Question
EXERCISE 7.3 Faisal and Sirfraz started a business of partnership. Faisal invested Rs. 1000 and Sifraz invested Rs. 1200 . At the end of a vear total profit was Rs. 1430 . Find the shares of Faisal
Ask by Carrillo Whittaker. in Pakistan
Jan 21,2025
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Answer
Faisal's share of the profit is Rs. 650.
Solution
To determine Faisal's share of the profit, we'll follow these steps:
1. **Determine the Investment Ratio:**
- **Faisal's Investment:** Rs. 1000
- **Sifraz's Investment:** Rs. 1200
The ratio of their investments is:
\[
\text{Faisal} : \text{Sifraz} = 1000 : 1200 = 5 : 6
\]
2. **Calculate Total Parts:**
\[
5 (\text{Faisal}) + 6 (\text{Sifraz}) = 11 \text{ parts}
\]
3. **Determine Faisal's Share:**
- **Total Profit:** Rs. 1430
- **Faisal's Share:** \(\frac{5}{11} \times 1430\)
\[
\frac{5}{11} \times 1430 = \frac{5 \times 130}{1} = 650
\]
*(Note: \(1430 \div 11 = 130\))*
**Therefore, Faisal's share of the profit is Rs. 650.**
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Faisal's investment was Rs. 1000, while Sirfraz invested Rs. 1200. The total capital contributed by both partners is Rs. 2200 (1000 + 1200). To determine Faisal’s share of the profit, first find the ratio of their investments: Faisal's share = 1000/2200 = 5/11. With a total profit of Rs. 1430, Faisal's share of the profit can be calculated by multiplying Rs. 1430 by the fraction of his investment: (5/11) * 1430 = Rs. 650. So, Faisal's share of the profit is Rs. 650. Sirfraz’s share of the profit can similarly be calculated as (6/11) * 1430 = Rs. 780.