Question

During a cricket match, $$4800$$ people showed their spirit by wearing the home team’s colour. If $$12000$$ people attended the game, what percent of the crowd wear the same colour $$?$$

Answer 1

Hint: First we know a percentage is a number or ratio expressed as a fraction of 100. It is denoted using the percent sign, $$\mathrm{\%}$$, although the abbreviations "pct.", "pct" and sometimes "pc" are also used. To find what percent of another number is a given number we just multiply the given number with $$100$$ and then divide by another number.

Complete step-by-step answer:
Since $$x\mathrm{\%}$$ of $$y$$ can be written as $${\displaystyle \frac{x}{100}}\times y$$.
Given $$4800$$ people showed their spirit by wearing the home team’s colour.
Since also given $$12000$$ people attended the game
First find the ratio between the total number of people wear the same colour and the total number of people attended the game. Then multiply the ratio by $$100$$ we get the percent of the crowd wearing the same colour.
Hence, the percent of the crowd wear the same colour $$={\displaystyle \frac{4800}{12000}}\times 100=40\mathrm{\%}$$.
So, the correct answer is “40%”.

Note: Note that to find the percentage of a number when it is in decimal form, you just need to multiply the decimal number by $$100$$. For example, to convert $$0.5$$ to a percentage, $$0.5\times 100=50\mathrm{\%}$$. The second case involves a fraction. If the given number is in fractional form, first convert it to a decimal value and multiply by $$100$$.