Hi All,
We're told that Paul sells encyclopedias door-to-door. He earns $160 on every paycheck, regardless of how many sets he sells and a commission as follows:
10% on the first $10,000.00 and 5% for any additional sales beyond that.
His largest paycheck of the year was $1,320. We're asked for his sales for that pay period. This question can be approached in a couple of different ways. Based on the given answer choices, we can take advantage of a couple of built-in patterns and avoid some of the extra 'math steps.'
To start, we can see that all of the answers are ABOVE $10,000, so we know that part of his commissions was 10% of $10,000 = $1,000. Paul received $160 on top of that piece of his commission, so we have accounted for $1,160. Now, we just have to account for the extra $1320 - $1160 = $160 he earned...
That extra commission was based on 5% of the sales ABOVE $10,000.
5% of $1,000 = $50
$160 is a little more than (3)($50), so the extra sales had to be a little more than (3)($1000). Thus, his total sales for that period were a LITTLE MORE than $10,000 + $3000 = $13,000...
Final Answer:
GMAT assassins aren't born, they're made,
Rich