Question : A and B invested their money in a business in the ratio of 9: 5. If 10% of the total profit goes to charity and A’s share is INR 29,840, what is the total profit (in INR, to the nearest integer)?
Option 1: INR 51,745
Option 2: INR 55,715
Option 3: INR 57,545
Option 4: INR 51,575
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Correct Answer: INR 51,575
Solution :
Investment ratio of A and B = 9: 5
Share of A = INR 29840
According to the question,
Since 10% of the total profit goes to charity
So, $\frac{9}{9+5}$ of (90% of total profit) = 29840
⇒ 90% of total profit = $\frac{29840 × 14}{9}$
So, the total profit = $\frac{29840 × 14 × 100}{9 × 90}$ = 51575.3
Hence, the correct answer is INR 51,575.
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