Source : Sandeep Gupta – Director, Ivy-GMAT
This Q is taken from the source above but the answer is not clear.
Q Jack and Mark both received hourly wage increases of 6 percent. After the increases, Jack' hourly wage was
how many dollars per hour more than Mark's?
(1) Before the wage increases, Jack's hourly wage is $5 per hour more than Mark's
(2) Before the wage increases, the ratio of the Jack's hourly wage to Mark's hourly wage is 4 to 3.
PArt (1) Since the question asks only the difference between 2 qty which has undergone similar percent increase, the difference between the two will also undergo same percent increase. so the answer is 5 * 1.06 . SUFFICIENT
Part (2) the ratio b/w 2 qty will remain the same if the 2 qty will have similar percent change. However knowing the ratio will not help us in calculating the difference. so is INSUFFICIENT
Pl Confirm assumptions used in both parts.
Yes, your logic is correct.Jack and Mark both received hourly wage increases of 6 percent. After the increases, Jack' hourly wage was how many dollars per hour more than Mark's?
(1) Before the wage increases, Jack's hourly wage is $5 per hour more than Mark's --> no need for algebra here: as wages increase by 6% then the difference between them also increases by the same 6% --> new difference 5*1.06. Sufficient.
(2) Before the wage increases, the ratio of the Jack's hourly wage to Mark's hourly wage is 4 to 3 --> just ratio is not enough to get the value of new difference, as for different hourly wages we'll get different result: bigger the wages the bigger the difference will be. Not sufficient.
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