Bhanu and Shafeeq started a business by investing Rs. 36,000 and Rs. 63,000. Find the share of each, out of an annual, profit of Rs 5,500.

Answer

To find the share of Bhanu and Shafeeq from the annual profit of Rs. 5,500 based on their investments, we can follow these steps:

### Step 1: Determine the investments
- Bhanu's investment = Rs. 36,000
- Shafeeq's investment = Rs. 63,000

### Step 2: Calculate the ratio of their investments
To find the ratio of Bhanu's and Shafeeq's investments, we write it as:
\[ \text{Ratio} = \frac{\text{Bhanu's investment}}{\text{Shafeeq's investment}} = \frac{36000}{63000} \]

### Step 3: Simplify the ratio
To simplify the ratio, we can divide both numbers by their greatest common divisor (GCD). The GCD of 36,000 and 63,000 is 9,000.
\[ \frac{36000 \div 9000}{63000 \div 9000} = \frac{4}{7} \]
So, the ratio of Bhanu's investment to Shafeeq's investment is 4:7.

### Step 4: Calculate the total parts in the ratio
The total parts in the ratio \(4:7\) is:
\[ 4 + 7 = 11 \]

### Step 5: Calculate each person's share of the profit
Now, we will find out how much each person gets from the total profit of Rs. 5,500.

**Bhanu's share:**
\[ \text{Bhanu's share} = \frac{4}{11} \times 5500 = \frac{22000}{11} = 2000 \]

**Shafeeq's share:**
\[ \text{Shafeeq's share} = \frac{7}{11} \times 5500 = \frac{38500}{11} = 3500 \]

### Conclusion
- Bhanu's share of the profit is Rs. 2,000.
- Shafeeq's share of the profit is Rs. 3,500.

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