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If
25% of a number is 40 and
60% of the same number is 96 , find
35% of that number.
Answer:

If $25 \%$ of a number is $40$ and $60 \%$ of the same number is $96$ , find $35 \%$ 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

40

and

60 \%

of the same number is

96

, find

35 \%

of that number.

\newline

Answer:

Find Number Value: First, we need to find the value of the number based on the information that $25\%$ of it is $40$ . To do this, we set up the equation $0.25 \times \text{number} = 40$ . Solving for the number, we divide both sides of the equation by $0.25$ . $\text{number} = \frac{40}{0.25}$ $\text{number} = 160$
Verify Second Information: Next, we verify the second piece of information that $60\%$ of the same number is $96$ . We check this by calculating $0.60 \times \text{number}$ . $0.60 \times 160 = 96$ This confirms that the second piece of information is consistent with the number we found.
Calculate $35$ % of Number: Now that we have confirmed the number is $160$ , we can find $35\%$ of this number. $\newline$ To do this, we calculate $0.35 \times \text{number}$ . $\newline$ $0.35 \times 160 = 56$ $\newline$ Therefore, $35\%$ of the number is $56$ .

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