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Daily earnings of two persons are in the ratio 4:5 and their daily expenses are in the ratio
7 : 9. If each saves ` 50 per day, their daily earn in?
7 : 9. If each saves ` 50 per day, their daily earn in?
Most Upvoted Answer
Daily earnings of two persons are in the ratio 4:5 and their daily exp...
Understanding the Problem
To find the daily earnings of two persons given their savings, we start by defining their earnings and expenses.
Step 1: Define Earnings and Expenses
- Let the daily earnings of Person A be 4x and Person B be 5x.
- Let the daily expenses of Person A be 7y and Person B be 9y.
Step 2: Define Savings
- Given that both save ₹50 per day:
For Person A:
- Savings = Earnings - Expenses
- 50 = 4x - 7y (Equation 1)
For Person B:
- Savings = Earnings - Expenses
- 50 = 5x - 9y (Equation 2)
Step 3: Solve the Equations
- Rearranging Equation 1:
- 4x - 7y = 50
- Rearranging Equation 2:
- 5x - 9y = 50
Now, we can solve these two equations simultaneously.
Step 4: Eliminate Variables
- Multiply Equation 1 by 5:
- 20x - 35y = 250 (Equation 3)
- Multiply Equation 2 by 4:
- 20x - 36y = 200 (Equation 4)
Now, subtract Equation 4 from Equation 3:
- (20x - 35y) - (20x - 36y) = 250 - 200
- y = 50
Step 5: Substitute to Find x
- Substitute y = 50 back into Equation 1:
- 4x - 7(50) = 50
- 4x - 350 = 50
- 4x = 400
- x = 100
Final Earnings Calculation
- Daily earnings for Person A:
- 4x = 4 * 100 = ₹400
- Daily earnings for Person B:
- 5x = 5 * 100 = ₹500
Conclusion
The daily earnings of the two persons are ₹400 and ₹500 respectively.
To find the daily earnings of two persons given their savings, we start by defining their earnings and expenses.
Step 1: Define Earnings and Expenses
- Let the daily earnings of Person A be 4x and Person B be 5x.
- Let the daily expenses of Person A be 7y and Person B be 9y.
Step 2: Define Savings
- Given that both save ₹50 per day:
For Person A:
- Savings = Earnings - Expenses
- 50 = 4x - 7y (Equation 1)
For Person B:
- Savings = Earnings - Expenses
- 50 = 5x - 9y (Equation 2)
Step 3: Solve the Equations
- Rearranging Equation 1:
- 4x - 7y = 50
- Rearranging Equation 2:
- 5x - 9y = 50
Now, we can solve these two equations simultaneously.
Step 4: Eliminate Variables
- Multiply Equation 1 by 5:
- 20x - 35y = 250 (Equation 3)
- Multiply Equation 2 by 4:
- 20x - 36y = 200 (Equation 4)
Now, subtract Equation 4 from Equation 3:
- (20x - 35y) - (20x - 36y) = 250 - 200
- y = 50
Step 5: Substitute to Find x
- Substitute y = 50 back into Equation 1:
- 4x - 7(50) = 50
- 4x - 350 = 50
- 4x = 400
- x = 100
Final Earnings Calculation
- Daily earnings for Person A:
- 4x = 4 * 100 = ₹400
- Daily earnings for Person B:
- 5x = 5 * 100 = ₹500
Conclusion
The daily earnings of the two persons are ₹400 and ₹500 respectively.
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Daily earnings of two persons are in the ratio 4:5 and their daily expenses are in the ratio 7 : 9. If each saves ` 50 per day, their daily earn in?
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Daily earnings of two persons are in the ratio 4:5 and their daily expenses are in the ratio 7 : 9. If each saves ` 50 per day, their daily earn in? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Daily earnings of two persons are in the ratio 4:5 and their daily expenses are in the ratio 7 : 9. If each saves ` 50 per day, their daily earn in? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Daily earnings of two persons are in the ratio 4:5 and their daily expenses are in the ratio 7 : 9. If each saves ` 50 per day, their daily earn in?.
Daily earnings of two persons are in the ratio 4:5 and their daily expenses are in the ratio 7 : 9. If each saves ` 50 per day, their daily earn in? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Daily earnings of two persons are in the ratio 4:5 and their daily expenses are in the ratio 7 : 9. If each saves ` 50 per day, their daily earn in? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Daily earnings of two persons are in the ratio 4:5 and their daily expenses are in the ratio 7 : 9. If each saves ` 50 per day, their daily earn in?.
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