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:

`\text{new price= original price}\cdot(1+\frac{\text{ \% }}{100})`

so,let

original price= 6000

%=10

replace

`\begin{gathered} \text{new price= original price}\cdot(1+\frac{\text{ \% }}{100}) \\ \text{New}=6000\cdot(1+(10)/(100))=6000(1.1)=6600 \end{gathered}`

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

`\begin{gathered} \text{new price= original price}\cdot(1+\frac{\text{ \% }}{100}) \\ \text{New}=6600(1+(15)/(100))=6600(1.15) \\ \text{New}=7590 \end{gathered}`

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

`\begin{gathered} \text{new price= original price}\cdot(1+\frac{\text{ \% }}{100}) \\ \text{New}=7590\cdot(1+(25)/(100))=7590(1.25) \\ \text{New}=9487.5 \end{gathered}`

therefore, the marked price of the retailer is $ 9487.5

I hope this helps you