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 Rs. 4,00,000, the share of C is

Options

A. Rs.1,12,500
B. Rs.1,37,500
C. Rs. 90,000
D. Rs. 2,70,000

Answer

To solve the problem, we need to determine the share of C in a partnership where the profits are distributed in a specific ratio. The given ratios are:

\[ \frac{A's \, share}{B's \, share} = \frac{B's \, share}{C's \, share} = \frac{C's \, share}{D's \, share} = \frac{1}{3} \]

### Step 1: Define the shares in terms of a variable
Let the shares of A, B, C, and D be represented as follows:

- \( A's \, share = x \)
- \( B's \, share = 3x \) (since \( A's \, share / B's \, share = 1/3 \))
- \( C's \, share = 3 \times 3x = 9x \) (since \( B's \, share / C's \, share = 1/3 \))
- \( D's \, share = 3 \times 9x = 27x \) (since \( C's \, share / D's \, share = 1/3 \))

### Step 2: Write the total share
Now, we can sum up all the shares:

\[ Total \, shares = A's \, share + B's \, share + C's \, share + D's \, share = x + 3x + 9x + 27x = 40x \]

### Step 3: Set up the equation with total profit
We know that the total profit is Rs. 4,00,000. Therefore, we can set up the equation:

\[ 40x = 4,00,000 \]

### Step 4: Solve for x
Now, we solve for \( x \):

\[ x = \frac{4,00,000}{40} = 10,000 \]

### Step 5: Calculate 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
The share of C is Rs. 90,000.

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