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A began a business with Rs. 85000, he was joined afterwards by B with Rs. 42500. For how much period does B join, if the profits at the end of the year are divided in the ratio of 3 : 1 ?

14 months
25 months
36 months
48 months

Answer:- 1

Explanation:-

Solution:

\begin{aligned} Suppose B joined for x months \\ Then, \\ \Rightarrow \frac{85000 \times 12}{42500 \times x} = \frac{3}{1} \\ \Rightarrow x = \frac{85000 \times 12}{42500 \times 3} \\ \Rightarrow x = 8 \\ So, B joined for 8 months \end{aligned}

$\eqalign{ & {\text{Suppose B joined for }}x{\text{ months}} \cr & {\text{Then,}} \cr & \Rightarrow \frac{{85000 \times 12}}{{42500 \times x}} = \frac{3}{1} \cr & \Rightarrow x = \frac{{85000 \times 12}}{{42500 \times 3}} \cr & \Rightarrow x = 8 \cr & {\text{So, B joined for 8 months}} \cr}$

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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} Suppose B joined for x months \\ Then, \\ \Rightarrow \frac{85000 \times 12}{42500 \times x} = \frac{3}{1} \\ \Rightarrow x = \frac{85000 \times 12}{42500 \times 3} \\ \Rightarrow x = 8 \\ So, B joined for 8 months \end{aligned}

$\eqalign{ & {\text{Suppose B joined for }}x{\text{ months}} \cr & {\text{Then,}} \cr & \Rightarrow \frac{{85000 \times 12}}{{42500 \times x}} = \frac{3}{1} \cr & \Rightarrow x = \frac{{85000 \times 12}}{{42500 \times 3}} \cr & \Rightarrow x = 8 \cr & {\text{So, B joined for 8 months}} \cr}$ ", "dateCreated": "7/24/2019 10:09:12 AM" } }

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