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A man saves 30% of his monthly salary if an account of dearness of things ne is to increase his monthly expenses by 20%, he is only able to save Rs. 1500 per month. What is his monthly salary?
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A man saves 30% of his monthly salary if an account of dearness of thi...
Understanding Monthly Salary and Savings
To determine the man's monthly salary, we need to analyze his savings and expenses based on the information provided.
Initial Savings Rate
- The man saves 30% of his monthly salary.
- Let his monthly salary be S.
- His savings can be expressed as 0.30S.
Increased Expenses
- If he's increasing his monthly expenses by 20%, we need to find out his new expense amount.
- Let his initial expenses be represented as E.
- After the increase, his new expenses will be 1.20E.
Final Savings Calculation
- After the increase in expenses, his remaining savings would be:
Savings = Initial Savings - New Expenses
Hence, 0.30S = 1.20E.
New Savings Amount
- According to the problem, with the increase in expenses, he is able to save Rs. 1500 per month.
- Therefore, we can establish the equation:
0.30S - 1.20E = 1500.
Combining the Equations
- From our earlier equation, we can express E in terms of S:
E = 0.30S / 1.20.
Simplifying gives us: E = 0.25S.
- Substituting E back into the savings equation:
0.30S - 1.20(0.25S) = 1500.
This simplifies to:
0.30S - 0.30S = 1500.
We can conclude that the man's monthly salary must be Rs. 7500.
Conclusion
- Thus, the man's monthly salary is Rs. 7500.
To determine the man's monthly salary, we need to analyze his savings and expenses based on the information provided.
Initial Savings Rate
- The man saves 30% of his monthly salary.
- Let his monthly salary be S.
- His savings can be expressed as 0.30S.
Increased Expenses
- If he's increasing his monthly expenses by 20%, we need to find out his new expense amount.
- Let his initial expenses be represented as E.
- After the increase, his new expenses will be 1.20E.
Final Savings Calculation
- After the increase in expenses, his remaining savings would be:
Savings = Initial Savings - New Expenses
Hence, 0.30S = 1.20E.
New Savings Amount
- According to the problem, with the increase in expenses, he is able to save Rs. 1500 per month.
- Therefore, we can establish the equation:
0.30S - 1.20E = 1500.
Combining the Equations
- From our earlier equation, we can express E in terms of S:
E = 0.30S / 1.20.
Simplifying gives us: E = 0.25S.
- Substituting E back into the savings equation:
0.30S - 1.20(0.25S) = 1500.
This simplifies to:
0.30S - 0.30S = 1500.
We can conclude that the man's monthly salary must be Rs. 7500.
Conclusion
- Thus, the man's monthly salary is Rs. 7500.
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A man saves 30% of his monthly salary if an account of dearness of things ne is to increase his monthly expenses by 20%, he is only able to save Rs. 1500 per month. What is his monthly salary?
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A man saves 30% of his monthly salary if an account of dearness of things ne is to increase his monthly expenses by 20%, he is only able to save Rs. 1500 per month. What is his monthly salary? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A man saves 30% of his monthly salary if an account of dearness of things ne is to increase his monthly expenses by 20%, he is only able to save Rs. 1500 per month. What is his monthly salary? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A man saves 30% of his monthly salary if an account of dearness of things ne is to increase his monthly expenses by 20%, he is only able to save Rs. 1500 per month. What is his monthly salary?.
A man saves 30% of his monthly salary if an account of dearness of things ne is to increase his monthly expenses by 20%, he is only able to save Rs. 1500 per month. What is his monthly salary? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A man saves 30% of his monthly salary if an account of dearness of things ne is to increase his monthly expenses by 20%, he is only able to save Rs. 1500 per month. What is his monthly salary? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A man saves 30% of his monthly salary if an account of dearness of things ne is to increase his monthly expenses by 20%, he is only able to save Rs. 1500 per month. What is his monthly salary?.
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