A, B and C started a business by investing Rs. 120000 Rs. 135000 and Rs. 150000 respectively. Find the share of each, out of an annual profit of Rs. 56,700.

Answer

To solve the problem of finding the share of A, B, and C from an annual profit of Rs. 56,700 based on their investments, follow these steps:

### Step 1: Determine the investments of A, B, and C.
- A's investment = Rs. 120,000
- B's investment = Rs. 135,000
- C's investment = Rs. 150,000

### Step 2: Calculate the ratio of their investments.
To find the ratio, we can express their investments in simpler terms:
- A : B : C = 120000 : 135000 : 150000

To simplify this ratio, we can divide each term by 15,000:
- A : B : C = (120000 ÷ 15000) : (135000 ÷ 15000) : (150000 ÷ 15000)
- A : B : C = 8 : 9 : 10

### Step 3: Find the total parts in the ratio.
Now, add the parts of the ratio together:
- Total parts = 8 + 9 + 10 = 27

### Step 4: Calculate the value of one part.
To find the value of one part, divide the total profit by the total parts:
- Value of one part = Total Profit / Total Parts
- Value of one part = 56700 / 27
- Value of one part = Rs. 2100

### Step 5: Calculate the share of each partner.
Now, we can calculate the share of each partner by multiplying the value of one part by their respective ratio parts.

- A's share = 8 parts = 8 × 2100 = Rs. 16,800
- B's share = 9 parts = 9 × 2100 = Rs. 18,900
- C's share = 10 parts = 10 × 2100 = Rs. 21,000

### Final Shares:
- A's share = Rs. 16,800
- B's share = Rs. 18,900
- C's share = Rs. 21,000