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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?
Most Upvoted Answer
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
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.
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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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