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23. Monthly income of B is Rs. 3,000 more than the monthly income of A. Monthly savings of A and B are Rs. 8,000 and Rs. 17,000 respectively. Find the monthly income of A if the monthly expenditures of A and B are in the ratio 4:3, respectively.
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23. Monthly income of B is Rs. 3,000 more than the monthly income of A...
Understanding the Problem
To find the monthly income of A, let's define the variables and relationships given in the problem.
Variables Defined
- Let the monthly income of A be I_A.
- Therefore, the monthly income of B will be I_B = I_A + 3000.
Monthly Savings and Expenditures
- Monthly savings of A = Rs. 8,000.
- Monthly savings of B = Rs. 17,000.
Since savings can be calculated as the difference between income and expenditure, we can write:
- Monthly expenditure of A = I_A - 8000
- Monthly expenditure of B = I_B - 17000
Ratio of Expenditures
According to the problem, the ratio of the monthly expenditures of A and B is 4:3. We can express this as:
- (I_A - 8000) / (I_B - 17000) = 4 / 3
Now, substituting I_B = I_A + 3000 into the equation:
- (I_A - 8000) / ((I_A + 3000) - 17000) = 4 / 3
- (I_A - 8000) / (I_A - 14000) = 4 / 3
Cross-Multiplying and Solving
Cross-multiplying gives:
- 3(I_A - 8000) = 4(I_A - 14000)
Expanding this:
- 3I_A - 24000 = 4I_A - 56000
Rearranging to isolate I_A:
- 56000 - 24000 = 4I_A - 3I_A
- 32000 = I_A
Conclusion
The monthly income of A is Rs. 32,000.
To find the monthly income of A, let's define the variables and relationships given in the problem.
Variables Defined
- Let the monthly income of A be I_A.
- Therefore, the monthly income of B will be I_B = I_A + 3000.
Monthly Savings and Expenditures
- Monthly savings of A = Rs. 8,000.
- Monthly savings of B = Rs. 17,000.
Since savings can be calculated as the difference between income and expenditure, we can write:
- Monthly expenditure of A = I_A - 8000
- Monthly expenditure of B = I_B - 17000
Ratio of Expenditures
According to the problem, the ratio of the monthly expenditures of A and B is 4:3. We can express this as:
- (I_A - 8000) / (I_B - 17000) = 4 / 3
Now, substituting I_B = I_A + 3000 into the equation:
- (I_A - 8000) / ((I_A + 3000) - 17000) = 4 / 3
- (I_A - 8000) / (I_A - 14000) = 4 / 3
Cross-Multiplying and Solving
Cross-multiplying gives:
- 3(I_A - 8000) = 4(I_A - 14000)
Expanding this:
- 3I_A - 24000 = 4I_A - 56000
Rearranging to isolate I_A:
- 56000 - 24000 = 4I_A - 3I_A
- 32000 = I_A
Conclusion
The monthly income of A is Rs. 32,000.
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23. Monthly income of B is Rs. 3,000 more than the monthly income of A. Monthly savings of A and B are Rs. 8,000 and Rs. 17,000 respectively. Find the monthly income of A if the monthly expenditures of A and B are in the ratio 4:3, respectively.ReviewNext?
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23. Monthly income of B is Rs. 3,000 more than the monthly income of A. Monthly savings of A and B are Rs. 8,000 and Rs. 17,000 respectively. Find the monthly income of A if the monthly expenditures of A and B are in the ratio 4:3, respectively.ReviewNext? for Commerce 2025 is part of Commerce preparation. The Question and answers have been prepared according to the Commerce exam syllabus. Information about 23. Monthly income of B is Rs. 3,000 more than the monthly income of A. Monthly savings of A and B are Rs. 8,000 and Rs. 17,000 respectively. Find the monthly income of A if the monthly expenditures of A and B are in the ratio 4:3, respectively.ReviewNext? covers all topics & solutions for Commerce 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 23. Monthly income of B is Rs. 3,000 more than the monthly income of A. Monthly savings of A and B are Rs. 8,000 and Rs. 17,000 respectively. Find the monthly income of A if the monthly expenditures of A and B are in the ratio 4:3, respectively.ReviewNext?.
23. Monthly income of B is Rs. 3,000 more than the monthly income of A. Monthly savings of A and B are Rs. 8,000 and Rs. 17,000 respectively. Find the monthly income of A if the monthly expenditures of A and B are in the ratio 4:3, respectively.ReviewNext? for Commerce 2025 is part of Commerce preparation. The Question and answers have been prepared according to the Commerce exam syllabus. Information about 23. Monthly income of B is Rs. 3,000 more than the monthly income of A. Monthly savings of A and B are Rs. 8,000 and Rs. 17,000 respectively. Find the monthly income of A if the monthly expenditures of A and B are in the ratio 4:3, respectively.ReviewNext? covers all topics & solutions for Commerce 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 23. Monthly income of B is Rs. 3,000 more than the monthly income of A. Monthly savings of A and B are Rs. 8,000 and Rs. 17,000 respectively. Find the monthly income of A if the monthly expenditures of A and B are in the ratio 4:3, respectively.ReviewNext?.
Solutions for 23. Monthly income of B is Rs. 3,000 more than the monthly income of A. Monthly savings of A and B are Rs. 8,000 and Rs. 17,000 respectively. Find the monthly income of A if the monthly expenditures of A and B are in the ratio 4:3, respectively.ReviewNext? in English & in Hindi are available as part of our courses for Commerce.
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