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The ratio of the bank balances of three brothers A, B and C is 10 : 12 : 5, respectively. B transfers Rs. 60,000 from his account to C's. The new ratio of the bank balances becomes 10 : 9 : 8. What is the bank balance of A (in Rs.)?
  • a)
    1,00,000
  • b)
    2,00,000
  • c)
    3,00,000
  • d)
    4,00,000
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
The ratio of the bank balances of three brothers A, B and C is 10 : 1...
Suppose A, B and C have Rs. 10x, Rs. 12x and Rs. 5x, respectively.
When B made the transfer, B is left with 12x - 60,000; and C is left with 5x + 60,000.
So,
A : B : C = 10x : 12x - 60000 : 5x + 60,000 = 10 : 9 : 8
90x = 120x - 6,00,000
30x = 6,00,000
x = 20,000
So, bank balance of A = 10x = 10 × 20,000 = Rs. 2,00,000
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Community Answer
The ratio of the bank balances of three brothers A, B and C is 10 : 1...

Understanding the Problem

The initial ratio of bank balances for brothers A, B, and C is 10:12:5. After B transfers Rs. 60,000 to C, the new ratio becomes 10:9:8. We need to find the bank balance of brother A.

Solving the Problem

Let the initial bank balances of A, B, and C be 10x, 12x, and 5x respectively.

After B transfers Rs. 60,000 to C, the new balances become 10x, 9(12x + 60,000), and 8(5x + 60,000) for A, B, and C respectively.

According to the question, the new ratio is 10:9:8.

Therefore, we get the equation:

10x : 9(12x + 60,000) : 8(5x + 60,000) = 10 : 9 : 8

Solving this equation, we find x = 20,000.

Finding the Bank Balance of A

Now, the bank balance of A = 10x = 10 * 20,000 = Rs. 2,00,000.

Therefore, the bank balance of brother A is Rs. 2,00,000.

So, option B is the correct answer.
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The ratio of the bank balances of three brothers A, B and C is 10 : 12 : 5, respectively. B transfers Rs. 60,000 from his account to C's. The new ratio of the bank balances becomes 10 : 9 : 8. What is the bank balance of A (in Rs.)?a)1,00,000b)2,00,000c)3,00,000d)4,00,000Correct answer is option 'B'. Can you explain this answer?
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The ratio of the bank balances of three brothers A, B and C is 10 : 12 : 5, respectively. B transfers Rs. 60,000 from his account to C's. The new ratio of the bank balances becomes 10 : 9 : 8. What is the bank balance of A (in Rs.)?a)1,00,000b)2,00,000c)3,00,000d)4,00,000Correct answer is option 'B'. Can you explain this answer? 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 The ratio of the bank balances of three brothers A, B and C is 10 : 12 : 5, respectively. B transfers Rs. 60,000 from his account to C's. The new ratio of the bank balances becomes 10 : 9 : 8. What is the bank balance of A (in Rs.)?a)1,00,000b)2,00,000c)3,00,000d)4,00,000Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for SSC CGL 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The ratio of the bank balances of three brothers A, B and C is 10 : 12 : 5, respectively. B transfers Rs. 60,000 from his account to C's. The new ratio of the bank balances becomes 10 : 9 : 8. What is the bank balance of A (in Rs.)?a)1,00,000b)2,00,000c)3,00,000d)4,00,000Correct answer is option 'B'. Can you explain this answer?.
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