Commerce Exam > Commerce Questions > The money incomes of Aryan and Babban are in ...
Start Learning for Free
The money incomes of Aryan and Babban are in the ratio 3:4 as their monthly expenditures are in the ratio 5:7. If each saves rs 15,000 per month, find their monthly income using matrix method. everyone, this is class 12 matrix Q, kindly help me solve this Q with complete explanation. I hv been trying to solve it for quite some time but hvn' been able to. Kindly help.?
Most Upvoted Answer
The money incomes of Aryan and Babban are in the ratio 3:4 as their mo...
Given:
The money incomes of Aryan and Babban are in the ratio 3:4 as their monthly expenditures are in the ratio 5:7. If each saves Rs 15,000 per month.
To find:
Monthly income of Aryan and Babban using matrix method.
Solution:
Let the monthly income of Aryan and Babban be 3x and 4x respectively.
Their monthly expenditure will be (5/12) * 3x and (7/12) * 4x respectively.
According to the question, each saves Rs 15,000 per month.
Therefore,
3x - (5/12) * 3x - 15000 = 4x - (7/12) * 4x - 15000
Multiplying by 12 on both sides, we get
36x - 15x - 180000 = 48x - 28x - 180000
Simplifying, we get
3x = Rs 150,000
x = Rs 50,000
Hence, the monthly income of Aryan and Babban are 3x and 4x respectively, which is
3 * Rs 50,000 = Rs 150,000
4 * Rs 50,000 = Rs 200,000
Therefore, the monthly income of Aryan and Babban are Rs 150,000 and Rs 200,000 respectively.
HTML Code:
Given:
To find:
Solution:
The money incomes of Aryan and Babban are in the ratio 3:4 as their monthly expenditures are in the ratio 5:7. If each saves Rs 15,000 per month.
To find:
Monthly income of Aryan and Babban using matrix method.
Solution:
Let the monthly income of Aryan and Babban be 3x and 4x respectively.
Their monthly expenditure will be (5/12) * 3x and (7/12) * 4x respectively.
According to the question, each saves Rs 15,000 per month.
Therefore,
3x - (5/12) * 3x - 15000 = 4x - (7/12) * 4x - 15000
Multiplying by 12 on both sides, we get
36x - 15x - 180000 = 48x - 28x - 180000
Simplifying, we get
3x = Rs 150,000
x = Rs 50,000
Hence, the monthly income of Aryan and Babban are 3x and 4x respectively, which is
3 * Rs 50,000 = Rs 150,000
4 * Rs 50,000 = Rs 200,000
Therefore, the monthly income of Aryan and Babban are Rs 150,000 and Rs 200,000 respectively.
HTML Code:
Given:
The money incomes of Aryan and Babban are in the ratio 3:4 as their monthly expenditures are in the ratio 5:7. If each saves Rs 15,000 per month.
To find:
Monthly income of Aryan and Babban using matrix method.
Solution:
- Let the monthly income of Aryan and Babban be 3x and 4x respectively.
- Their monthly expenditure will be (5/12) * 3x and (7/12) * 4x respectively.
- According to the question, each saves Rs 15,000 per month.
- Therefore, 3x - (5/12) * 3x - 15000 = 4x - (7/12) * 4x - 15000
- Multiplying by 12 on both sides, we get 36x - 15x - 180000 = 48x - 28x - 180000
- Simplifying, we get 3x = Rs 150,000
- So, x = Rs 50,000
- Hence, the monthly income of Aryan and Babban are 3x and 4x respectively, which is 3 * Rs 50,000 = Rs 150,000 and 4 * Rs 50,000 = Rs 200,000.
Community Answer
The money incomes of Aryan and Babban are in the ratio 3:4 as their mo...
Let the income be x and expenditure be y
so , as we know , Income - expenditure = savings
therefore , using the given ratios ,
we have two equations
1) 3x-5y=15,000
2) 4x-7y=15,000
solving them by making their matrix and using inverse method or row reduction method , we get x=30,000 and y=15,000
therefore , income of
A: 3x = 3×30,000 = 90,000₹
B:4x = 4×30,000 = 1,20,000₹
If you want to verify if it's right or wrong , just substitute the value of y=15,000 in the two equations and subtract expenditure form income of both A and B .
so , as we know , Income - expenditure = savings
therefore , using the given ratios ,
we have two equations
1) 3x-5y=15,000
2) 4x-7y=15,000
solving them by making their matrix and using inverse method or row reduction method , we get x=30,000 and y=15,000
therefore , income of
A: 3x = 3×30,000 = 90,000₹
B:4x = 4×30,000 = 1,20,000₹
If you want to verify if it's right or wrong , just substitute the value of y=15,000 in the two equations and subtract expenditure form income of both A and B .
|
Explore Courses for Commerce exam
|
|
Top Courses for CommerceView all
The money incomes of Aryan and Babban are in the ratio 3:4 as their monthly expenditures are in the ratio 5:7. If each saves rs 15,000 per month, find their monthly income using matrix method. everyone, this is class 12 matrix Q, kindly help me solve this Q with complete explanation. I hv been trying to solve it for quite some time but hvn' been able to. Kindly help.?
