The incomes of A and B are in the ratio of 3:2 and their expenses are in the…
2026
The incomes of A and B are in the ratio of 3:2 and their expenses are in the ratio of 5:3. If each of them saves Rs. 3000, then A's income (in Rs.) is:
- A.
₹15000
- B.
₹12000
- C.
₹6000
- D.
₹18000
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Correct answer: D
Let A's income be 3x and B's income be 2x. Let A's expenses be 5y and B's expenses be 3y.
Given savings are Rs. 3000 for both.
Equation 1: 3x - 5y = 3000
Equation 2: 2x - 3y = 3000
Solving the system of equations:
Multiply Eq 1 by 3: 9x - 15y = 9000
Multiply Eq 2 by 5: 10x - 15y = 15000
Subtracting gives x = 6000
A's Income = 3x = 3 * 6000 = Rs. 18000.