Percentage Practice

Algebra Level 2

If a number x is 10% of y, what percent of 5y is 10x?

25% 30% 20% 15% 10%

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3 solutions

x = 10 % y = x = 10\% * y = 1 10 \frac{1}{10} y = y = y 10 \frac{y}{10}

10 x = 10x = y 10 \frac{y}{10} 5 = * 5 = 5 y 10 \frac{5y}{10} = = y 2 \frac{y}{2}

2 ( 10 x ) = y 2(10x) = y

20 x = y 20x = y

x = x = y 20 \frac{y}{20} = = 1 20 \frac{1}{20} y * y = = 20 100 \frac{20}{100} y * y = 20 % y = 20\% * y

Therefore, the answer is 20 % 20\% .

If x is 10% of y, then 10x is 100% of y, and 10x is 20% of 5y.

X X is 10 % 10\% of Y Y , therefore Y Y = 10 X 10X . 10 X 5 Y \frac{10X}{5Y} = Y 5 Y \frac{Y}{5Y} = 1 5 \frac{1}{5} , therefore the answer is

20 % 20\%

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