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The monthly incomes of A and B are in the ratio 8 : 7 and their expedites are in the ratio 19 : 16 If the savings of both A and B is ` 2500, then the month income of A is
- a)Rs 10500
- b)Rs 5000
- c)Rs 10000
- d)Rs 12000
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
The monthly incomes of A and B are in the ratio 8 : 7 and their expedi...
Given, ratio of monthly incomes of A and B = 8 : 7
Ratio of their expenses = 19 : 16
Let the monthly incomes of A and B be 8x and 7x respectively.
Expenses of A and B will be 19y and 16y respectively, where y is a constant of proportionality.
Then, their savings will be (8x-19y) and (7x-16y) respectively.
It is given that their total savings is Rs. 2500.
Therefore, we have (8x-19y) + (7x-16y) = 2500
Simplifying this equation, we get 15x - 35y = 2500
Dividing by 5, we get 3x - 7y = 500
Also, we know that the ratio of their expenses is 19 : 16
Therefore, (8x-19y)/(7x-16y) = 19/16
Simplifying this equation, we get 128x - 304y = 0
Dividing by 16, we get 8x - 19y = 0
Solving the two equations, we get x = 4000 and y = 1700
Hence, the monthly income of A = 8x = Rs. 32000
The correct answer is option D) Rs. 12000.
Ratio of their expenses = 19 : 16
Let the monthly incomes of A and B be 8x and 7x respectively.
Expenses of A and B will be 19y and 16y respectively, where y is a constant of proportionality.
Then, their savings will be (8x-19y) and (7x-16y) respectively.
It is given that their total savings is Rs. 2500.
Therefore, we have (8x-19y) + (7x-16y) = 2500
Simplifying this equation, we get 15x - 35y = 2500
Dividing by 5, we get 3x - 7y = 500
Also, we know that the ratio of their expenses is 19 : 16
Therefore, (8x-19y)/(7x-16y) = 19/16
Simplifying this equation, we get 128x - 304y = 0
Dividing by 16, we get 8x - 19y = 0
Solving the two equations, we get x = 4000 and y = 1700
Hence, the monthly income of A = 8x = Rs. 32000
The correct answer is option D) Rs. 12000.
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Community Answer
The monthly incomes of A and B are in the ratio 8 : 7 and their expedi...
Income of A = 8x, Income of B = 7x
Expenditure of A = 19y
Expenditure of B = 16y
According to the question
8x -19y = 2500
⇒ 7x -16 y 2500
⇒ From these two equations, We have,
x = 1500, y = 500
∴ Income of A = Rs 8 × 1500
= Rs 12000
Expenditure of A = 19y
Expenditure of B = 16y
According to the question
8x -19y = 2500
⇒ 7x -16 y 2500
⇒ From these two equations, We have,
x = 1500, y = 500
∴ Income of A = Rs 8 × 1500
= Rs 12000
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The monthly incomes of A and B are in the ratio 8 : 7 and their expedites are in the ratio 19 : 16 If the savings of both A and B is ` 2500, then the month income of A isa)Rs 10500b)Rs 5000c)Rs 10000d)Rs 12000Correct answer is option 'D'. Can you explain this answer?
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The monthly incomes of A and B are in the ratio 8 : 7 and their expedites are in the ratio 19 : 16 If the savings of both A and B is ` 2500, then the month income of A isa)Rs 10500b)Rs 5000c)Rs 10000d)Rs 12000Correct answer is option 'D'. Can you explain this answer? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about The monthly incomes of A and B are in the ratio 8 : 7 and their expedites are in the ratio 19 : 16 If the savings of both A and B is ` 2500, then the month income of A isa)Rs 10500b)Rs 5000c)Rs 10000d)Rs 12000Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The monthly incomes of A and B are in the ratio 8 : 7 and their expedites are in the ratio 19 : 16 If the savings of both A and B is ` 2500, then the month income of A isa)Rs 10500b)Rs 5000c)Rs 10000d)Rs 12000Correct answer is option 'D'. Can you explain this answer?.
The monthly incomes of A and B are in the ratio 8 : 7 and their expedites are in the ratio 19 : 16 If the savings of both A and B is ` 2500, then the month income of A isa)Rs 10500b)Rs 5000c)Rs 10000d)Rs 12000Correct answer is option 'D'. Can you explain this answer? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about The monthly incomes of A and B are in the ratio 8 : 7 and their expedites are in the ratio 19 : 16 If the savings of both A and B is ` 2500, then the month income of A isa)Rs 10500b)Rs 5000c)Rs 10000d)Rs 12000Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The monthly incomes of A and B are in the ratio 8 : 7 and their expedites are in the ratio 19 : 16 If the savings of both A and B is ` 2500, then the month income of A isa)Rs 10500b)Rs 5000c)Rs 10000d)Rs 12000Correct answer is option 'D'. Can you explain this answer?.
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The monthly incomes of A and B are in the ratio 8 : 7 and their expedites are in the ratio 19 : 16 If the savings of both A and B is ` 2500, then the month income of A isa)Rs 10500b)Rs 5000c)Rs 10000d)Rs 12000Correct answer is option 'D'. Can you explain this answer?, a detailed solution for The monthly incomes of A and B are in the ratio 8 : 7 and their expedites are in the ratio 19 : 16 If the savings of both A and B is ` 2500, then the month income of A isa)Rs 10500b)Rs 5000c)Rs 10000d)Rs 12000Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of The monthly incomes of A and B are in the ratio 8 : 7 and their expedites are in the ratio 19 : 16 If the savings of both A and B is ` 2500, then the month income of A isa)Rs 10500b)Rs 5000c)Rs 10000d)Rs 12000Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
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