‘A’ began business with Rs. 45,000 and was later joined by ‘B’ with Rs. 54,000. When did B join if the profit at the end of the year were divided in the ratio 2: 1?
Question
‘A’ began business with Rs. 45,000 and was later joined by ‘B’ with Rs. 54,000. When did B join if the profit at the end of the year were divided in the ratio 2: 1?
Solution
To solve this problem, we need to understand that the profit share of a business is divided based on the capital invested and the time period for which the capital was invested.
Given that A started the business with Rs. 45,000 and B joined later with Rs. 54,000, and the profit was divided in the ratio 2:1 (A:B), we can set up the following equation:
(45000 * 12) / (54000 * t) = 2 / 1
Where t is the time in months that B's money was invested in the business.
Solving for t, we get:
t = (45000 * 12) / (54000 * 2) t = 5 months
So, B must have joined the business 5 months before the end of the year.
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