If x is $90 %$ of y, then what percent of x is y?

90 %

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190 %

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10 \frac{1}{9} %

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111 \frac{1}{9} %

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Solution

The correct option is D $111 \frac{1}{9} %$
solution: x is $90 %$ of y

$so x = \frac{90}{100} y$

$\Rightarrow \frac{100}{90} x = y$

$\Rightarrow \frac{100}{90} \times \frac{100}{100} x = y$

$\Rightarrow \frac{1000}{9} \times \frac{1}{100} x = y$

so $\frac{1000}{9} %$ of x is y

or y is $111 \frac{1}{9} %$ of x

$∴$ Answer: option (D)

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If x is 90% of y, then what percent of x is y?

The correct option is D 11119%solution: x is 90% of y so x=90100y ⇒10090x=y ⇒10090×100100x=y ⇒10009×1100x=y so 10009% of x is y or y is 11119%of x ∴Answer: option (D)

If x is $90 %$ of y, then what percent of x is y?