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The ratio of the earnings of A and B is 4:7. If the earnings A increase by 50% and those of B decrease by 25%, the new ratio of their earnings becomes 8:7. What areA's earnings?
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The ratio of the earnings of A and B is 4:7. If the earnings A increas...
Given information:
- The ratio of the earnings of A and B is 4:7.
- The new ratio of their earnings after A's earnings increase by 50% and B's earnings decrease by 25% is 8:7.
Let's assume:
- Let the initial earnings of A be 4x and B be 7x.
After the increase and decrease:
- A's new earnings = 4x + 50% of 4x = 6x
- B's new earnings = 7x - 25% of 7x = 5.25x
Setting up the new ratio:
- The new ratio of A and B = 6x : 5.25x = 8 : 7
Solving the equation:
- Cross-multiplying, we get 6x * 7 = 8 * 5.25x
- 42x = 42x
- Since the equation holds true, our assumption is correct.
Calculating A's earnings:
- Since A's initial earnings were 4x, we substitute x = 1 to find A's actual earnings.
- A's actual earnings = 4 * 1 = 4 units
Therefore, A's earnings are 4 units.
- The ratio of the earnings of A and B is 4:7.
- The new ratio of their earnings after A's earnings increase by 50% and B's earnings decrease by 25% is 8:7.
Let's assume:
- Let the initial earnings of A be 4x and B be 7x.
After the increase and decrease:
- A's new earnings = 4x + 50% of 4x = 6x
- B's new earnings = 7x - 25% of 7x = 5.25x
Setting up the new ratio:
- The new ratio of A and B = 6x : 5.25x = 8 : 7
Solving the equation:
- Cross-multiplying, we get 6x * 7 = 8 * 5.25x
- 42x = 42x
- Since the equation holds true, our assumption is correct.
Calculating A's earnings:
- Since A's initial earnings were 4x, we substitute x = 1 to find A's actual earnings.
- A's actual earnings = 4 * 1 = 4 units
Therefore, A's earnings are 4 units.
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The ratio of the earnings of A and B is 4:7. If the earnings A increase by 50% and those of B decrease by 25%, the new ratio of their earnings becomes 8:7. What areA's earnings?
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The ratio of the earnings of A and B is 4:7. If the earnings A increase by 50% and those of B decrease by 25%, the new ratio of their earnings becomes 8:7. What areA's earnings? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about The ratio of the earnings of A and B is 4:7. If the earnings A increase by 50% and those of B decrease by 25%, the new ratio of their earnings becomes 8:7. What areA's earnings? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The ratio of the earnings of A and B is 4:7. If the earnings A increase by 50% and those of B decrease by 25%, the new ratio of their earnings becomes 8:7. What areA's earnings?.
The ratio of the earnings of A and B is 4:7. If the earnings A increase by 50% and those of B decrease by 25%, the new ratio of their earnings becomes 8:7. What areA's earnings? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about The ratio of the earnings of A and B is 4:7. If the earnings A increase by 50% and those of B decrease by 25%, the new ratio of their earnings becomes 8:7. What areA's earnings? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The ratio of the earnings of A and B is 4:7. If the earnings A increase by 50% and those of B decrease by 25%, the new ratio of their earnings becomes 8:7. What areA's earnings?.
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