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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