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Ratio of earnings of A and B is 4 : 7. If the earnings of A increase by 50% and those of B decrease by 25%, the new ratio of their earning becomes 8 : 7. What is A's earning?
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Ratio of earnings of A and B is 4 : 7. If the earnings of A increase b...
Problem: The ratio of earnings of A and B is 4:7. If the earnings of A increase by 50% and those of B decrease by 25%, the new ratio of their earning becomes 8:7. What is A's earning?
Solution:
Let's assume the earnings of A and B to be 4x and 7x respectively. Therefore,
Step 1: Find the new earnings of A and B after the given increase and decrease.
After the increase of 50%, A's new earnings become 6x. After the decrease of 25%, B's new earnings become 5.25x.
Step 2: Find the new ratio of A and B's earnings.
The new ratio of their earnings is given to be 8:7. Therefore,
6x/5.25x = 8/7
Solving the above equation, we get x = 7/4.
Therefore, A's earnings = 4x = 4*(7/4) = 7.
Step 3: Check the answer.
Now we can check whether our answer is correct or not. The new ratio of their earnings is 8:7, which means that A's new earnings are (8/15) * total earnings and B's new earnings are (7/15) * total earnings.
A's new earnings = (8/15) * (6x + 4x) = 7
B's new earnings = (7/15) * (5.25x + 7x) = 8
Therefore, our answer is correct.
Answer: A's earning is 7.
Solution:
Let's assume the earnings of A and B to be 4x and 7x respectively. Therefore,
Step 1: Find the new earnings of A and B after the given increase and decrease.
After the increase of 50%, A's new earnings become 6x. After the decrease of 25%, B's new earnings become 5.25x.
Step 2: Find the new ratio of A and B's earnings.
The new ratio of their earnings is given to be 8:7. Therefore,
6x/5.25x = 8/7
Solving the above equation, we get x = 7/4.
Therefore, A's earnings = 4x = 4*(7/4) = 7.
Step 3: Check the answer.
Now we can check whether our answer is correct or not. The new ratio of their earnings is 8:7, which means that A's new earnings are (8/15) * total earnings and B's new earnings are (7/15) * total earnings.
A's new earnings = (8/15) * (6x + 4x) = 7
B's new earnings = (7/15) * (5.25x + 7x) = 8
Therefore, our answer is correct.
Answer: A's earning is 7.
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Ratio of earnings of A and B is 4 : 7. If the earnings of A increase by 50% and those of B decrease by 25%, the new ratio of their earning becomes 8 : 7. What is A's earning?
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Ratio of earnings of A and B is 4 : 7. If the earnings of A increase by 50% and those of B decrease by 25%, the new ratio of their earning becomes 8 : 7. What is A's earning? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about Ratio of earnings of A and B is 4 : 7. If the earnings of A increase by 50% and those of B decrease by 25%, the new ratio of their earning becomes 8 : 7. What is A's earning? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Ratio of earnings of A and B is 4 : 7. If the earnings of A increase by 50% and those of B decrease by 25%, the new ratio of their earning becomes 8 : 7. What is A's earning?.
Ratio of earnings of A and B is 4 : 7. If the earnings of A increase by 50% and those of B decrease by 25%, the new ratio of their earning becomes 8 : 7. What is A's earning? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about Ratio of earnings of A and B is 4 : 7. If the earnings of A increase by 50% and those of B decrease by 25%, the new ratio of their earning becomes 8 : 7. What is A's earning? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Ratio of earnings of A and B is 4 : 7. If the earnings of A increase by 50% and those of B decrease by 25%, the new ratio of their earning becomes 8 : 7. What is A's earning?.
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