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Monthly income of two person are in the ratio 4:5 and their monthly expenses are in the ratio 7:9 if each saves ₹50 per month find their monthly income?
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Monthly income of two person are in the ratio 4:5 and their monthly ex...
Understanding Monthly Income and Expenses
To find the monthly income of the two individuals, let’s denote their incomes and expenses based on the given ratios.
Step 1: Define Variables
- Let the monthly incomes of Person A and Person B be:
- Income of Person A = 4x
- Income of Person B = 5x
- Let the monthly expenses of Person A and Person B be:
- Expense of Person A = 7y
- Expense of Person B = 9y
Step 2: Set Up the Savings Equation
- Each person saves ₹50 per month. Thus, we can set up the equations for savings:
- Savings of Person A: 4x - 7y = 50
- Savings of Person B: 5x - 9y = 50
Step 3: Solve the Equations
- Rearranging the equations gives:
- 4x - 7y = 50 (Equation 1)
- 5x - 9y = 50 (Equation 2)
- Now, we can solve these equations to find the values of x and y.
Step 4: Finding Common Values
- Multiply Equation 1 by 5 and Equation 2 by 4 to eliminate x:
- 20x - 35y = 250 (From Equation 1)
- 20x - 36y = 200 (From Equation 2)
- Subtract the two equations:
- y = 50
- Substitute y back into Equation 1 or 2 to find x:
- 4x - 7(50) = 50
- 4x = 50 + 350
- 4x = 400
- x = 100
Step 5: Calculate Monthly Incomes
- Monthly income of Person A: 4x = 4(100) = ₹400
- Monthly income of Person B: 5x = 5(100) = ₹500
Conclusion
Thus, the monthly incomes of Person A and Person B are ₹400 and ₹500, respectively.
To find the monthly income of the two individuals, let’s denote their incomes and expenses based on the given ratios.
Step 1: Define Variables
- Let the monthly incomes of Person A and Person B be:
- Income of Person A = 4x
- Income of Person B = 5x
- Let the monthly expenses of Person A and Person B be:
- Expense of Person A = 7y
- Expense of Person B = 9y
Step 2: Set Up the Savings Equation
- Each person saves ₹50 per month. Thus, we can set up the equations for savings:
- Savings of Person A: 4x - 7y = 50
- Savings of Person B: 5x - 9y = 50
Step 3: Solve the Equations
- Rearranging the equations gives:
- 4x - 7y = 50 (Equation 1)
- 5x - 9y = 50 (Equation 2)
- Now, we can solve these equations to find the values of x and y.
Step 4: Finding Common Values
- Multiply Equation 1 by 5 and Equation 2 by 4 to eliminate x:
- 20x - 35y = 250 (From Equation 1)
- 20x - 36y = 200 (From Equation 2)
- Subtract the two equations:
- y = 50
- Substitute y back into Equation 1 or 2 to find x:
- 4x - 7(50) = 50
- 4x = 50 + 350
- 4x = 400
- x = 100
Step 5: Calculate Monthly Incomes
- Monthly income of Person A: 4x = 4(100) = ₹400
- Monthly income of Person B: 5x = 5(100) = ₹500
Conclusion
Thus, the monthly incomes of Person A and Person B are ₹400 and ₹500, respectively.
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Monthly income of two person are in the ratio 4:5 and their monthly expenses are in the ratio 7:9 if each saves ₹50 per month find their monthly income?
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Monthly income of two person are in the ratio 4:5 and their monthly expenses are in the ratio 7:9 if each saves ₹50 per month find their monthly income? 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 Monthly income of two person are in the ratio 4:5 and their monthly expenses are in the ratio 7:9 if each saves ₹50 per month find their monthly income? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Monthly income of two person are in the ratio 4:5 and their monthly expenses are in the ratio 7:9 if each saves ₹50 per month find their monthly income?.
Monthly income of two person are in the ratio 4:5 and their monthly expenses are in the ratio 7:9 if each saves ₹50 per month find their monthly income? 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 Monthly income of two person are in the ratio 4:5 and their monthly expenses are in the ratio 7:9 if each saves ₹50 per month find their monthly income? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Monthly income of two person are in the ratio 4:5 and their monthly expenses are in the ratio 7:9 if each saves ₹50 per month find their monthly income?.
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