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If
85% of a number is 170 and
95% of the same number is 190 , find
10% of that number.
Answer:

If $85 \%$ of a number is $170$ and $95 \%$ of the same number is $190$ , find $10 \%$ of that number. $\newline$ Answer:

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Find the total given a part and a percent

Full solution

Q. If

85 \%

of a number is

170

and

95 \%

of the same number is

190

, find

10 \%

of that number.

\newline

Answer:

Find Number Value: Find the value of the number based on $85\%$ being equal to $170$ . To do this, we set up the equation $0.85 \times \text{number} = 170$ and solve for the number. $\text{number} = \frac{170}{0.85}$ $\text{number} = 200$
Verify with $95$ %: Verify the number by checking if $95\%$ of it is indeed $190$ . We use the equation $0.95 \times \text{number} = 190$ and substitute the number we found in Step $1$ . $0.95 \times 200 = 190$ $190 = 190$ This confirms that the number we found is correct.
Calculate $10$ %: Calculate $10$ % of the number. $\newline$ Now that we know the number is $200$ , we find $10$ % of it by multiplying the number by $0.10$ . $\newline$ $10\%$ of number = $0.10 \times 200$ $\newline$ $10\%$ of number = $20$

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