To find Teena's share of the profit, we will follow these steps:
### Step 1: Determine the investment and time for each partner
- Teena's investment: Rs 24,000 for 8 months
- Reena's investment: Rs 28,000 for 10 months
- Sheena's investment: Rs 20,000 for 12 months (1 year)
### Step 2: Calculate the effective capital for each partner
The effective capital is calculated by multiplying the investment amount by the time (in months) for which the investment is made.
- Teena's effective capital = 24000 * 8 = Rs 192,000
- Reena's effective capital = 28000 * 10 = Rs 280,000
- Sheena's effective capital = 20000 * 12 = Rs 240,000
### Step 3: Find the total effective capital
Now, we sum up all the effective capitals:
Total effective capital = Teena's effective capital + Reena's effective capital + Sheena's effective capital
= 192,000 + 280,000 + 240,000
= Rs 712,000
### Step 4: Calculate the profit-sharing ratio
Now we find the ratio of their effective capitals:
- Teena's ratio = 192,000
- Reena's ratio = 280,000
- Sheena's ratio = 240,000
To simplify the ratio, we can divide each by 16,000 (the greatest common divisor):
- Teena's ratio = 192,000 / 16,000 = 12
- Reena's ratio = 280,000 / 16,000 = 17.5
- Sheena's ratio = 240,000 / 16,000 = 15
To convert Reena's ratio to a whole number, we can multiply all ratios by 2:
- Teena's ratio = 12 * 2 = 24
- Reena's ratio = 17.5 * 2 = 35
- Sheena's ratio = 15 * 2 = 30
Thus, the final ratio is:
Teena : Reena : Sheena = 24 : 35 : 30
### Step 5: Calculate the total parts in the ratio
Total parts = 24 + 35 + 30 = 89
### Step 6: Determine the share of Teena from the total profit
The total profit is Rs 25,810. To find Teena's share, we calculate:
Teena's share = (Teena's ratio / Total parts) * Total profit
= (24 / 89) * 25,810
### Step 7: Calculate Teena's share
Teena's share = (24 * 25,810) / 89
= 619,440 / 89
= Rs 6,960
### Final Answer
Teena's share of the profit is Rs 6,960.
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