Question

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

• A. 2400
• B. 6600
• C. 1200
• D. None of these

Answer 1

The Correct Option is C

Investment and Profit Sharing Calculation

Step 1: Define the Investments 

• Let C be the investment of C.
• B’s investment is two-thirds of C’s investment:
• A’s investment is three times B’s investment:

Step 2: Calculate the Total Investment

\[ \text{Total Investment} = A + B + C \]

\[ = 2C + \frac{2}{3}C + C \]

\[ = \frac{6C}{3} + \frac{2C}{3} + \frac{3C}{3} = \frac{11C}{3} \]

Step 3: Determine the Ratio of Investments

\[ A : B : C = 2C : \frac{2}{3}C : C \]

Multiplying each term by 3 to eliminate the fraction:

\[ (2C \times 3) : ( \frac{2}{3} C \times 3) : (C \times 3) \]

\[ 6 : 2 : 3 \]

Thus, the investment ratio is 6 : 2 : 3.

Step 4: Calculate B’s Share of the Profit

• Total parts in the ratio = 6 + 2 + 3 = 11
• B’s share in the total profit of Rs. 6600:

\[ \frac{2}{11} \times 6600 = 1200 \]

Final Answer

B’s share of the profit is Rs. 1200.