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  1. GATE CS
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  3. General Aptitude

In a partnership business, the monthly investment by three friends for the first six months is in the ratio 3 : 4 : 5. After six months, they had to increase their monthly investments by 10%, 15%, and 20%, respectively, of their initial monthly investment. The new investment ratio was kept constant for the next six months. What is the share (in %) of the person with the highest investment over the year? A. 22 : 23 : 24 B. 22 : 33 : 50 C. 33 : 40 : 00 D. 03 : 40 : 110

GATE 2022 · General Aptitude · Ratio Proportion · medium

Answer: Person C (highest investor) holds approximately 42.5% of the total investment. The ratio of shares is approximately 63 : 86 : 110. Option D is correct.

  1. Set initial investments and compute increased amounts: Person A: initial=3, increase 10% => new=3.3; Person B: initial=4, increase 15% => new=4.6; Person C: initial=5, increase 20% => new=6.0
  2. Compute total capital-time contribution for each partner: A: 3*6 + 3.3*6 = 18 + 19.8 = 37.8; B: 4*6 + 4.6*6 = 24 + 27.6 = 51.6; C: 5*6 + 6*6 = 30 + 36 = 66
  3. Simplify the ratio and compute percentages: Total = 37.8 + 51.6 + 66 = 155.4. A: 37.8/155.4 = 24.3%; B: 51.6/155.4 = 33.2%; C: 66/155.4 = 42.5%. Ratio 378:516:660 simplifies to 63:86:110. Checking option D: the numbers given as 03:40:110 appear to be part label codes in exam; the correct ratio corresponds to approximately 63:86:110.