Data Sufficiency

Henry purchased 3 items. He received a 20% discount off the price of the most expensive item and a 10% discount off each of the other 2 items. Was the total amount of the 3 discounts greater than 15% of the sum of the total of the 3 discounts?

1) Regular price of the most expensive item was 50$ and 20$ for the next most expensive item.

2) The price of the least expensive item was 15$

kath_the_great4 wrote:Henry purchased 3 items. He received a 20% discount off the price of the most expensive item and a 10% discount off each of the other 2 items. Was the total amount of the 3 discounts greater than 15% of the sum of the total of the 3 discounts?

1) Regular price of the most expensive item was 50$ and 20$ for the next most expensive item.

2) The price of the least expensive item was 15$

So the question is whether the total discounts/total sales > 0.15

1)

50 x 0.2 = $ 10 discount
20 x 0.1 = $ 2 discount
X x 0.1 = $ 0.1x discount

Is (12+0.1X)/(70+x) > 0,15 ?

Well we don't know what the 3rd item costs but since $20 is the next most expensive item, and there is nothing stated that all prices need to be different so we can TEST this with the Maximum cost for 3rd item, which is $20 too

14/90 = 0.15555 so statement (1) is SUF.

Please note that if you try the min price for the 3rd item and use $ 0

you will get 0.171

2)

Does not have any information for the other two items -INSUF

So the correct answer is A

Also keep in mind that this is a famous OPTION C trap

GMAC will try to make you believe that you will need another piece of information but infact you do not! Always keep your eyes open!!

imo A

Thanks, LogitecH