EXERCISE 7.3. 1. Faisal and Sirfraz started a business of partnership. Faisal invested Rs. 1000 and Sirfraz invested Rs. 1200 . At the end of a year total profit was Rs. 1430 . Find the shares of Faisal and Sirfraz in profit.

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To determine the shares of Faisal and Sirfraz in the total profit of Rs. 1,430, we'll follow these steps:

1. **Determine the Investment Ratio:**

- **Faisal's Investment:** Rs. 1,000
   - **Sirfraz's Investment:** Rs. 1,200

The ratio of their investments is:
   $$
   \text{Faisal} : \text{Sirfraz} = 1000 : 1200
   $$
   Simplifying the ratio by dividing both numbers by 200:
   $$
   = 5 : 6
   $$

2. **Calculate Total Parts in the Ratio:**
   $$
   5 (\text{Faisal}) + 6 (\text{Sirfraz}) = 11 \text{ parts}
   $$

3. **Determine the Value of Each Part:**
   $$
   \text{Value of one part} = \frac{\text{Total Profit}}{\text{Total Parts}} = \frac{1430}{11} = 130
   $$

4. **Calculate Individual Shares:**
   - **Faisal's Share:**
     $$
     5 \text{ parts} \times 130 = 650 \text{ Rs.}
     $$
   - **Sirfraz's Share:**
     $$
     6 \text{ parts} \times 130 = 780 \text{ Rs.}
     $$

5. **Verify the Calculation:**
   $$
   650 (\text{Faisal}) + 780 (\text{Sirfraz}) = 1430 \text{ Rs.}
   $$
   The sum matches the total profit, confirming our calculations are correct.

**Final Shares:**
- **Faisal:** Rs. 650
- **Sirfraz:** Rs. 780
Faisal gets Rs. 650 and Sirfraz gets Rs. 780 from the profit.

EXERCISE 7.3. 1. Faisal and Sirfraz started a business of partnership. Faisal invested Rs. 1000 and Sirfraz invested Rs. 1200 . At the end of a year total profit was Rs. 1430 . Find the shares of Faisal and Sirfraz in profit.

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