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Rupees 3000 Is divided between A,B and c.so that A recieve 1/3 as much as B and C together receive and b receive 2/3 as much as A&C TOGETHER RECEIVE.then share of C is?
Options are:-
1)600
2)525
3)1625
4)1050?
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Most Upvoted Answer
Rupees 3000 Is divided between A,B and c.so that A recieve 1/3 as much...
Problem Statement
Rupees 3000 is divided among A, B, and C according to specific ratios. We need to determine C's share based on the given conditions.
Step 1: Establish Relationships
- Let the amounts received by A, B, and C be represented as A, B, and C respectively.
- According to the problem:
- A = (1/3)(B + C)
- B = (2/3)(A + C)
Step 2: Rewrite Equations
- From A = (1/3)(B + C), we can express B + C in terms of A:
- B + C = 3A
- From B = (2/3)(A + C), we can express A + C in terms of B:
- A + C = (3/2)B
Step 3: Create a System of Equations
Combining the two relationships:
- B + C = 3A
- A + C = (3/2)B
Now, substitute B + C from the first equation into the second:
- A + (3A - B) = (3/2)B
Step 4: Solve for A and B
- Rearranging gives us:
- 4A = (5/2)B
- B = (8/5)A
Step 5: Substitute Values
Using B = (8/5)A in B + C = 3A:
- (8/5)A + C = 3A
- C = 3A - (8/5)A = (15/5)A - (8/5)A = (7/5)A
Step 6: Total Amount and Shares
The total amount is:
- A + B + C = 3000
- A + (8/5)A + (7/5)A = 3000
- (20/5)A = 3000
- A = 750
Now find B and C:
- B = (8/5)A = 1200
- C = (7/5)A = 1050
Final Answer
Thus, the share of C is 1050.
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Rupees 3000 Is divided between A,B and c.so that A recieve 1/3 as much as B and C together receive and b receive 2/3 as much as A&C TOGETHER RECEIVE.then share of C is?Options are:-1)6002)5253)16254)1050?
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Rupees 3000 Is divided between A,B and c.so that A recieve 1/3 as much as B and C together receive and b receive 2/3 as much as A&C TOGETHER RECEIVE.then share of C is?Options are:-1)6002)5253)16254)1050? for SSC CGL 2024 is part of SSC CGL preparation. The Question and answers have been prepared according to the SSC CGL exam syllabus. Information about Rupees 3000 Is divided between A,B and c.so that A recieve 1/3 as much as B and C together receive and b receive 2/3 as much as A&C TOGETHER RECEIVE.then share of C is?Options are:-1)6002)5253)16254)1050? covers all topics & solutions for SSC CGL 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Rupees 3000 Is divided between A,B and c.so that A recieve 1/3 as much as B and C together receive and b receive 2/3 as much as A&C TOGETHER RECEIVE.then share of C is?Options are:-1)6002)5253)16254)1050?.
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