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The following question is accompanied by two statements (I) and (II). You have to determine which statements(s) is/are sufficient/necessary to answer the questions.S, T, and U entered into a partnership for 1.5 years with an initial investment of S as Rs. 20000. Find the initial investment of U.Statement I: After every 6 months, S increased his investment by Rs. 5000 and U withdraws Rs. 5000 after half of the total time-period. T and U initially in the ratio 3 : 5.Statement II: The profit at the end of the time-period is divided among S, T and U is ratio 10 : 6 : 9.1. If data in statement I alone is suffering to answer the question but in statement II alone is not sufficient to answer the question.2. If data in statement II alone is suffering to answer the question but in statement I alone is not sufficient to answer the question.3. If data in either statement I alone or statement II alone is sufficient to answer the question.4. If data in both statement I and statement II together are not sufficient to answer the question.5. If data in both statement I and statement II together are sufficient to answer the question but none of them individually is sufficient to answer the question.

Answer» Correct Answer - Option 5 : If data in both statement I and statement II together are sufficient to answer the question but none of them individually is sufficient to answer the question.

Initial investment of S = 20000

Time = 18 months (i.e. 1.5 years)

From statement I:

Total investment of S = 20000 × 6 + 25000 × 6 + 30000 × 6 = 450000

Let the initial investment of T be ‘3y’ and U be ‘5y’.

Total investment of T = 3y × 18 = 54y

Total investment of U = 5y × 9 + (5y - 5000) × 9 = 90y – 45000

By this information alone we can’t get the answer so statement I alone is not sufficient.

From statement II:

Ratio of profit = 10 : 6 : 9

Statement II alone is not sufficient.

From statement I and II:

Ratio of the profit share = 450000 : 54y : (90y - 45000) = 25000 : 3y : (5y - 2500)

Comparing this with statement II

We get,

25000/3y = 10/6

⇒ y = 5000

So, initial investment of U = 5y = 5 × 5000 = Rs. 25000

Hence, I and II together are sufficient.



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