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If
65% of a number is 234 and
15% of the same number is 54 , find
80% of that number.
Answer:

If $65 \%$ of a number is $234$ and $15 \%$ of the same number is $54$ , find $80 \%$ of that number. $\newline$ Answer:

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Find the total given a part and a percent

Full solution

Q. If

65 \%

of a number is

234

and

15 \%

of the same number is

54

, find

80 \%

of that number.

\newline

Answer:

Find Number Value: Find the value of the number based on the given percentage and its corresponding value. $\newline$ We know that $65\%$ of the number is $234$ . To find the value of the number, we can set up the equation: $\newline$ $65\%$ of number = $234$ $\newline$ $0.65 \times \text{number} = 234$ $\newline$ $\text{number} = \frac{234}{0.65}$
Calculate Number: Calculate the value of the number. $\newline$ number = $\frac{234}{0.65}$ $\newline$ number = $360$
Verify Calculation: Verify the calculation with the second percentage given. $\newline$ We are given that $15\%$ of the same number is $54$ . Let's check if our calculated number is correct. $\newline$ $15\%$ of number = $54$ $\newline$ $0.15 \times \text{number} = 54$ $\newline$ $0.15 \times 360 = 54$ $\newline$ $54 = 54$ $\newline$ This confirms our calculation of the number is correct.
Calculate $80$ %: Calculate $80\%$ of the number. $\newline$ Now that we know the number is $360$ , we can find $80\%$ of it. $\newline$ $80\%$ of number $= 0.80 \times$ number $\newline$ $80\%$ of number $= 0.80 \times 360$ $\newline$ $80\%$ of number $= 288$

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