Question : A and B invested money in a business in the ratio of 7 : 5. If 15% of the total profit goes to charity and A's share in the profit is Rs. 5,950, then what is the total profit?
Option 1: Rs. 12,500
Option 2: Rs. 12,000
Option 3: Rs. 10,500
Option 4: Rs. 11,750
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Correct Answer: Rs. 12,000
Solution :
Charity = 15% of the total profit
Investment ratio = profit ratio = 7 : 5
Profit shared = 85 % of the total profit
A's share = $\frac{7}{7+5}$× profit shared
⇒ 5950 = $\frac{7}{12}$× profit shared
⇒ Profit shared = $\frac{5950×12}{7}$ = 10,200
Total profit = 10200×$\frac{100}{85}$ = 12,000
Hence, the correct answer is Rs.12,000.
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