### Pecentage concepts in a nutshell

Our **tutorial on percentage** is comprehensive. Going through the tutorial, if needed more than once, and solving exercise and question sets should give confidence on percentage problems.

Very **briefly**, in your percentage marks of say 58%, the **unsaid quantity** is **total marks of 100**. Effectively, you scored 58 out of every 100. If the total marks were 200, you have scored $2\times{58}=116$, because the denominator of your marks changed from 100 to 200.

$58\text{%}=\displaystyle\frac{58}{100}=\frac{116}{200}=\frac{29}{50}$ and so on.

**Percentage is a ratio with denominator as 100 always. **This 100 represents the **percentage reference quantity.**

The percentage reference quantity here is, **total marks**. Total marks is not mentioned and its value unknown.

As percentage is a ratio, you can express it as a fraction, and also use it as a decimal equivalent to the fraction. For example, 58% marks is equivalent to $0.58\times{\text{total marks}}$.

Likewise 50% means $\frac{1}{2}$, 25% means $\frac{1}{4}$ (of percentage reference, in this example 'of total marks').

### Suresolv Percentage

*Tutorial, Question sets and Solution sets on Percentage*. Mainly for *SSC CGL competitive test.*

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