A and B started a business with investments of ₹6000 and ₹9000 respectively The time periods for which A and B invested were in the ratio of 5 : 3. If the annual profit received was ₹4370,then What was A’s share in profit?

Options

A. ₹ 1700
B. ₹ 2700
C. ₹ 1100
D. ₹ 2300

Answer

To solve the problem step by step, we will follow these instructions:

### Step 1: Identify the investments
A's investment = ₹6000
B's investment = ₹9000

### Step 2: Identify the time ratio
The time periods for which A and B invested are in the ratio of 5:3.

### Step 3: Calculate the effective investment
The profit is shared based on the product of investment and time. Therefore, we need to calculate the effective investment for both A and B.

- Effective investment of A = Investment of A × Time period of A
= ₹6000 × 5 = ₹30000

- Effective investment of B = Investment of B × Time period of B
= ₹9000 × 3 = ₹27000

### Step 4: Calculate the total effective investment
Total effective investment = Effective investment of A + Effective investment of B
= ₹30000 + ₹27000 = ₹57000

### Step 5: Determine the profit-sharing ratio
The profit-sharing ratio is based on their effective investments:

- Ratio of A's investment to B's investment = ₹30000 : ₹27000
This can be simplified to 10 : 9 (by dividing both sides by ₹3000).

### Step 6: Calculate A's share of the profit
The total profit received is ₹4370. We need to find A's share in this profit.

- Total parts in the ratio = 10 + 9 = 19 parts

- A's share = (A's ratio / Total ratio) × Total profit
= (10 / 19) × ₹4370

### Step 7: Calculate A's share
Now, we perform the calculation:

A's share = (10 / 19) × ₹4370
= ₹2300

### Final Answer
A's share in the profit is **₹2300**.

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