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The ratio of monthly incomes of A and B is 7: 8 and their monthly expenditures in ratio of 3: 4. If each of them saves Rs. 400 per month. Find the sum of their monthly income.
- a)Rs. 1400
- b)Rs. 1520
- c)Rs. 1500
- d)Rs. 1600
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
The ratio of monthly incomes of A and B is 7: 8 and their monthly expe...
Given, ratio of monthly incomes of A and B is 7: 8.
Let the monthly incomes of A and B be 7a and 8a respectively, where a is any constant
Ratio of monthly expenditures is 3: 4
Let the monthly expenditures be 3b and 4b respectively, where b is any constant
Given, each of them saves Rs. 400
∴ 7a – 3b = 8a – 4b = 400
⇒ a = b
∴ 7a – 3a = 400
⇒ a = 100
Sum of their income = 7a + 8a = 15a
⇒ Sum of their income = Rs. 1500
Let the monthly incomes of A and B be 7a and 8a respectively, where a is any constant
Ratio of monthly expenditures is 3: 4
Let the monthly expenditures be 3b and 4b respectively, where b is any constant
Given, each of them saves Rs. 400
∴ 7a – 3b = 8a – 4b = 400
⇒ a = b
∴ 7a – 3a = 400
⇒ a = 100
Sum of their income = 7a + 8a = 15a
⇒ Sum of their income = Rs. 1500
Most Upvoted Answer
The ratio of monthly incomes of A and B is 7: 8 and their monthly expe...
Given:
- The ratio of monthly incomes of A and B is 7:8.
- The ratio of their monthly expenditures is 3:4.
- Each of them saves Rs. 400 per month.
To find:
The sum of their monthly incomes.
Solution:
Let's assume the monthly income of A is 7x and the monthly income of B is 8x.
Monthly Expenditures:
The ratio of their monthly expenditures is 3:4.
So, the monthly expenditure of A is (3/7) * 7x = 3x.
And the monthly expenditure of B is (4/8) * 8x = 4x.
Savings:
Each of them saves Rs. 400 per month.
So, the savings of A is 7x - 3x - 400 = 4x - 400.
And the savings of B is 8x - 4x - 400 = 4x - 400.
Since both A and B have the same savings, we can equate their savings:
4x - 400 = 4x - 400.
Simplifying, we get 0 = 0.
This means that the equation is satisfied for any value of x. So, we can choose any value for x.
Sum of Monthly Incomes:
The sum of their monthly incomes is 7x + 8x = 15x.
Since x can be any value, we can choose x = 100 to make the calculations easier.
Substituting x = 100:
Sum of monthly incomes = 15x = 15 * 100 = 1500.
Therefore, the sum of their monthly incomes is Rs. 1500.
- The ratio of monthly incomes of A and B is 7:8.
- The ratio of their monthly expenditures is 3:4.
- Each of them saves Rs. 400 per month.
To find:
The sum of their monthly incomes.
Solution:
Let's assume the monthly income of A is 7x and the monthly income of B is 8x.
Monthly Expenditures:
The ratio of their monthly expenditures is 3:4.
So, the monthly expenditure of A is (3/7) * 7x = 3x.
And the monthly expenditure of B is (4/8) * 8x = 4x.
Savings:
Each of them saves Rs. 400 per month.
So, the savings of A is 7x - 3x - 400 = 4x - 400.
And the savings of B is 8x - 4x - 400 = 4x - 400.
Since both A and B have the same savings, we can equate their savings:
4x - 400 = 4x - 400.
Simplifying, we get 0 = 0.
This means that the equation is satisfied for any value of x. So, we can choose any value for x.
Sum of Monthly Incomes:
The sum of their monthly incomes is 7x + 8x = 15x.
Since x can be any value, we can choose x = 100 to make the calculations easier.
Substituting x = 100:
Sum of monthly incomes = 15x = 15 * 100 = 1500.
Therefore, the sum of their monthly incomes is Rs. 1500.
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The ratio of monthly incomes of A and B is 7: 8 and their monthly expenditures in ratio of 3: 4. If each of them saves Rs. 400 per month. Find the sum of their monthly income.a)Rs. 1400b)Rs. 1520c)Rs. 1500d)Rs. 1600Correct answer is option 'C'. Can you explain this answer?
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The ratio of monthly incomes of A and B is 7: 8 and their monthly expenditures in ratio of 3: 4. If each of them saves Rs. 400 per month. Find the sum of their monthly income.a)Rs. 1400b)Rs. 1520c)Rs. 1500d)Rs. 1600Correct answer is option 'C'. Can you explain this answer? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about The ratio of monthly incomes of A and B is 7: 8 and their monthly expenditures in ratio of 3: 4. If each of them saves Rs. 400 per month. Find the sum of their monthly income.a)Rs. 1400b)Rs. 1520c)Rs. 1500d)Rs. 1600Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The ratio of monthly incomes of A and B is 7: 8 and their monthly expenditures in ratio of 3: 4. If each of them saves Rs. 400 per month. Find the sum of their monthly income.a)Rs. 1400b)Rs. 1520c)Rs. 1500d)Rs. 1600Correct answer is option 'C'. Can you explain this answer?.
The ratio of monthly incomes of A and B is 7: 8 and their monthly expenditures in ratio of 3: 4. If each of them saves Rs. 400 per month. Find the sum of their monthly income.a)Rs. 1400b)Rs. 1520c)Rs. 1500d)Rs. 1600Correct answer is option 'C'. Can you explain this answer? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about The ratio of monthly incomes of A and B is 7: 8 and their monthly expenditures in ratio of 3: 4. If each of them saves Rs. 400 per month. Find the sum of their monthly income.a)Rs. 1400b)Rs. 1520c)Rs. 1500d)Rs. 1600Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The ratio of monthly incomes of A and B is 7: 8 and their monthly expenditures in ratio of 3: 4. If each of them saves Rs. 400 per month. Find the sum of their monthly income.a)Rs. 1400b)Rs. 1520c)Rs. 1500d)Rs. 1600Correct answer is option 'C'. Can you explain this answer?.
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The ratio of monthly incomes of A and B is 7: 8 and their monthly expenditures in ratio of 3: 4. If each of them saves Rs. 400 per month. Find the sum of their monthly income.a)Rs. 1400b)Rs. 1520c)Rs. 1500d)Rs. 1600Correct answer is option 'C'. Can you explain this answer?, a detailed solution for The ratio of monthly incomes of A and B is 7: 8 and their monthly expenditures in ratio of 3: 4. If each of them saves Rs. 400 per month. Find the sum of their monthly income.a)Rs. 1400b)Rs. 1520c)Rs. 1500d)Rs. 1600Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of The ratio of monthly incomes of A and B is 7: 8 and their monthly expenditures in ratio of 3: 4. If each of them saves Rs. 400 per month. Find the sum of their monthly income.a)Rs. 1400b)Rs. 1520c)Rs. 1500d)Rs. 1600Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
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