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A, B and C together start a business. Three times the investment of A equal four times the investment of B and the capital of B is twice that of C. The ratio of share of each in the profit ?

18 : 3 : 6
23 : 8 : 6
33 : 6 : 8
48 : 6 : 3

Answer:- 1

Explanation:-

Solution:

\begin{aligned} 3A = 4B \\ B = 2C \\ \frac{A}{B} = \frac{4}{3} \\ \frac{B}{C} = \frac{2}{1} \\ A B C \\ 4 3 \\ 2 1 \\ 8 : 6 : 3 \end{aligned}

$\eqalign{ & {\text{3A}} = {\text{4B}} \cr & {\text{B}} = {\text{2C}} \cr & \frac{{\text{A}}}{{\text{B}}} = \frac{4}{3} \cr & \frac{{\text{B}}}{{\text{C}}} = \frac{2}{1} \cr & {\text{A}}\,\,\,\,\,\,\,\,{\text{B}}\,\,\,\,\,\,\,\,{\text{C}} \cr & {\text{4}}\,\,\,\,\,\,\,\,\,\,{\text{3}} \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,{\text{2}}\,\,\,\,\,\,\,\,\,\,{\text{1}} \cr & \boxed{{\text{8}}\,\,:\,\,6\,\,\,:\,\,\,3\,} \cr}$

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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} 3A = 4B \\ B = 2C \\ \frac{A}{B} = \frac{4}{3} \\ \frac{B}{C} = \frac{2}{1} \\ A B C \\ 4 3 \\ 2 1 \\ 8 : 6 : 3 \end{aligned}

$\eqalign{ & {\text{3A}} = {\text{4B}} \cr & {\text{B}} = {\text{2C}} \cr & \frac{{\text{A}}}{{\text{B}}} = \frac{4}{3} \cr & \frac{{\text{B}}}{{\text{C}}} = \frac{2}{1} \cr & {\text{A}}\,\,\,\,\,\,\,\,{\text{B}}\,\,\,\,\,\,\,\,{\text{C}} \cr & {\text{4}}\,\,\,\,\,\,\,\,\,\,{\text{3}} \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,{\text{2}}\,\,\,\,\,\,\,\,\,\,{\text{1}} \cr & \boxed{{\text{8}}\,\,:\,\,6\,\,\,:\,\,\,3\,} \cr}$ ", "dateCreated": "7/24/2019 10:09:12 AM" } }

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