A,B, and C shared a total of Rs. 6024. Share of A is one-third of the total money and share of B is half of the total money. Find the share of C.

Options

A. Rs. 1004
B. Rs. 104
C. Rs. 208
D. Rs. 2008

Answer

To solve the problem step by step, we will first determine the shares of A and B, and then find the share of C.

**Step 1: Calculate the share of A.**
- The share of A is given as one-third of the total money.
- Total money = Rs. 6024
- Share of A = (1/3) × 6024

**Calculation:**
\[ \text{Share of A} = \frac{6024}{3} = 2008 \]

**Step 2: Calculate the share of B.**
- The share of B is given as half of the total money.
- Share of B = (1/2) × 6024

**Calculation:**
\[ \text{Share of B} = \frac{6024}{2} = 3012 \]

**Step 3: Calculate the total share of A and B.**
- Total share of A and B = Share of A + Share of B

**Calculation:**
\[ \text{Total share of A and B} = 2008 + 3012 = 5020 \]

**Step 4: Calculate the share of C.**
- The share of C can be found by subtracting the total share of A and B from the total money.
- Share of C = Total money - Total share of A and B

**Calculation:**
\[ \text{Share of C} = 6024 - 5020 = 1004 \]

Thus, the share of C is Rs. 1004.

### Summary of Shares:
- Share of A = Rs. 2008
- Share of B = Rs. 3012
- Share of C = Rs. 1004

### Final Answer:
The share of C is Rs. 1004.

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