A, B and C enter into a partnership with a capital in which A's contribution is Rs. 10,000. If out of a total profit of , A gets Rs. 500 and B gets Rs300, c gets Rs. 200. then C's capital is :

Options

A. A) 4000
B. B) 5000
C. C) 6000
D. D) 7000

Answer

To find C's capital in the partnership, we can follow these steps:

### Step 1: Understand the Profit Distribution
The profits are distributed among A, B, and C as follows:
- A gets Rs. 500
- B gets Rs. 300
- C gets Rs. 200

### Step 2: Determine the Ratio of Profits
The ratio of profits received by A, B, and C can be expressed as:
- A : B : C = 500 : 300 : 200

### Step 3: Simplify the Ratio
To simplify the ratio, we can divide each term by 100:
- A : B : C = 5 : 3 : 2

### Step 4: Relate the Profit Ratio to Capital Ratio
In a partnership, the profit is distributed in the same ratio as the capital invested. Therefore, we can say:
- Capital of A : Capital of B : Capital of C = 5 : 3 : 2

### Step 5: Assign a Variable to Capital
Let the capital of A, B, and C be represented as:
- A's capital = 5x
- B's capital = 3x
- C's capital = 2x

### Step 6: Use A's Known Capital
We know that A's capital is Rs. 10,000:
- 5x = 10,000

### Step 7: Solve for x
To find the value of x, we can divide both sides by 5:
- x = 10,000 / 5
- x = 2,000

### Step 8: Calculate C's Capital
Now, we can find C's capital using the value of x:
- C's capital = 2x = 2 * 2,000 = 4,000

### Final Answer
C's capital is Rs. 4,000.

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