Question : A, B, and C started a business with their capitals in the ratio 1 : 4 : 4. At the end of every 3 months, A doubles his capital, B halves his capital and C leaves his capital unchanged. At the end of the year, if B's share in the profit was INR 4,50,000, then the total profit (in INR lakhs) was ______.
Option 1: 32.4
Option 2: 24.2
Option 3: 34.8
Option 4: 23.1
Correct Answer: 23.1
Solution : The ratio of the capital of A, B, and C = 1 : 4 : 4 At the end of every 3 months, A doubles his capital, B halves his capital and C leaves his capital unchanged So, At the end of the year, the ratio becomes (1 + 2 + 4 + 8) × 3 : (4 + 2 + 1 + 0.5) × 3 : (4 + 4 + 4 + 4) × 3 = 15 : 7.5 : 16 According to the question, 7.5 unit = 450000 ⇒ 1 unit = $\frac{450000}{7.5}$ = 60000 Total Profit = (15 + 7.5 + 16) = 38.5 unit = 60000 × 38.5 = 2310000 = 23.1 lakhs Hence, the correct answer is 23.1.
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