\[ \text { Check: }(1500+2400=3900) \] \[ \text { EXERCISE } 7.3 \] 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. A and B invested Rs. 5000 and Rs. 7000 respectively to start
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The Deep Dive
To check the equation \( 1500 + 2400 = 3900 \), we simply add the left side: \( 1500 + 2400 = 3900 \). This confirms that the equation is correct! Now, let's break down the profit-sharing. Faisal's investment is Rs. 1000 and Sirfraz's is Rs. 1200, giving us a total investment of Rs. 2200. Faisal's share of the investment is \( \frac{1000}{2200} = \frac{5}{11} \) and Sirfraz's share is \( \frac{1200}{2200} = \frac{6}{11} \). Now, with a profit of Rs. 1430, Faisal's share will be \( \frac{5}{11} \times 1430 = Rs. 650 \) and Sirfraz's share will be \( \frac{6}{11} \times 1430 = Rs. 780 \). So, Faisal takes home Rs. 650, while Sirfraz earns Rs. 780!