Question : A and B enter into a partnership such that 5 times A's investment is equal to 7 times B's investment. If the total profit is Rs. 12000, then what is the share of A?
Option 1: Rs. 6300
Option 2: Rs. 7000
Option 3: Rs. 8000
Option 4: Rs. 7500
Correct Answer: Rs. 7000
Solution :
Let A's investment be $a$ and B's be $b$.
According to the question,
$5a = 7b⇒\frac{a}{b}=\frac{7}{5}⇒a:b=7:5$
In a partnership, the distribution of profit is proportional to the investment.
So, A's share of the profit = $\frac{7}{7+5} \times 12000 = 7000$
Hence, the correct answer is Rs. 7000.
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