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The incomes of A and B are in the ratio 6 : 11. The ratio of their expenditures is 1 : 2. If A and B save Rs9,000 and Rs11,500,
respectively, then the expenditure of B is:
Rs55,500
Rs54,900
Rs55,800
Rs60,000
- Let's denote A's income and expenditures as 6x and y, and B's income and expenditures as 11x and 2y.
- A's savings: 6x - y = Rs 9,000.
- B's savings: 11x - 2y = Rs 11,500.
- Solving these two equations:
1) 6x - y = 9,000
2) 11x - 2y = 11,500
- Solve equation 1) for y:
y = 6x - 9,000
- Substitute y in equation 2):
11x - 2(6x - 9,000) = 11,500
11x - 12x + 18,000 = 11,500
-x = -6,500
x = 6,500
- Calculate B's expenditure:
B's income = 11x = 11 * 6,500 = Rs 71,500
B's savings = Rs 11,500
B’s expenditure = 71,500 - 11,500 = Rs 60,000
- Option 4: Rs 60,000 is correct.
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