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Sam's new income?

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by sanju09 » Sat Apr 30, 2011 2:22 am
Paul's income is 40% less than Rex's income, Quentin's income is 20% less than Paul's income, and Sam's income is 40% less than Paul'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) 11/12
(B) 13/17
(C) 13/19
(D) 12/19
(E) 11/19
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by manpsingh87 » Sat Apr 30, 2011 3:20 am
sanju09 wrote:Paul's income is 40% less than Rex's income, Quentin's income is 20% less than Paul's income, and Sam's income is 40% less than Paul'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) 11/12
(B) 13/17
(C) 13/19
(D) 12/19
(E) 11/19
rex's income =100; paul's income=60; quentin's income=48 and sam's income=36;

after rex give 60% of his income to sam, then sam will have 36+60=96; and also new income of quentin would be 48+40=88;

hence required ratio= 88/96=11/12 hence A
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