Question : A and B invest in a business in the ratio 3 : 2. If 5% of the total profit goes to charity and A's share in profit is Rs. 8,550, then the total profit is:
Option 1: Rs. 15,760
Option 2: Rs. 15,735
Option 3: Rs.14,250
Option 4: Rs. 15,000
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Correct Answer: Rs. 15,000
Solution :
Let the total profit be $P$. Given that A and B invest in the ratio 3 : 2, A's share of the profit would be $\frac{3}{5}$th of the total profit after deducting the charity amount.
$\frac{3}{5} \times (P - 0.05P) = 8550$
$⇒\frac{3}{5} \times 0.95P = 8550$
$⇒P = \frac{8550 \times 5}{3 \times 0.95}=15000$
Hence, the correct answer is Rs.15,000.
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