SSC CGL level Solution Set 76, Percentage 4
Learn to solve 10 percentage questions Venn diagram questions for SSC CGL Set 76 in 12 minutes using basic concepts and advanced percentage techniques.
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').
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A ratio defines how many times is one quantity with respect to another of same type. It is expressed as a minimized fraction and its numerator is called antecedent and denominator consequent. In practice these terms are not very important...