Amit started a business by investing Rs. 30,000. Rahul joined the business after some time and invested Rs. 20

Question

Amit started a business by investing Rs. 30,000. Rahul joined the business after some time and invested Rs. 20,000. At the end of the year, profit was divided in the ratio of 2:1. After how many months did Rahul joined the business?

Accepted Answer

The profit in a partnership is divided based on the product of the investment amount and the time period for which the money was invested.

Let Amit investment be 30,000 for 12 months.
Let Rahul investment be 20,000 for x months.

According to the partnership rule:
Amit Profit / Rahul Profit = (Amit Investment * Amit Time) / (Rahul Investment * Rahul Time)

Substituting the values:
2 / 1 = (30,000 * 12) / (20,000 * x)
2 / 1 = 360,000 / 20,000x
2 / 1 = 18 / x
2x = 18
x = 9 months

Rahul invested his money for 9 months. Since the total business duration was 12 months, Rahul joined the business after 12 minus 9, which equals 3 months.

Therefore, Rahul joined the business after 3 months. The correct option is B.

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5

Amit started a business by investing Rs. 30,000. Rahul joined the business after some time and invested Rs. 20,000. At the end of the year, profit was divided in the ratio of 2:1. After how many months did Rahul joined the business?

Explanation

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