What is the answer to (200p-5000)/(200p)=0.3 ?

The answer to (200p-5000)/(200p)=0.3 is p= 250/7

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(200p-5000)/(200p)=0.3

\frac{200 p - 5000}{200 p} = 0.3

p = \frac{250}{7}

Decimal Notation

p = 35.71428 \dots

Solution steps

\frac{200 p - 5000}{200 p} = 0.3

Simplify

\frac{200 p - 5000}{200 p} : \frac{p - 25}{p}

\frac{p - 25}{p} = 0.3

Multiply both sides by

p

p - 25 = 0.3 p

Multiply both sides by

10

10 p - 250 = 3 p

Move

250

to the right side

10 p = 3 p + 250

Move

3 p

to the left side

7 p = 250

Divide both sides by

7

p = \frac{250}{7}

Verify Solutions

Find undefined (singularity) points:

p = 0

Combine undefined points with solutions:

p = \frac{250}{7}

\frac{20}{x} = 0

b = \frac{( 3 x + 5 )}{( 2 x + 1 )}

\frac{5}{x} + \frac{3}{x} = 24

\frac{15}{2 x} - \frac{6}{x} = 2

\frac{9 x}{x + 5} - \frac{1}{x} = 1

What is the answer to (200p-5000)/(200p)=0.3 ?
The answer to (200p-5000)/(200p)=0.3 is p= 250/7
Solve for p: (200p-5000)/(200p)=0.3
The solution is p= 250/7