goodyear2013
Discount Schedule
Days before publication deadline -- Discount
181 or more -- 30%
180 to 91 --- 25%
90 to 46 ---- 15%
45 to 21 ---- 5%
20 or fewer -- 0%
A textbook press offers discounts on orders placed sufficiently prior to a school term's publication deadline. If a school district placed an order that amounted to $180,000 before any discount was applied, how many days before the publication deadline was the order placed?
(1) The school district received a discount of $45,000.
(2) If the district had placed their order one day later, their discount would have been $18,000 less.
Hi, I want to have simple explanation on this, please.
Dear
goodyear2013,
I'm happy to respond. Here's how I would think about this problem. First, because the percents are easy, I will just figure out the discount for each time period.
Total = $180,000
thus, 10% = $18,000
multiply that by 3 --- 30% = $54,000
divide 10% by half --- 5% = $9,000
25% = 30% - 5% = $54,000 - $9,000 = $45,000
15% = 10% + 5% = $18,000 + $9,000 = $27,000
Thus:
181 or more -- 30% = $54,000
180 to 91 --- 25% = $45,000
90 to 46 ---- 15% = $27,000
45 to 21 ---- 5% = $9,000
20 or fewer -- 0%
It should be very easy to come up with all those numbers using purely mental math. Now,
Statement #1: could be anywhere in the 180 to 91 day range.
Not sufficient.
Statement #2: 10% of $180,000 is $18,000, so any place in which the discount drops by 10% would be a possibility --- this could be the (25%) --> (15%) drop, or it could be the (15%) --> (5%) drop. Two possibilities.
Not sufficient.
Combined: must be the day before the (25%) --> (15%) drop, day 91.
Sufficient.
Does this approach make sense?
Mike