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If a% of x is equal to b% of y, then of c% of y is what % of x ?

1c%
2(ac/b)%
3(bc/a)%
4abc%

Answer:- 1

Explanation:-

Solution:

\begin{aligned} \frac{(a x)}{100} = \frac{(b y)}{100} \\ o r, a x = b y \\ \Rightarrow y = \frac{(a x)}{b} \\ c % of y = \frac{(c y)}{100} \\ o r, \frac{(c y)}{100} = \frac{(c a x)}{100 b} \\ Thus, \\ c % of y = \frac{c a}{b} % of x \end{aligned}

$\eqalign{ & \frac{{\left( {ax} \right)}}{{100}} = \frac{{\left( {by} \right)}}{{100}} \cr & or,\,ax = by \cr & \Rightarrow y = \frac{{\left( {ax} \right)}}{b} \cr & c\% \,{\text{of}}\,y = \frac{{\left( {cy} \right)}}{{100}} \cr & or,\,\frac{{\left( {cy} \right)}}{{100}} = \frac{{\left( {cax} \right)}}{{100b}} \cr & {\text{Thus}}, \cr & c\% \,{\text{of}}\,y = \frac{{ca}}{b}\% \,{\text{of}}\,x \cr}$

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", "dateCreated": "7/24/2019 10:09:12 AM", "author": { "@type": "Person", "name": "Nitin Sir" } }, "suggestedAnswer": { "@type": "Answer", "text": "

Solution:

\begin{aligned} \frac{(a x)}{100} = \frac{(b y)}{100} \\ o r, a x = b y \\ \Rightarrow y = \frac{(a x)}{b} \\ c % of y = \frac{(c y)}{100} \\ o r, \frac{(c y)}{100} = \frac{(c a x)}{100 b} \\ Thus, \\ c % of y = \frac{c a}{b} % of x \end{aligned}

$\eqalign{ & \frac{{\left( {ax} \right)}}{{100}} = \frac{{\left( {by} \right)}}{{100}} \cr & or,\,ax = by \cr & \Rightarrow y = \frac{{\left( {ax} \right)}}{b} \cr & c\% \,{\text{of}}\,y = \frac{{\left( {cy} \right)}}{{100}} \cr & or,\,\frac{{\left( {cy} \right)}}{{100}} = \frac{{\left( {cax} \right)}}{{100b}} \cr & {\text{Thus}}, \cr & c\% \,{\text{of}}\,y = \frac{{ca}}{b}\% \,{\text{of}}\,x \cr}$ ", "dateCreated": "7/24/2019 10:09:12 AM" } }

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