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The total emoluments of A and B are equal. However, A gets 65% of his basic salary as allowances and B gets 80% of his basic salary as allowances. What is the ratio of the basic salaries of and B?

116 :13
25 :7
312 :11
47 :9

Answer:- 1

Explanation:-

Solution:

\begin{aligned} Let the basic salaries of A and B be x and y respectively . \\ Now, \\ x + 65 % o f x = y + 80 % of y \\ x + \frac{(65 x)}{100} = y + \frac{(80 y)}{100} \\ \frac{x}{y} = \frac{180}{165} = 12 : 11 \end{aligned}

$\eqalign{ & {\text{Let the basic salaries of A and B be x and y respectively}}. \cr & {\text{Now}}, \cr & x + 65\% \,of\,x = y + 80\% \,{\text{of}}\,y \cr & x + \frac{{\left( {65x} \right)}}{{100}} = y + \frac{{\left( {80y} \right)}}{{100}} \cr & \frac{x}{y} = \frac{{180}}{{165}} = 12:11 \cr}$

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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} Let the basic salaries of A and B be x and y respectively . \\ Now, \\ x + 65 % o f x = y + 80 % of y \\ x + \frac{(65 x)}{100} = y + \frac{(80 y)}{100} \\ \frac{x}{y} = \frac{180}{165} = 12 : 11 \end{aligned}

$\eqalign{ & {\text{Let the basic salaries of A and B be x and y respectively}}. \cr & {\text{Now}}, \cr & x + 65\% \,of\,x = y + 80\% \,{\text{of}}\,y \cr & x + \frac{{\left( {65x} \right)}}{{100}} = y + \frac{{\left( {80y} \right)}}{{100}} \cr & \frac{x}{y} = \frac{{180}}{{165}} = 12:11 \cr}$ ", "dateCreated": "7/24/2019 10:09:12 AM" } }

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