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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 A and B ?

15 : 7
27 : 9
312 : 11
416 : 13

Answer:- 1

Explanation:-

Solution:

Let the basic salaries of A and B be Rs. x and Rs. y respectively.
Then,
= x + 65% of x = y + 80% of y

\begin{aligned} \Rightarrow \frac{165}{100} x = \frac{180}{100} y \\ \Rightarrow 165 x = 180 y \\ \Rightarrow \frac{x}{y} = \frac{180}{165} = \frac{12}{11} \\ ∴ Required ratio \\ = 12 : 11 \end{aligned}

$\eqalign{ & \Rightarrow \frac{{165}}{{100}}x = \frac{{180}}{{100}}y \cr & \Rightarrow 165x = 180y \cr & \Rightarrow \frac{x}{y} = \frac{{180}}{{165}} = \frac{{12}}{{11}} \cr & \therefore {\text{Required ratio}} \cr & = 12:11 \cr}$

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

Solution:

Let the basic salaries of A and B be Rs. x and Rs. y respectively.
Then,
= x + 65% of x = y + 80% of y

\begin{aligned} \Rightarrow \frac{165}{100} x = \frac{180}{100} y \\ \Rightarrow 165 x = 180 y \\ \Rightarrow \frac{x}{y} = \frac{180}{165} = \frac{12}{11} \\ ∴ Required ratio \\ = 12 : 11 \end{aligned}

$\eqalign{ & \Rightarrow \frac{{165}}{{100}}x = \frac{{180}}{{100}}y \cr & \Rightarrow 165x = 180y \cr & \Rightarrow \frac{x}{y} = \frac{{180}}{{165}} = \frac{{12}}{{11}} \cr & \therefore {\text{Required ratio}} \cr & = 12:11 \cr}$ ", "dateCreated": "7/24/2019 10:09:12 AM" } }

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