A, B and C subscribes ₹ 47000 for a business. If A subscribes ₹ 7000 more than B and B ₹ 5000 more than C , then out of profit of ₹ 4700, C receives:

Options

A. ₹ 1200
B. ₹ 4500
C. ₹ 1000
D. none of the above

Answer

To solve the problem step by step, we need to determine how much each person (A, B, and C) contributed to the total subscription of ₹47,000, and then calculate how much C receives from the profit of ₹4,700.

### Step 1: Define the contributions
Let:
- C's contribution = x
- B's contribution = x + 5,000 (since B contributes ₹5,000 more than C)
- A's contribution = (x + 5,000) + 7,000 = x + 12,000 (since A contributes ₹7,000 more than B)

### Step 2: Set up the equation
Now, we can express the total contributions:
\[ A + B + C = 47,000 \]
Substituting the values we defined:
\[ (x + 12,000) + (x + 5,000) + x = 47,000 \]

### Step 3: Simplify the equation
Combine like terms:
\[ 3x + 17,000 = 47,000 \]

### Step 4: Solve for x
Subtract ₹17,000 from both sides:
\[ 3x = 47,000 - 17,000 \]
\[ 3x = 30,000 \]
Now, divide by 3:
\[ x = 10,000 \]

### Step 5: Calculate individual contributions
Now that we have C's contribution:
- C = ₹10,000
- B = x + 5,000 = 10,000 + 5,000 = ₹15,000
- A = x + 12,000 = 10,000 + 12,000 = ₹22,000

### Step 6: Determine the profit share
The total profit is ₹4,700. The ratio of their contributions is:
- A : B : C = 22,000 : 15,000 : 10,000

### Step 7: Calculate the total parts
Total parts = 22,000 + 15,000 + 10,000 = 47,000

### Step 8: Calculate C's share of the profit
C's share of the profit can be calculated using the ratio of C's contribution to the total contribution:
\[ C's \, share = \left( \frac{C's \, contribution}{Total \, contribution} \right) \times Total \, profit \]
\[ C's \, share = \left( \frac{10,000}{47,000} \right) \times 4,700 \]
\[ C's \, share = \frac{10,000 \times 4,700}{47,000} \]
\[ C's \, share = \frac{47,000,000}{47,000} \]
\[ C's \, share = 1,000 \]

### Final Answer
C receives ₹1,000 from the profit.

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