The ratio of incomes of A and B are in the ratio 2:3 and the expenditures are in ratio 1:2.If each saves 24000.Find A's income
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Let the total income of A and B be x.
Sum of the ratios = 2 + 3 = 5
A's income = 2/5x
B's income = 3/5x
The expenditure of A = 2/5x - 24000
The expenditure of B = 3/5x - 24000
the ratio of their expenditures:
(0.4x - 24000) / (0.6x - 24000) = 1/2
2(0.4x - 24000) = 0.6x - 24000
0.8x - 48000 = 0.6x - 24000
0.8x - 0.6x = - 24000 + 48000
0.2x = 24000
x = 120000
A's income = 0.4 × 120000 = 48000
B's income = 0.6 × 120000 = 72000
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