2% of 5,000...

Questions

August 2022 1 10 Report

may solution
find the percentage
1. What is 25% of 4?
2. 1 50% of $400.00 is ___
3. ___ is 1/2% of 5,000

Answers & Comments

$\underline{FINDING \: THE \: PERCENTAGE :}$

${\red{\overline{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }}}$

1. What is $25\%$ 4?

$\underline{SOLUTION :}$

» $\sf{Equation : \red{Y=P\% \: \times \: X }}$

»Solving Equation for Y

${Y=P\% \: \times \: X } \\ Y = P\% \times 4 \\ \overline{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: } \\ \sf{convert \: \% \: \: to \: decimal : } \\ \rm{p =25\% \div 100 = 0.25} \\ Y = 0.25 \times 4 \\ Y = 1$

$\therefore$ 25% of 4 is 1.

${\red{\overline{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }}}$

2. $150\%$ of $ $400.00$ is ___?

» $\sf{Equation : \red{Y=P\% \: \times \: X }}$

$\underline{SOLUTION :}$

»Solving for equation Y

${Y=P\% \: \times \: X } \\ Y = 150\% \times 400\\ \overline{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: } \\ \sf{convert \: \% \: \: to \: decimal : } \\ \rm{p =150\% \div 100 = 1.5} \\ Y = 1.5 \times 400 \\ Y = 600$

$\therefore$ 150% of 400.00(or 400) is 600.

${\red{\overline{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }}}$

3.___ is $\frac{1}{2}\%$ of $5,000$

$\underline{SOLUTION :}$

»Lets first Convert fraction to percent to solve it Properly.

$\frac{1}{2} = 1 \div 2 = 0.5 \\ \sf{convert \: no. \: to \: percentage : } \\ 0.5 \times 100 = 50\%$

»Now we're gonna solve the percentage to the given no.

» $\sf{Equation : \red{Y=P\% \: \times \: X }}$

${Y=P\% \: \times \: X } \\ Y = 50\% \times 5000\\ \overline{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: } \\ \sf{convert \: \% \: \: to \: decimal : } \\ \rm{p =50\% \div 100 = 0.5} \\ Y = 0.5 \times 5000 \\ Y = 2500$

$\therefore$ 2500 is 1/2% of 5,000.

${\red{\overline{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }}}$

How to Calculate Percentages?

There are many formulas for percentage problems. You can think of the most basic as X/Y = P x 100. The formulas below are all mathematical variations of this formula.

Let's explore the three basic percentage problems. X and Y are numbers and P is the percentage:

Find P percent of X
Find what percent of X is Y
Find X if P percent of it is Y

What is P percent of X?

Written as an equation: Y = P% * X
The 'what' is Y that what we solve for.
Remember to first convert percentage to decimal, dividing by 100.
Solution: Solve for Y using the percentage formula Y = P% * X

${\red{\overline{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }}}$

CzrnaLlne <3

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