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If
65% of a number is 234 and
10% of the same number is 36 , find
75% of that number.
Answer:

If $65 \%$ of a number is $234$ and $10 \%$ of the same number is $36$ , find $75 \%$ 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

10 \%

of the same number is

36

, find

75 \%

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 $65\%$ of a 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 given percentage and value. $\newline$ We are also given that $10\%$ of the same number is $36$ . Let's check if our calculated number is correct. $\newline$ $10\%$ of number = $36$ $\newline$ $0.10 \times \text{number} = 36$ $\newline$ $0.10 \times 360 = 36$ $\newline$ $36 = 36$ $\newline$ This confirms that our calculation of the number is correct.
Calculate $75$ %: Calculate $75\%$ of the number. $\newline$ Now that we know the number is $360$ , we can find $75\%$ of it. $\newline$ $75\%$ of number = $0.75 \times$ number $\newline$ $75\%$ of number = $0.75 \times 360$
Evaluate Expression: Evaluate the expression to find $75\%$ of the number. $\newline$ $75\%$ of number $= 0.75 \times 360$ $\newline$ $75\%$ of number $= 270$

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