GATE CE 2022 Set 2 — Question 7
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General Aptitude → Quantitative Aptitude → Partnership
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Question
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 ratio of their shares in the total profit (in the same order) at the end of the year such that the share is proportional to their individual total investment over the year?
Correct answer
(D) 63: 86: 110
Solution
Let the initial monthly investments of the three friends be and respectively.For the first 6 months:
Total investment by Friend 1 =
Total investment by Friend 2 =
Total investment by Friend 3 = After 6 months, the monthly investments are increased:
New monthly investment of Friend 1 =
New monthly investment of Friend 2 =
New monthly investment of Friend 3 = For the next 6 months:
Total investment by Friend 1 =
Total investment by Friend 2 =
Total investment by Friend 3 = Total investment over the year:
Friend 1:
Friend 2:
Friend 3: Ratio of their shares (proportional to total investment):
Ratio =
Ratio =
Dividing by 6:
Ratio = Therefore, the correct option is (D).
Total investment by Friend 1 =
Total investment by Friend 2 =
Total investment by Friend 3 = After 6 months, the monthly investments are increased:
New monthly investment of Friend 1 =
New monthly investment of Friend 2 =
New monthly investment of Friend 3 = For the next 6 months:
Total investment by Friend 1 =
Total investment by Friend 2 =
Total investment by Friend 3 = Total investment over the year:
Friend 1:
Friend 2:
Friend 3: Ratio of their shares (proportional to total investment):
Ratio =
Ratio =
Dividing by 6:
Ratio = Therefore, the correct option is (D).
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