Question

Raj, Anu, and Vinu started a business together. In what proportion would the annual profit be distributed among them? 
Statement I - Raj got one-fourth of the profit. 
Statement II -  Raj and Vinu contributed 75% of the total investment.

• A. If the question can be answered with the help of statement I alone.
• B. If the question can be answered with the help of statement II alone.
• C. If both, statement I and statement II are needed to answer the question.
• D. If the question cannot be answered even with the help of both the statements.

Hint:

When dealing with profit-sharing problems, combine information about both contributions and profit shares to determine the distribution.

Answer 1

The Correct Option is C

From Statement I:
Raj got one-fourth of the profit. This tells us Raj's share of the profit but does not provide information about Anu and Vinu's shares. 
From Statement II:
Raj and Vinu together contributed 75% of the total investment. This gives us information about their combined contribution to the business, but does not specify Anu's contribution or the exact distribution of profit. Combining both statements: Raj's share is one-fourth of the profit. Since Raj and Vinu contributed 75% of the total investment, we can deduce the relative contributions and, consequently, the distribution of the profit.
Using the formula for profit sharing based on investment, we can calculate the exact shares of Anu, Raj, and Vinu. Thus, both statements are needed to answer the question.