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If Rs. x are divided between A and B in the ratio ^a/_b : ^c/_d , then A gets rupees -

1^adx/_{(ab + cd)}
2^adx/_{(ad + bc)}
3^abx/_{(ad + bc)}
4^abx/_{(ac + bd)}

Answer:- 1

Explanation:-

Solution:

\begin{aligned} A : B = \frac{a}{b} : \frac{c}{d} \\ = (\frac{a}{b} \times b d) : (\frac{c}{d} \times b d) \\ = a d : b c . \\ ∴ A's share \\ = R s . (\frac{a d x}{a d + b c}) . \end{aligned}

$\eqalign{ & {\text{A}}:{\text{B}} = \frac{a}{b}:\frac{c}{d} \cr & = \left( {\frac{a}{b} \times bd} \right):\left( {\frac{c}{d} \times bd} \right) \cr & = ad:bc. \cr & \therefore {\text{A's share}} \cr & = Rs.\left( {\frac{{adx}}{{ad + bc}}} \right). \cr}$

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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} A : B = \frac{a}{b} : \frac{c}{d} \\ = (\frac{a}{b} \times b d) : (\frac{c}{d} \times b d) \\ = a d : b c . \\ ∴ A's share \\ = R s . (\frac{a d x}{a d + b c}) . \end{aligned}

$\eqalign{ & {\text{A}}:{\text{B}} = \frac{a}{b}:\frac{c}{d} \cr & = \left( {\frac{a}{b} \times bd} \right):\left( {\frac{c}{d} \times bd} \right) \cr & = ad:bc. \cr & \therefore {\text{A's share}} \cr & = Rs.\left( {\frac{{adx}}{{ad + bc}}} \right). \cr}$ ", "dateCreated": "7/24/2019 10:09:12 AM" } }

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