Question Description
The money incomes of Aryan and Babban are in the ratio 3:4 as their monthly expenditures are in the ratio 5:7. If each saves rs 15,000 per month, find their monthly income using matrix method. everyone, this is class 12 matrix Q, kindly help me solve this Q with complete explanation. I hv been trying to solve it for quite some time but hvn' been able to. Kindly help.? for Commerce 2025 is part of Commerce preparation. The Question and answers have been prepared according to the Commerce exam syllabus. Information about The money incomes of Aryan and Babban are in the ratio 3:4 as their monthly expenditures are in the ratio 5:7. If each saves rs 15,000 per month, find their monthly income using matrix method. everyone, this is class 12 matrix Q, kindly help me solve this Q with complete explanation. I hv been trying to solve it for quite some time but hvn' been able to. Kindly help.? covers all topics & solutions for Commerce 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The money incomes of Aryan and Babban are in the ratio 3:4 as their monthly expenditures are in the ratio 5:7. If each saves rs 15,000 per month, find their monthly income using matrix method. everyone, this is class 12 matrix Q, kindly help me solve this Q with complete explanation. I hv been trying to solve it for quite some time but hvn' been able to. Kindly help.?.
The money incomes of Aryan and Babban are in the ratio 3:4 as their monthly expenditures are in the ratio 5:7. If each saves rs 15,000 per month, find their monthly income using matrix method. everyone, this is class 12 matrix Q, kindly help me solve this Q with complete explanation. I hv been trying to solve it for quite some time but hvn' been able to. Kindly help.? for Commerce 2025 is part of Commerce preparation. The Question and answers have been prepared according to the Commerce exam syllabus. Information about The money incomes of Aryan and Babban are in the ratio 3:4 as their monthly expenditures are in the ratio 5:7. If each saves rs 15,000 per month, find their monthly income using matrix method. everyone, this is class 12 matrix Q, kindly help me solve this Q with complete explanation. I hv been trying to solve it for quite some time but hvn' been able to. Kindly help.? covers all topics & solutions for Commerce 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The money incomes of Aryan and Babban are in the ratio 3:4 as their monthly expenditures are in the ratio 5:7. If each saves rs 15,000 per month, find their monthly income using matrix method. everyone, this is class 12 matrix Q, kindly help me solve this Q with complete explanation. I hv been trying to solve it for quite some time but hvn' been able to. Kindly help.?.
Solutions for The money incomes of Aryan and Babban are in the ratio 3:4 as their monthly expenditures are in the ratio 5:7. If each saves rs 15,000 per month, find their monthly income using matrix method. everyone, this is class 12 matrix Q, kindly help me solve this Q with complete explanation. I hv been trying to solve it for quite some time but hvn' been able to. Kindly help.? in English & in Hindi are available as part of our courses for Commerce.
Download more important topics, notes, lectures and mock test series for Commerce Exam by signing up for free.
Here you can find the meaning of The money incomes of Aryan and Babban are in the ratio 3:4 as their monthly expenditures are in the ratio 5:7. If each saves rs 15,000 per month, find their monthly income using matrix method. everyone, this is class 12 matrix Q, kindly help me solve this Q with complete explanation. I hv been trying to solve it for quite some time but hvn' been able to. Kindly help.? defined & explained in the simplest way possible. Besides giving the explanation of
The money incomes of Aryan and Babban are in the ratio 3:4 as their monthly expenditures are in the ratio 5:7. If each saves rs 15,000 per month, find their monthly income using matrix method. everyone, this is class 12 matrix Q, kindly help me solve this Q with complete explanation. I hv been trying to solve it for quite some time but hvn' been able to. Kindly help.?, a detailed solution for The money incomes of Aryan and Babban are in the ratio 3:4 as their monthly expenditures are in the ratio 5:7. If each saves rs 15,000 per month, find their monthly income using matrix method. everyone, this is class 12 matrix Q, kindly help me solve this Q with complete explanation. I hv been trying to solve it for quite some time but hvn' been able to. Kindly help.? has been provided alongside types of The money incomes of Aryan and Babban are in the ratio 3:4 as their monthly expenditures are in the ratio 5:7. If each saves rs 15,000 per month, find their monthly income using matrix method. everyone, this is class 12 matrix Q, kindly help me solve this Q with complete explanation. I hv been trying to solve it for quite some time but hvn' been able to. Kindly help.? theory, EduRev gives you an
ample number of questions to practice The money incomes of Aryan and Babban are in the ratio 3:4 as their monthly expenditures are in the ratio 5:7. If each saves rs 15,000 per month, find their monthly income using matrix method. everyone, this is class 12 matrix Q, kindly help me solve this Q with complete explanation. I hv been trying to solve it for quite some time but hvn' been able to. Kindly help.? tests, examples and also practice Commerce tests.
|
|
Explore Courses for Commerce exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup