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Two numbers A and B are such that the sum of 5% of A and 4% of B is two-third of the sum of 6% of A and 8% of B. Find the ratio of A : B.
  • a)
    2 : 3
  • b)
    1 : 1
  • c)
    3 : 4
  • d)
    4 : 3
Correct answer is option 'D'. Can you explain this answer?
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Two numbers A and B are such that the sum of 5% of A and 4% of B is tw...

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Most Upvoted Answer
Two numbers A and B are such that the sum of 5% of A and 4% of B is tw...
5%of A+4%of B=2/3[6%of A +8% of B]
(5/100)A+(4/100)B=2/3[(6/100)A+(8/100)B]
5A+4B=2/3[6A+8B]
3(5A+4B)=2(6A+8B)
15A+12B=12A+16B
3A=4B
A/B=4:3
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Community Answer
Two numbers A and B are such that the sum of 5% of A and 4% of B is tw...
Given:
- 5% of A + 4% of B = (2/3)(6% of A + 8% of B)

To find:
- A : B

Solution:
Let's start by simplifying the given equation:

0.05A + 0.04B = (2/3)(0.06A + 0.08B)
0.05A + 0.04B = 0.04A + 0.0533B
0.01A = 0.0133B
A/B = 0.0133/0.01
A/B = 4/3

Therefore, the ratio of A to B is 4:3. Option D is the correct answer.

Explanation:
- Bold Heading: Given
- Bold Heading: To Find
- Bold Heading: Solution
- Explanation in bullet points:
- Simplify the given equation by combining like terms
- Solve for the ratio of A to B by isolating one variable on one side of the equation and the other variable on the other side
- Simplify the ratio to the lowest terms
- Bold Heading: Conclusion
- Conclusion in bullet points:
- The ratio of A to B is 4:3
- Option D is the correct answer
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Two numbers A and B are such that the sum of 5% of A and 4% of B is two-third of the sum of 6% of A and 8% of B. Find the ratio of A : B.a)2 : 3b)1 : 1c)3 : 4d)4 : 3Correct answer is option 'D'. Can you explain this answer?
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