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The ratio of weekly incomes of A and B is 9 : 7 and the ratio of their expenditures is 4 : 3. If each saves Rs. 200 per week, then the sum of their weekly incomes is
- a)Rs. 3,200
- b)Rs. 4,200
- c)Rs. 4,800
- d)Rs. 5,600
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
The ratio of weekly incomes of A and B is 9 : 7 and the ratio of their...
Given ratio of weekly income of A and B is 9 : 7 and ratio of their expenditure is 4 : 3.
Let the weekly income of A is Rs. 9x and weekly income of B be Rs. 7x
We know that, Expenditure = Income – Savings
Since savings of both A and B is Rs. 200. Thus,
Weekly expenditure of A = (9x – 200)
Similarly, weekly expenditure of B = (7x – 200)
Since the ratio of weekly expenditure is 4 : 3, hence
⇒ 27x – 600 = 28x – 800
⇒ x = 200
Hence, the weekly income of A = 9 × x
= Rs. 1800
Also, weekly income of B = 7 × x
= Rs. 1400
∴ The sum of weekly income of A and B = Rs. (1800 + 1400)
= Rs. 3200
Most Upvoted Answer
The ratio of weekly incomes of A and B is 9 : 7 and the ratio of their...
Given information:
- Ratio of weekly incomes of A and B is 9:7
- Ratio of their expenditures is 4:3
- Each saves Rs. 200 per week
To find: Sum of their weekly incomes
Solution:
Let the weekly incomes of A and B be 9x and 7x respectively.
Let the weekly expenditures of A and B be 4y and 3y respectively.
As per the given information, we have:
- 9x/7x = 9/7 (ratio of weekly incomes)
- 4y/3y = 4/3 (ratio of expenditures)
We are given that each saves Rs. 200 per week. So, we can write:
- (9x - 4y) = 200
- (7x - 3y) = 200
Solving these equations, we get:
- x = 400
- y = 150
Substituting these values in the equations for weekly incomes, we get:
- Income of A = 9x = 9*400 = Rs. 3600
- Income of B = 7x = 7*400 = Rs. 2800
Sum of their weekly incomes = Rs. 3600 + Rs. 2800 = Rs. 6400
Therefore, the correct answer is option (A) Rs. 3200.
Note: The given information about the ratios of incomes and expenditures, along with the fact that both A and B save the same amount, allows us to form equations and solve for the values of x and y. Substituting these values in the equation for incomes gives us the answer.
- Ratio of weekly incomes of A and B is 9:7
- Ratio of their expenditures is 4:3
- Each saves Rs. 200 per week
To find: Sum of their weekly incomes
Solution:
Let the weekly incomes of A and B be 9x and 7x respectively.
Let the weekly expenditures of A and B be 4y and 3y respectively.
As per the given information, we have:
- 9x/7x = 9/7 (ratio of weekly incomes)
- 4y/3y = 4/3 (ratio of expenditures)
We are given that each saves Rs. 200 per week. So, we can write:
- (9x - 4y) = 200
- (7x - 3y) = 200
Solving these equations, we get:
- x = 400
- y = 150
Substituting these values in the equations for weekly incomes, we get:
- Income of A = 9x = 9*400 = Rs. 3600
- Income of B = 7x = 7*400 = Rs. 2800
Sum of their weekly incomes = Rs. 3600 + Rs. 2800 = Rs. 6400
Therefore, the correct answer is option (A) Rs. 3200.
Note: The given information about the ratios of incomes and expenditures, along with the fact that both A and B save the same amount, allows us to form equations and solve for the values of x and y. Substituting these values in the equation for incomes gives us the answer.
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The ratio of weekly incomes of A and B is 9 : 7 and the ratio of their expenditures is 4 : 3. If each saves Rs. 200 per week, then the sum of their weekly incomes isa)Rs. 3,200b)Rs. 4,200c)Rs. 4,800d)Rs. 5,600Correct answer is option 'A'. Can you explain this answer?
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The ratio of weekly incomes of A and B is 9 : 7 and the ratio of their expenditures is 4 : 3. If each saves Rs. 200 per week, then the sum of their weekly incomes isa)Rs. 3,200b)Rs. 4,200c)Rs. 4,800d)Rs. 5,600Correct answer is option 'A'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about The ratio of weekly incomes of A and B is 9 : 7 and the ratio of their expenditures is 4 : 3. If each saves Rs. 200 per week, then the sum of their weekly incomes isa)Rs. 3,200b)Rs. 4,200c)Rs. 4,800d)Rs. 5,600Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The ratio of weekly incomes of A and B is 9 : 7 and the ratio of their expenditures is 4 : 3. If each saves Rs. 200 per week, then the sum of their weekly incomes isa)Rs. 3,200b)Rs. 4,200c)Rs. 4,800d)Rs. 5,600Correct answer is option 'A'. Can you explain this answer?.
The ratio of weekly incomes of A and B is 9 : 7 and the ratio of their expenditures is 4 : 3. If each saves Rs. 200 per week, then the sum of their weekly incomes isa)Rs. 3,200b)Rs. 4,200c)Rs. 4,800d)Rs. 5,600Correct answer is option 'A'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about The ratio of weekly incomes of A and B is 9 : 7 and the ratio of their expenditures is 4 : 3. If each saves Rs. 200 per week, then the sum of their weekly incomes isa)Rs. 3,200b)Rs. 4,200c)Rs. 4,800d)Rs. 5,600Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The ratio of weekly incomes of A and B is 9 : 7 and the ratio of their expenditures is 4 : 3. If each saves Rs. 200 per week, then the sum of their weekly incomes isa)Rs. 3,200b)Rs. 4,200c)Rs. 4,800d)Rs. 5,600Correct answer is option 'A'. Can you explain this answer?.
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