Three partners started a business with 80000. At the end of the year, they receive 1800, 3000, 4800 as profit. Find the investment of the second person.

Options

A. 20000
B. 25000
C. 27000
D. 32000

Answer

To find the investment of the second person among three partners who started a business with a total investment of 80,000 and received profits of 1,800, 3,000, and 4,800 respectively, we can follow these steps:

### Step 1: Identify the total profit and the individual profits
The profits received by the three partners are:
- Partner 1: 1,800
- Partner 2: 3,000
- Partner 3: 4,800

### Step 2: Determine the ratio of profits
The ratio of their profits can be expressed as:
- Profit ratio = 1,800 : 3,000 : 4,800

### Step 3: Simplify the profit ratio
To simplify the ratio, we can divide each term by 600 (the greatest common divisor):
- 1,800 ÷ 600 = 3
- 3,000 ÷ 600 = 5
- 4,800 ÷ 600 = 8

Thus, the simplified profit ratio is:
- Profit ratio = 3 : 5 : 8

### Step 4: Express the investments in terms of a variable
Let the investments of the three partners be represented as:
- Partner 1: 3x
- Partner 2: 5x
- Partner 3: 8x

### Step 5: Set up the equation for total investment
According to the problem, the total investment is 80,000. Therefore, we can write the equation:
- 3x + 5x + 8x = 80,000

### Step 6: Combine like terms
Combining the terms gives:
- 16x = 80,000

### Step 7: Solve for x
To find the value of x, divide both sides of the equation by 16:
- x = 80,000 ÷ 16
- x = 5,000

### Step 8: Calculate the investment of the second person
Now, we can find the investment of the second partner:
- Investment of Partner 2 = 5x = 5 * 5,000 = 25,000

### Final Answer
The investment of the second person is **25,000**.

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