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if income ratio is 3:2 of a&b and their expenditure ratio is 5:3 if they save 1500 each what is the income of b?
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if income ratio is 3:2 of a&b and their expenditure ratio is 5:3 if th...
Let income be t1:t2=3:2
Let expaditure be x1:x2=5:3
Both of their savings is 1500
x1=t1-1500..............1
x2=t2-1500..............2
Divide equation 1 with 2
x1/x2=(t1-1500)/(t2-1500)
5/3=(t1-1500)/(t2-1500)
3.t2-7500=3.t1-4500
3.t1+3000=5.t2
3.t1/t2+3000/t2=5
9/2+3000/t2=5
t2=6000
Income of b is 6000
Let expaditure be x1:x2=5:3
Both of their savings is 1500
x1=t1-1500..............1
x2=t2-1500..............2
Divide equation 1 with 2
x1/x2=(t1-1500)/(t2-1500)
5/3=(t1-1500)/(t2-1500)
3.t2-7500=3.t1-4500
3.t1+3000=5.t2
3.t1/t2+3000/t2=5
9/2+3000/t2=5
t2=6000
Income of b is 6000
Community Answer
if income ratio is 3:2 of a&b and their expenditure ratio is 5:3 if th...
Income Ratio and Expenditure Ratio:
- The income ratio of A and B is 3:2, and their expenditure ratio is 5:3.
- Let's assume the income of A is 3x and the income of B is 2x.
Savings of A and B:
- Both A and B save $1500 each.
- So, A saves $1500, which is 3x - 5y (since the expenditure ratio is 5:3).
- Similarly, B saves $1500, which is 2x - 3y.
Finding the Value of x and y:
- We can set up equations based on the given information.
- From the savings equations, we have 3x - 5y = 1500 and 2x - 3y = 1500.
- Solving these equations simultaneously, we get x = 1500 and y = 300.
Income of B:
- We know the income of B is 2x, where x = 1500.
- Therefore, the income of B = 2 * 1500 = $3000.
In conclusion, the income of B is $3000.
- The income ratio of A and B is 3:2, and their expenditure ratio is 5:3.
- Let's assume the income of A is 3x and the income of B is 2x.
Savings of A and B:
- Both A and B save $1500 each.
- So, A saves $1500, which is 3x - 5y (since the expenditure ratio is 5:3).
- Similarly, B saves $1500, which is 2x - 3y.
Finding the Value of x and y:
- We can set up equations based on the given information.
- From the savings equations, we have 3x - 5y = 1500 and 2x - 3y = 1500.
- Solving these equations simultaneously, we get x = 1500 and y = 300.
Income of B:
- We know the income of B is 2x, where x = 1500.
- Therefore, the income of B = 2 * 1500 = $3000.
In conclusion, the income of B is $3000.
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if income ratio is 3:2 of a&b and their expenditure ratio is 5:3 if they save 1500 each what is the income of b? Related: ICAI Notes of Ch 1.1, Ratio and Proportion, "Ratio, Proportions, indices and logarithms"
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if income ratio is 3:2 of a&b and their expenditure ratio is 5:3 if they save 1500 each what is the income of b? Related: ICAI Notes of Ch 1.1, Ratio and Proportion, "Ratio, Proportions, indices and logarithms" for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about if income ratio is 3:2 of a&b and their expenditure ratio is 5:3 if they save 1500 each what is the income of b? Related: ICAI Notes of Ch 1.1, Ratio and Proportion, "Ratio, Proportions, indices and logarithms" covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for if income ratio is 3:2 of a&b and their expenditure ratio is 5:3 if they save 1500 each what is the income of b? Related: ICAI Notes of Ch 1.1, Ratio and Proportion, "Ratio, Proportions, indices and logarithms".
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