Complete the table below

[tex]\begin{array}{|c|c|c|c|c|}\hline \large\mathrm {Percentage}&\large\mathrm{Base}&\large\mathrm{Rate} \\\hline \large\tt \purple{90} &\large\tt{750} &\large\tt{12\%} \\\hline \large\tt{65} &\large\tt \purple{260} &\large\tt{25\%} \\\hline \large\tt{1500}& \large\tt{4500}&\large\tt \purple{ 33.33\%} \\\hline \large\tt{35} & \large\tt \purple{350} &\large\tt{10\%}\\\hline \large\tt{ \purple{29.25}}&\large\tt{975}&\large\tt{3\%} \\\hline \end{array}[/tex]

[tex]\large\bold{Solutions:}[/tex]

1.) P = ?, B = 750, R = 12%

[tex]\large\rm{P=B×R}[/tex]

[tex]\large\rm{P=750×12\%}[/tex]

[tex]\large\rm{P=750×0.12}[/tex]

[tex]\large\mathrm\purple{P=90}[/tex]

∴ The percentage is 90

[tex]\huge\purple{\overline{\quad\quad\quad\quad\quad\quad\quad\quad \ \ \ }}[/tex]

2.) P = 65, B = ?, R = 25%

[tex]\large\rm{B=\frac{P}{R}}[/tex]

[tex]\large\rm{B=\frac{65}{25\%}}[/tex]

[tex]\large\rm{B=\frac{65}{0.25}}[/tex]

[tex]\large\mathrm\purple{B=260}[/tex]

∴ The base is 260

[tex]\huge\purple{\overline{\quad\quad\quad\quad\quad\quad\quad\quad \ \ \ }}[/tex]

3.) P = 1500, B = 4500, R = ?

[tex]\large\rm{R=\frac{P}{B}}[/tex]

[tex]\large\rm{R=\frac{1500}{4500}}[/tex]

[tex]\large\mathrm{R =0.3333333333}[/tex]

[tex]\large\mathrm\purple{R=33.33\%}[/tex]

∴ The rate is 33.33%

[tex]\huge\purple{\overline{\quad\quad\quad\quad\quad\quad\quad\quad \ \ \ }}[/tex]

4.) P = 35, B = ?, R = 10%

[tex]\large\rm{B=\frac{P}{R}}[/tex]

[tex]\large\rm{B=\frac{35}{10\%}}[/tex]

[tex]\large\rm{B=\frac{35}{0.1}}[/tex]

[tex]\large\rm\purple{B=350}[/tex]

∴ The base is 350

[tex]\huge\purple{\overline{\quad\quad\quad\quad\quad\quad\quad\quad \ \ \ }}[/tex]

5.) P = ?, B = 975, R = 3%

[tex]\large\rm{P=B×R}[/tex]

[tex]\large\rm{P=975×3\%}[/tex]

[tex]\large\rm{P=975×0.03}[/tex]

[tex]\large\rm\purple{P=29.25}[/tex]

∴ The percentage is 29.25

=======================================

[tex]\large\tt{Percentage}[/tex]

Percentage is accompanied by the word "is".

[tex]\large\tt{Base}[/tex]

Base is accompanied by the word "of".

[tex]\large\tt{Rate}[/tex]

Rate is the number with a percent sign "%".

==============================

ꕥ To convert a percent into a decimal, remove the percent sign and divide the number by 100.

Example:

[tex]\large\tt{6\%}[/tex]
[tex]\large\tt{=6÷100}[/tex]
[tex]\large\tt\purple{=0.06}[/tex]

ꕥ To convert a decimal into a percent, multiply the decimal by 100 and put a percent sign "%" beside the product.

Example:

[tex]\large\tt{0.05}[/tex]
[tex]\large\tt{=0.05×100}[/tex]
[tex]\large\tt{=5}[/tex]
[tex]\large\tt\purple{=5\%}[/tex]

[tex]\huge\purple{\overline{\quad\quad\quad\quad\quad\quad\quad\quad \ \ \ }}[/tex]

Kindly swipe your screen to the left to see the continuation of the answer.

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