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Annual incomes of A and B are in the ratio of 5 : 3 and their annual expenses bear a ratio 3 : 1. If each of them saves Rs. 600 at the end of the year, the annual income of A is:
- a)Rs. 1200
- b)Rs. 1400
- c)Rs. 1500
- d)Rs. 1600
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
Annual incomes of A and B are in the ratio of 5 : 3 and their annual e...
Given, Annual incomes of A and B are in the ratio of 5 : 3 and their annual expenses bear a ratio 3 : 1.
Let the annual incomes of A and B be 5a and 3a respectively.
Now, each of them saves Rs. 600 at the end of the year.
Thus, 
⇒ 5a – 600 = 9a – 1800
⇒ 4a = 1200
⇒ a = Rs. 300
Thus, annual income of A = 5a = Rs. 1500
Most Upvoted Answer
Annual incomes of A and B are in the ratio of 5 : 3 and their annual e...
To solve this problem, we can use the concept of proportions. Let's break down the information given:
1. The ratio of A's and B's annual incomes is 5:3.
2. The ratio of A's and B's annual expenses is 3:1.
3. Both A and B save Rs. 600 at the end of the year.
Let's assume that A's annual income is 5x and B's annual income is 3x. Similarly, A's annual expenses can be assumed as 3y and B's annual expenses as y.
1. Calculate the savings of A and B:
- A saves Rs. 600, so A's annual income minus annual expenses should equal Rs. 600: 5x - 3y = 600
- B also saves Rs. 600, so B's annual income minus annual expenses should equal Rs. 600: 3x - y = 600
2. Solve the above two equations simultaneously:
From the first equation, we can express 3y as 5x - 600 and substitute it into the second equation:
3x - (5x - 600) = 600
3x - 5x + 600 = 600
-2x = 0
x = 0
3. Calculate A's annual income:
Since x = 0, A's annual income is 5x = 5 * 0 = 0
Therefore, the correct answer is Rs. 0. However, none of the given options match this answer. It seems there may be an error in the question or options provided.
1. The ratio of A's and B's annual incomes is 5:3.
2. The ratio of A's and B's annual expenses is 3:1.
3. Both A and B save Rs. 600 at the end of the year.
Let's assume that A's annual income is 5x and B's annual income is 3x. Similarly, A's annual expenses can be assumed as 3y and B's annual expenses as y.
1. Calculate the savings of A and B:
- A saves Rs. 600, so A's annual income minus annual expenses should equal Rs. 600: 5x - 3y = 600
- B also saves Rs. 600, so B's annual income minus annual expenses should equal Rs. 600: 3x - y = 600
2. Solve the above two equations simultaneously:
From the first equation, we can express 3y as 5x - 600 and substitute it into the second equation:
3x - (5x - 600) = 600
3x - 5x + 600 = 600
-2x = 0
x = 0
3. Calculate A's annual income:
Since x = 0, A's annual income is 5x = 5 * 0 = 0
Therefore, the correct answer is Rs. 0. However, none of the given options match this answer. It seems there may be an error in the question or options provided.
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Annual incomes of A and B are in the ratio of 5 : 3 and their annual expenses bear a ratio 3 : 1. If each of them saves Rs. 600 at the end of the year, the annual income of A is:a)Rs. 1200b)Rs. 1400c)Rs. 1500d)Rs. 1600Correct answer is option 'C'. Can you explain this answer?
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Annual incomes of A and B are in the ratio of 5 : 3 and their annual expenses bear a ratio 3 : 1. If each of them saves Rs. 600 at the end of the year, the annual income of A is:a)Rs. 1200b)Rs. 1400c)Rs. 1500d)Rs. 1600Correct answer is option 'C'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about Annual incomes of A and B are in the ratio of 5 : 3 and their annual expenses bear a ratio 3 : 1. If each of them saves Rs. 600 at the end of the year, the annual income of A is:a)Rs. 1200b)Rs. 1400c)Rs. 1500d)Rs. 1600Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Annual incomes of A and B are in the ratio of 5 : 3 and their annual expenses bear a ratio 3 : 1. If each of them saves Rs. 600 at the end of the year, the annual income of A is:a)Rs. 1200b)Rs. 1400c)Rs. 1500d)Rs. 1600Correct answer is option 'C'. Can you explain this answer?.
Annual incomes of A and B are in the ratio of 5 : 3 and their annual expenses bear a ratio 3 : 1. If each of them saves Rs. 600 at the end of the year, the annual income of A is:a)Rs. 1200b)Rs. 1400c)Rs. 1500d)Rs. 1600Correct answer is option 'C'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about Annual incomes of A and B are in the ratio of 5 : 3 and their annual expenses bear a ratio 3 : 1. If each of them saves Rs. 600 at the end of the year, the annual income of A is:a)Rs. 1200b)Rs. 1400c)Rs. 1500d)Rs. 1600Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Annual incomes of A and B are in the ratio of 5 : 3 and their annual expenses bear a ratio 3 : 1. If each of them saves Rs. 600 at the end of the year, the annual income of A is:a)Rs. 1200b)Rs. 1400c)Rs. 1500d)Rs. 1600Correct answer is option 'C'. Can you explain this answer?.
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