What is the answer to (1000p-10000)/(1000p)=0.25 ?

The answer to (1000p-10000)/(1000p)=0.25 is p= 40/3

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(1000p-10000)/(1000p)=0.25

\frac{1000 p - 10000}{1000 p} = 0.25

p = \frac{40}{3}

Solution steps

\frac{1000 p - 10000}{1000 p} = 0.25

Simplify

\frac{1000 p - 10000}{1000 p} : \frac{p - 10}{p}

\frac{p - 10}{p} = 0.25

Multiply both sides by

p

p - 10 = 0.25 p

Multiply both sides by

100

100 p - 1000 = 25 p

Move

1000

to the right side

100 p = 25 p + 1000

Move

25 p

to the left side

75 p = 1000

Divide both sides by

75

p = \frac{40}{3}

Verify Solutions

Find undefined (singularity) points:

p = 0

Combine undefined points with solutions:

p = \frac{40}{3}

\frac{x}{x - 4} = 7

\frac{6}{x} = \frac{10}{2}

0 = \frac{1}{x - 3} + 2

\frac{12.5}{x} = 2.5

0.319973953 = \frac{16}{x}

What is the answer to (1000p-10000)/(1000p)=0.25 ?
The answer to (1000p-10000)/(1000p)=0.25 is p= 40/3
Solve for p: (1000p-10000)/(1000p)=0.25
The solution is p= 40/3