A began business with ₹20,000 and was joined later by B with ₹40,000. After how many months did B join if the profits at the end of the year were divided in the ratio 2:1?

Correct answer: 9

Solution

In partnership, profit is divided in the ratio of capital multiplied by time. A's contribution is ₹20,000 for 12 months, and B's contribution is ₹40,000 for (12 - x) months. So, 20000×12 : 40000×(12-x) = 2:1, which gives 240000 : 40000(12-x) = 2:1.

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