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Question

Mary's income is 60 percent more than Tim's income, and Tim's income is 40 percent less than Juan's income.What percent of Juan's income is Mary's income?
  1. 124%
  2. 120%
  3. 96%
  4. 64%
  5. 80%

A
124%
B
80%
C
120%
D
96%
E
64%
Solution
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Let M be Mary's income, T be Tim's income and J be Juan's income respectively.
Mary's income is 60% more than Tim's.
So, M=T+0.60T=1.60T
Since Tim's income is 40 percent less than Juan's income,
Tim's income equals to 10040=60 percent of Juan's income or T=0.6J.
Substituting 0.6J for T in the first equation, we get
M=1.6(0.6J) or M=0.96J
Thus, Mary's income is 96% of Juan's income.

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