If $ 3 4 $ of the number of women working at company X is equal to $ 2 3 $ of the number of men. What fraction of the employees at company X are women ?

If $ 3 4 $ of the number of women worki… | Answer

Subject

Bank Exam

Topic

City Bank Ltd. - Management Trainee Officer - 2018

If $\frac{3}{4}$ of the number of women working at company X is equal to $\frac{2}{3}$ of the number of men. What fraction of the employees at company X are women ?
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ক)

$\frac{5}{{12}}$

খ)

$\frac{1}{2}$

গ)

$\frac{7}{{12}}$

ঘ)

$\frac{8}{{17}}$

ঙ)

None of these

Explanation

Solution: প্রশ্নে বলা হচ্ছে যে, একটি কোম্পানিতে কর্মরত শ্রমিকের মধ্যে নারী শ্রমিকের

\frac{3}{4}

অংশ পুরুষ শ্রমিকের

\frac{2}{3}

অংশের সমান । ঐ কোম্পানির কত অংশ শ্রমিক নারী ? ধরি, নারী শ্রমিকের সংখ্যা x জন এবং পুরুষ শ্রমিকের সংখ্যা y জন তাহলে মোট শ্রমিক সংখ্যা হবে (x + y) জন আমাদের বের করতে হবে ঐ কোম্পানির কত অংশ শ্রমিকের নারী অর্থাৎ =

(\frac{x}{{x + y}})

প্রশ্নমতে,

\frac{{3x}}{4} = \frac{{2y}}{3}

=> y =

\frac{{9x}}{8}

এখন,

(\frac{x}{{x + y}}) = \frac{x}{{x + \frac{{9x}}{8}}} = \frac{x}{{\frac{{8x + 9x}}{8}}} = \frac{x}{{\frac{{17x}}{8}}} = \frac{8}{{17}}

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If 34\frac{3}{4}43​ of the number of women working at company X is equal to 23\frac{2}{3}32​ of the number of men. What fraction of the employees at company X are women ?Reading

If 34\frac{3}{4}43​ of the number of women working at company X is equal to 23\frac{2}{3}32​ of the number of men. What fraction of the employees at company X are women ?

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If $\frac{3}{4}$ of the number of women working at company X is equal to $\frac{2}{3}$ of the number of men. What fraction of the employees at company X are women ?
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If $\frac{3}{4}$ of the number of women working at company X is equal to $\frac{2}{3}$ of the number of men. What fraction of the employees at company X are women ?