Solve P_{R}*(1+10/100)=100

$$P _ { R } \times ( 1 + \frac { 10 } { 100 } ) = 100$$

Solve for P_R

$$P_{R} = \frac{1000}{11} = 90\frac{10}{11} \approx 90.909090909$$

Steps for Solving Linear Equation

Reduce the fraction \frac{10}{100} to lowest terms by extracting and canceling out 10.

$$P_{R}\left(1+\frac{1}{10}\right)=100$$

Convert 1 to fraction \frac{10}{10}.

$$P_{R}\left(\frac{10}{10}+\frac{1}{10}\right)=100$$

Since \frac{10}{10} and \frac{1}{10} have the same denominator, add them by adding their numerators.

$$P_{R}\times \frac{10+1}{10}=100$$

Add 10 and 1 to get 11.

$$P_{R}\times \frac{11}{10}=100$$

Multiply both sides by \frac{10}{11}, the reciprocal of \frac{11}{10}.

$$P_{R}=100\times \frac{10}{11}$$

Express 100\times \frac{10}{11} as a single fraction.

$$P_{R}=\frac{100\times 10}{11}$$

Multiply 100 and 10 to get 1000.

$$P_{R}=\frac{1000}{11}$$