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X and Y enter into a partnership with capitals in the ratio 5 : 6 and at the end of 8 months, X withdraws. If they receive profit in the ratio of 5 : 9. Find how long Y's capital was used.

18 months
29 months
311 months
412 months

Answer:- 1

Explanation:-

Solution:

Let the capitals of Y was used for T months
According to the question,

\begin{aligned} \frac{5 \times 8}{6 \times T} = \frac{5}{9} \\ \Rightarrow T = 12 months \end{aligned}

$\eqalign{ & \frac{{5 \times 8}}{{6 \times {\text{T}}}}{\text{ = }}\frac{5}{9} \cr & \Rightarrow {\text{T}} = {\text{12 months}} \cr}$
Hence capital of Y was used for = 12 months

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Hence capital of Y was used for = 12 months ", "dateCreated": "7/24/2019 10:09:12 AM", "author": { "@type": "Person", "name": "Nitin Sir" } }, "suggestedAnswer": { "@type": "Answer", "text": "

Solution:

Let the capitals of Y was used for T months
According to the question,

\begin{aligned} \frac{5 \times 8}{6 \times T} = \frac{5}{9} \\ \Rightarrow T = 12 months \end{aligned}

$\eqalign{ & \frac{{5 \times 8}}{{6 \times {\text{T}}}}{\text{ = }}\frac{5}{9} \cr & \Rightarrow {\text{T}} = {\text{12 months}} \cr}$
Hence capital of Y was used for = 12 months ", "dateCreated": "7/24/2019 10:09:12 AM" } }

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