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28 Mar 2016, 02:25
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A
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Difficulty:
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Question Stats:
86% (02:16) correct
14%
(03:00)
wrong
based on 574
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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
A. 8/9
B. 11/12
C. 8/13
D. 11/13
E. 12/13
28 Mar 2016, 09:41
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let Rex's , quentin's and sam's income be R , Q and S
as per the question !!
Q = 0.40R (Quentin's income is 60% less than Rex's)
S = 0.30R (Sam's income is 25% less than Quentin's)
after the transaction ,
S = 0.30R + 0.60R ( Rex gave 60% of his income to Sam)
Q = 0.40R + 0.40R (Rex gave 40% of his income to quentin)
Ratio Q/S = 80R/90R =8/9
as per the question !!
Q = 0.40R (Quentin's income is 60% less than Rex's)
S = 0.30R (Sam's income is 25% less than Quentin's)
after the transaction ,
S = 0.30R + 0.60R ( Rex gave 60% of his income to Sam)
Q = 0.40R + 0.40R (Rex gave 40% of his income to quentin)
Ratio Q/S = 80R/90R =8/9
General Discussion
28 Mar 2016, 09:56
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My approach :
We can take some easy numbers and make calculations simpler.
Let R ( Rex's income) = 100
Q (Quentin's income) = 40%R = 40
S (Sam's income) = 75% Q = (3/4)*40 = 30
Now, if Rex gives 40% to Quentin --> Q = 40 + 40 = 80
60% given to Sam --> S = 30+60 = 90
The ratio is : Q/S = 80/90 = 8/9
We can take some easy numbers and make calculations simpler.
Let R ( Rex's income) = 100
Q (Quentin's income) = 40%R = 40
S (Sam's income) = 75% Q = (3/4)*40 = 30
Now, if Rex gives 40% to Quentin --> Q = 40 + 40 = 80
60% given to Sam --> S = 30+60 = 90
The ratio is : Q/S = 80/90 = 8/9
