Hi All,
Ratios show up on a number of questions on Test Day, so it's important to know your ratio rules (and the various 'formats' that ratios can come in). If you don't immediately see the ratio rules that appear in this question, you can still get to the correct answer by TESTing VALUES.
We're told that Jack and Mark each receive a raise of 6% to their hourly wages. We're asked how much larger Jack's hourly wage is AFTER the increases.
Fact 1: Before the increases, Jack's wage was $5/hour more than Mark's wage
IF....
Jack = $10/hour
Mark = $5/hour
After the raises.....
Jack = 10(1.06) = 10.60
Mark = 5(1.06) = 5.30
So.....Jack's wage is $5.30 more than Mark's
IF....
Jack = $11/hour
Mark = $6/hour
After the raises....
Jack = 11(1.06) = 11.66
Mark = 6(1.06) = 6.36
So....Jack's wage is $5.30 more than Mark's
The result STAYS $5.30 even when the numbers change, so $5.30 is THE difference.
Fact 1 is SUFFICIENT
Fact 2: Before the raises, the ratio of Jack's wage to Mark's wage was 4:3
IF.....
Jack = $4/hour
Mark = $3/hour
After the raises....
Jack = 4(1.06) = 4.24
Mark = 3(1.06) = 3.18
So....Jack's wage is $1.06 more than Mark's
IF....
Jack = $8/hour
Mark = $6/hour
After the raises....
Jack = 8(1.06) = 8.48
Mark = 6(1.06) = 6.36
So....Jack's wage is $2.12 more than Mark's
These two results are DIFFERENT.
Fact 2 is INSUFFICIENT
Final Answer:
GMAT assassins aren't born, they're made,
Rich
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