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Monthly incomes of two persons 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 incomes.?
the ratio 7 : 9. If each saves ` 50 per month find their monthly incomes.?
Most Upvoted Answer
Monthly incomes of two persons are in the ratio 4 : 5 and their monthl...
Understanding the Problem
To find the monthly incomes of the two persons, we need to analyze the given ratios of their incomes and expenses, along with their savings.
Given Ratios
- Monthly Incomes Ratio: 4 : 5
- Monthly Expenses Ratio: 7 : 9
- Savings: Each person saves `50 per month.
Let’s Define Variables
- Let the incomes be represented as:
- Income of Person A = 4x
- Income of Person B = 5x
- Let the expenses be represented as:
- Expense of Person A = 7y
- Expense of Person B = 9y
Setting Up the Equations
Since savings are defined as income minus expenses, we can set up the following equations for both persons:
- For Person A:
4x - 7y = 50
- For Person B:
5x - 9y = 50
Solving the Equations
1. From the first equation (4x - 7y = 50), rearranging gives:
4x = 7y + 50
2. From the second equation (5x - 9y = 50), rearranging gives:
5x = 9y + 50
Now we can express the two equations in terms of y and substitute to find the values of x and y.
Finding Values of x and y
1. Substitute the expression for 4x into 5x:
- 5(7y + 50)/4 = 9y + 50
2. Simplifying this will allow us to solve for y, after which we can find x.
After calculating, we can determine:
- x = 50
- y = 25
Calculating Monthly Incomes
Now substituting back:
- Income of Person A = 4x = 4 * 50 = `200
- Income of Person B = 5x = 5 * 50 = `250
Conclusion
The monthly incomes of the two persons are:
- Person A: `200
- Person B: `250
To find the monthly incomes of the two persons, we need to analyze the given ratios of their incomes and expenses, along with their savings.
Given Ratios
- Monthly Incomes Ratio: 4 : 5
- Monthly Expenses Ratio: 7 : 9
- Savings: Each person saves `50 per month.
Let’s Define Variables
- Let the incomes be represented as:
- Income of Person A = 4x
- Income of Person B = 5x
- Let the expenses be represented as:
- Expense of Person A = 7y
- Expense of Person B = 9y
Setting Up the Equations
Since savings are defined as income minus expenses, we can set up the following equations for both persons:
- For Person A:
4x - 7y = 50
- For Person B:
5x - 9y = 50
Solving the Equations
1. From the first equation (4x - 7y = 50), rearranging gives:
4x = 7y + 50
2. From the second equation (5x - 9y = 50), rearranging gives:
5x = 9y + 50
Now we can express the two equations in terms of y and substitute to find the values of x and y.
Finding Values of x and y
1. Substitute the expression for 4x into 5x:
- 5(7y + 50)/4 = 9y + 50
2. Simplifying this will allow us to solve for y, after which we can find x.
After calculating, we can determine:
- x = 50
- y = 25
Calculating Monthly Incomes
Now substituting back:
- Income of Person A = 4x = 4 * 50 = `200
- Income of Person B = 5x = 5 * 50 = `250
Conclusion
The monthly incomes of the two persons are:
- Person A: `200
- Person B: `250
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Monthly incomes of two persons 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 incomes.?
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Monthly incomes of two persons 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 incomes.? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Monthly incomes of two persons 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 incomes.? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Monthly incomes of two persons 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 incomes.?.
Monthly incomes of two persons 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 incomes.? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Monthly incomes of two persons 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 incomes.? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Monthly incomes of two persons 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 incomes.?.
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