Question

if x%of 1/y =16 2/3% of 1/150 then what percent of y is x​

Answer 1

SOLUTION

GIVEN

$\displaystyle \sf{x \% \: \: \: of \: \: \: \frac{1}{y} = 16 \frac{2}{3} \% \: \: \: of \: \: \frac{1}{50} }$

TO DETERMINE

The percentage of y is x

EVALUATION

Here it is given that

$\displaystyle \sf{x \% \: \: \: of \: \: \: \frac{1}{y} = 16 \frac{2}{3} \% \: \: \: of \: \: \frac{1}{50} }$

$\displaystyle \sf{ \implies \frac{1}{y} \times \frac{x}{100} = \frac{1}{50} \times \frac{ \frac{50}{3} }{100} }$

$\displaystyle \sf{ \implies \frac{x}{y} = \frac{1}{50} \times \frac{50}{3} }$

$\displaystyle \sf{ \implies \frac{x}{y} = \frac{1}{3} }$

Let x is r% of y

$\displaystyle \sf{ \implies \: y \times \frac{r}{100} = x }$

$\displaystyle \sf{ \implies \: \frac{r}{100} = \frac{x}{y} }$

$\displaystyle \sf{ \implies \: \frac{r}{100} = \frac{1}{3} }$

$\displaystyle \sf{ \implies \: r = \frac{100}{3} }$

$\displaystyle \sf{ \implies \: r = 33\frac{1}{3} }$

So the required percentage

$\displaystyle \sf{ = 33 \frac{1}{3} \% }$

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Answer 2

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