In a business partnership among A, B, C and D, the profit is shared as follows:
`(A's share)/(B's share)=(B's share)/(C's share) =(C's share)/(D's share) =1/3`
If the total profit is 4,00,000. then, the share of C is

Options

A. 1,12,500
B. 1,37,500
C. 90000
D. 2,70,000

Answer

To solve the problem, we need to determine the shares of A, B, C, and D based on the given ratios and then find C's share from the total profit.

### Step-by-Step Solution:

1. **Understanding the Ratio**:
Given that:
\[ \frac{A's \, share}{B's \, share} = \frac{B's \, share}{C's \, share} = \frac{C's \, share}{D's \, share} = \frac{1}{3} \]
This means:
- Let \( A's \, share = x \)
- Then \( B's \, share = 3x \)
- \( C's \, share = 3 \times B's \, share = 3 \times 3x = 9x \)
- \( D's \, share = 3 \times C's \, share = 3 \times 9x = 27x \)

2. **Finding Total Shares**:
Now, we can express the total profit in terms of \( x \):
\[ A's \, share + B's \, share + C's \, share + D's \, share = x + 3x + 9x + 27x = 40x \]

3. **Setting Up the Equation**:
The total profit is given as 4,00,000. Therefore, we can set up the equation:
\[ 40x = 4,00,000 \]

4. **Solving for \( x \)**:
To find \( x \), we divide both sides of the equation by 40:
\[ x = \frac{4,00,000}{40} = 10,000 \]

5. **Calculating C's Share**:
Now that we have \( x \), we can find C's share:
\[ C's \, share = 9x = 9 \times 10,000 = 90,000 \]

### Final Answer:
C's share is **90,000**.

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