Quentin's income is 60% less than Rex's income, and Sam's income is 25% less than Quentin's income. If Rex gave 60% of his income to Sam and 40% of his income to Quentin, Quentin's new income would be what fraction of Sam's new income?
A. 8/9
B. 11/12
C. 8/13
D. 11/13
E. 12/13
Let Rex's income be = 100
Quentin's income = 60% less than Rex's income = 40% of 100 = 40
Sam's income = 25% less than Quentin's income = 75% of 40 = \(\frac{75}{100}\) x 40 = 30
Rex gave 60% of his income to Sam = 60% of 100 = \(\frac{60}{100}\) x 100 = 60
Sam's new income = 30 + 60 = 90
Rex gave 40% of his income to Quentin = 40% of 100 = \(\frac{40}{100}\) x 100 = 40
Quentin's new income = 40 + 40 = 80
Required fraction = Quentin's new income / Sam's new income = \(\frac{80}{90}\) =
\(\frac{8}{9}\)Answer A...
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