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The total number of boys in a school is 16% more than the total number of girls in the school. What is the respective ratio of the total number of boys to the total number of girls in the school ?

125 : 21
229 : 35
325 : 29
4None of these

Answer:- 1

Explanation:-

Solution:

Let the number of girls be x.
Then,

\begin{aligned} Number of boys \\ = 116 % of x = \frac{29}{25} x . \\ ∴ Required ratio \\ = \frac{29}{25} x : x \\ = 29 : 25. \end{aligned}

$\eqalign{ & {\text{Number of boys}} \cr & = 116\% {\text{ of }}x = \frac{{29}}{{25}}x. \cr & \therefore {\text{Required ratio}} \cr & = \frac{{29}}{{25}}x:x \cr & = 29:25. \cr}$

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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 number of girls be x.
Then,

\begin{aligned} Number of boys \\ = 116 % of x = \frac{29}{25} x . \\ ∴ Required ratio \\ = \frac{29}{25} x : x \\ = 29 : 25. \end{aligned}

$\eqalign{ & {\text{Number of boys}} \cr & = 116\% {\text{ of }}x = \frac{{29}}{{25}}x. \cr & \therefore {\text{Required ratio}} \cr & = \frac{{29}}{{25}}x:x \cr & = 29:25. \cr}$ ", "dateCreated": "7/24/2019 10:09:12 AM" } }

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