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If
25% of a number is 50 and
65% of the same number is 130 , find
40% of that number.
Answer:

If $25 \%$ of a number is $50$ and $65 \%$ of the same number is $130$ , find $40 \%$ of that number. $\newline$ Answer:

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Find the total given a part and a percent

Full solution

Q. If

25 \%

of a number is

50

and

65 \%

of the same number is

130

, find

40 \%

of that number.

\newline

Answer:

Find Number Value: Find the value of the number based on the given percentage and value. $\newline$ We are given that $25\%$ of a number is $50$ . To find the full value of the number, we can set up the equation: $\newline$ $25\%$ of number = $50$ $\newline$ $0.25 \times \text{number} = 50$ $\newline$ $\text{number} = \frac{50}{0.25}$
Calculate Number: Calculate the value of the number. $\newline$ number = $\frac{50}{0.25}$ $\newline$ number = $200$ $\newline$ We have found that the full value of the number is $200$ .
Verify Percentage: Verify the second percentage given to ensure there is no math error. $\newline$ We are given that $65\%$ of the same number is $130$ . Let's check if this is correct with the number we found: $\newline$ $65\%$ of number $= 130$ $\newline$ $0.65 \times 200 = 130$ $\newline$ $130 = 130$ $\newline$ This confirms that the number we found is correct.
Calculate $40$ %: Calculate $40\%$ of the number. $\newline$ Now that we know the full value of the number is $200$ , we can find $40\%$ of it: $\newline$ $40\%$ of number = $40\%$ of $200$ $\newline$ $0.40 \times 200 = 80$

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