A starts a small business with Rs. 3600. At the end of few months from the start of business, B joined the business with Rs. 4000. If the a… — Answer & Discussion

A starts a small business with Rs. 3600. At the end of few months from the start of business, B joined the business with Rs. 4000. If the annual profit between A and B was divided between them in the respective ratio of 6 : 5, then B joined the business after how many months from the start of the business?

AFour
BTwo
CSix
DFive

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Discussion 1

CCommunity22 May 2019

Solution
Let B remained in the business for $x$ months.
Amount invested by A = Rs. 3600
Amount invested by B = Rs. 4000
Ratio of share in profit received by A and B
=> $\frac{3600 \times 12}{4000 \times x} = \frac{6}{5}$
=> $\frac{9 \times 2}{10 \times x} = \frac{1}{5}$
=> $x = \frac{18 \times 5}{10} = 9$
$\therefore$ B joined the business after = $12 - 9 = 3$ months from the start of the business.