Q(1 – 10) Each of the questions below consists of a question and...
Amount got by A, B and C = x, y and 50600 – (x + y)
From statement I, x = 2/9(y + 50600 -x -y)
x = 2/9(50600 – x)
From statement II, y = 3/11(x + 50600 – x -y)
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Q(1 – 10) Each of the questions below consists of a question and...
Understanding the Problem
The problem involves distributing a total amount of Rs. 50600 among three individuals: A, B, and C. We need to determine how much each person receives based on the provided statements.
Statement Analysis
- Statement I: A gets 2/9 of what the other two together get.
- Let’s denote the amounts received by A, B, and C as A, B, and C respectively. This statement implies:
A = (2/9)(B + C)
- Rearranging gives us an equation that relates A to B and C, allowing us to express A in terms of B and C.
- Statement II: C gets 3/11 of what the other two together get.
- Similar to Statement I, this implies:
C = (3/11)(A + B)
- This also provides a relationship among the three individuals’ amounts.
Combining Statements
When both statements I and II are considered together, we can establish a system of equations.
1. From Statement I, express A in terms of B and C.
2. From Statement II, express C in terms of A and B.
By substituting one equation into the other, we can derive specific values for A, B, and C.
Conclusion
Both statements I and II individually provide enough information to derive relationships among A, B, and C. However, when combined, they allow for a complete solution that specifies the amounts each person receives.
Thus, the correct answer is option 'C': Both Statement I and II are sufficient to answer the question.