RRB Fractions and Percentages

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Theory

Fractions and Percentages play an important role to solve questions in Quantitative Aptitude. The meaning of fraction is to divide a whole thing into certain parts. There are some important and useful fractional values and their equivalent percentages are given.

$$\frac{1}{2}$$ = 50%

$$\frac{1}{3}$$ = 33.33%

$$\frac{1}{4}$$ = 25%

$$\frac{1}{5}$$ = 20%

$$\frac{1}{6}$$ = 16.67%

$$\frac{1}{7}$$ = 14.28%

$$\frac{1}{8}$$ = 12.5%

$$\frac{1}{9}$$ = 11.11%

$$\frac{1}{10}$$ = 10%

$$\frac{1}{11}$$ = 9.09%

$$\frac{1}{12}$$ = 8.33%

$$\frac{1}{13}$$ = 7.69%

$$\frac{1}{14}$$ = 7.14%

$$\frac{1}{15}$$ = 6.67%

$$\frac{1}{16}$$ = 6.25%

$$\frac{1}{17}$$ = 5.88%

$$\frac{1}{18}$$ = 5.56%

$$\frac{1}{19}$$ = 5.26%

$$\frac{1}{20}$$ = 5%

$$\frac{1}{21}$$ = 4.76%

Formula

$$\text{Percentage} = \frac{\text{Actual Value}}{\text{Total Value}}\times100$$


$$A\% \text{of} B = B\% \text{ of } A$$


If any two percentage namely P and Q are given then their successive percentage = $$P+Q+\frac{P \times Q}{100}$$

Solved Example

Q) Find out the value of 720 of 65%.

Sol. value of 720 of 65% = $$\frac{720}{100}\times65$$

= 468

Solved Example

Q) Find out the value of $$\frac{19}{16}$$ in the form of percentage.

Sol. value of $$\frac{19}{16}$$ = 118.75%

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