A and B together start a business by investing in the ratio of 4 : 3. If 9% of the total profit goes to charity and A's share is Rs. 1196, find the total profit.
Correct Answer: Description for Correct answer:
Let total profit = x
Paid to charity = 9% of x = \( \large\frac{9x}{100} \)
Balance profit = x - \( \large\frac{9x}{100} = \frac{91x}{100} \)
A's share = \( \large\frac{4}{(4 + 3)}\times \frac{91x}{100} = \frac{4}{7} \times \frac{91x}{100} \)
According to the question,
\( \large\frac{4}{7} \times \frac{91x}{100} = 1196 \)
\( \large x = \frac{1196 \times 7 \times 100}{4 \times 91} = Rs.2300 \)
Hence total profit = Rs.2300
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