Question

a and b started a partnership business investing some amount in the ratio of 3 : 5. c joined them after six months with an amount equal to that of b. in what proportion should the profit at the end of one year be distributed among a, b and c?

Answer 1

To distribute the profit among a, b, and c, calculate their individual investments and consider the time period of each investment. The profit should be distributed in the ratio of 2:2:1.

Step-by-step explanation:

To determine how the profit should be distributed among a, b, and c, we need to calculate their individual investments.

Let's assume a's investment is x and b's investment is y.

According to the given information, x/y = 3/5. This implies that x = (3/5)y.

c joined after six months with an amount equal to b's. This means c's investment is also y at that time.

Now, to calculate the profit distribution, we need to consider the time period of each partner's investment. a's investment is for the entire year, b's is for the entire year, and c's is for the remaining six months.

So, the profit distribution should be in the ratio of a's investment: b's investment: c's investment, which is (x * 12 months):(y * 12 months):(y * 6 months).

Simplifying, the profit distribution ratio will be (3/5)y * 12 : y * 12 : y * 6.

Further simplifying, the ratio becomes 36:36:18, which can be reduced to 2:2:1.

So, the profit should be distributed among a, b, and c in the proportion of 2:2:1.