Question

Solve. Round the answer to the nearest cent, if necessary.Last year the profit for a company was $483,000. This year's profit decreased by 2.1%. Find this year's profit.

Answer 1

year's

this year´s profit is $ 472857

Step-by-step explanation

we can easily solve this by using a rule of three

so

Step 1

a)let x represents this year's profit

so

if it is decreases by 2.1 %

`\begin{gathered} x=100-2.1\text{ = 97}.9 \\ x=97.9\text{\%} \end{gathered}`

so, this year's profit is 97.9% of the last year profit

hence

`\begin{gathered} \text{if} \\ 483000\rightarrow100\text{ \%} \\ x\rightarrow97.9\text{ \%} \end{gathered}`

we can make a proportion

`(483000)/(100)=(x)/(79)`

finally, solve for x,

`\begin{gathered} (483000)/(100)=(x)/(97.9) \\ \text{Multiply both sides by 9}7.9 \\ (483000)/(100)\cdot97.9=(x)/(97.7)\cdot97.9 \\ 472857=x \end{gathered}`

therefore

this year´s profit is $ 472857

I hope this helps you