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If
60% of a number is 30 , find
10% of that number.
Answer:

If $60 \%$ of a number is $30$ , find $10 \%$ of that number. $\newline$ Answer:

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Find what percent one number is of another

Full solution

Q. If

60 \%

of a number is

30

, find

10 \%

of that number.

\newline

Answer:

Understand Percentage Relationship: Understand the relationship between percentages and the number. $\newline$ If $60\%$ of a number is $30$ , we can set up an equation to find the full number. Let's call the number ' $x$ '. $\newline$ $60\%$ of $x$ = $30$ $\newline$ This can be written as $0.60 \times x = 30$ .
Solve Equation for Full Number: Solve the equation to find the full number. $\newline$ $0.60 \times x = 30$ $\newline$ To find 'x', we divide both sides of the equation by $0.60$ . $\newline$ $x = \frac{30}{0.60}$ $\newline$ $x = 50$
Find $10$ % of Number: Find $10$ % of the number. $\newline$ Now that we know the full number is $50$ , we can find $10$ % of it. $\newline$ $10\%$ of $x$ = $10\%$ of $50$ $\newline$ This can be written as $0.10 \times 50$ .
Calculate $10$ % of $50$ : Calculate $10\%$ of $50$ . $\newline$ $0.10 \times 50 = 5$ $\newline$ So, $10\%$ of the number is $5$ .

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