CMA Foundation · Fundamentals of Business Mathematics and Statistics · Ratios, Variations and Proportions
Three partners A, B and C invest in the ratio 3 : 4 : 5. A invests for 8 months, B for 6 months and C for 4 months. If the total profit is ₹46,000, what is B's share?
The profit ratio is capital multiplied by time: 24:24:20, or 6:6:5. B's share is 6/17 of ₹46,000, about ₹16,235, which does not exactly equal any option.
- A₹12,000
- B₹16,000Correct
- C₹18,000
- D₹20,000
Explanation
Profit ratio = capital × time = 3×8 : 4×6 : 5×4 = 24 : 24 : 20 = 6 : 6 : 5, total 17 parts. 46,000/17 is not an integer, so B's share = 46,000×6/17 ≈ ₹16,235. The nearest option is ₹16,000 but it does not match exactly, so the data are flawed.
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