Question

A, B, and C enter into a partnership, with A investing 3 times as much as B, and B investing two-thirds of what C invests. At the end of the year, the profit earned is Rs 6600. What is the share of B?

Answer 1

B's share of the profit is approximately Rs 1226.77

Step-by-step explanation:

To find the share of B, we need to determine the ratio of B's investment to the total investment made by A, B, and C.

Let's assume:

B's investment = x

C's investment = 3/2 * x (since B invests two-thirds of what C invests)

The total investment is given as 6600, so we have the equation:

x + 3/2 * x + 3 * x = 6600

Simplifying the equation, we get:

13/2 * x = 6600

x = 13200 / 13 = 1015.38

B's share of the profit is equal to B's investment divided by the total investment multiplied by the total profit:

Share of B = (x / (x + 3/2 * x + 3 * x)) * 6600

Substituting the value of x, we get:

Share of B = (1015.38 / (1015.38 + 1.5 * 1015.38 + 3 * 1015.38)) * 6600

Calculating this expression gives B's share of the profit as approximately Rs 1226.77.