SAT Problem Help =\

Discus: SAT/ACT Tests and Test Preparation: June 2004 Archive: SAT Problem Help =\
 By Ericlu87 (Ericlu87) on Saturday, June 19, 2004 - 02:44 pm: Edit

Okay its one of those problems where you choose if column a is beter or if column b is bigger etc. etc. and i got stuck on one problem i know im an idiot...

A \$100 coat was bought on sale for \$85

(A.)The percent reduction on the price of the coat for sale.

(B.) A percent reduction of 85%

It says the answer is C for some reason why?!

 By Smartgirl (Smartgirl) on Saturday, June 19, 2004 - 02:48 pm: Edit

Because the cost was first \$100 but was then on the sale for \$85. So 85 out of 100 equals 85% in which is true in both columns. You are NOT an idiot.

 By Ericlu87 (Ericlu87) on Saturday, June 19, 2004 - 02:55 pm: Edit

ohh now i see it, dammit i should have had that one..!!

 By Smartgirl (Smartgirl) on Saturday, June 19, 2004 - 02:58 pm: Edit

how does this problem affect your SAT score? just curious.

 By Xiggi (Xiggi) on Saturday, June 19, 2004 - 03:10 pm: Edit

Humm?

Apply a percent increase of 85% to an item costing \$100?

Reduction is the exact opposite of increase. How different is the answer from your suggested solution?

PS A percent reduction of 85% is represented by ... 1 - 85%(1).

 By Smartgirl (Smartgirl) on Saturday, June 19, 2004 - 03:16 pm: Edit

I am not expert and I might be wrong. But I think it is very different because it increases instead of decreasing. So you might have to multiply 100 by .85, and you would get something like 85 (i think). Then you add 100 + 85, which equals \$185. Again, I am not sure.

 By Smartgirl (Smartgirl) on Saturday, June 19, 2004 - 03:19 pm: Edit

Sorry...I thought Xigg was asking a different question than Ericlu so I answered. Again sorry

 By Joshjmgs (Joshjmgs) on Saturday, June 19, 2004 - 04:24 pm: Edit

For the increase, you start with 100% of the original price, so an 85% increase, would mean the new price is 185% of the original price.
So if its 100:
100*185% = 185

 By Xiggi (Xiggi) on Saturday, June 19, 2004 - 06:34 pm: Edit

Smartgirl, no need to be sorry! The best way to learn is to post on this board and eliminate confusion (if possible)

I posted the example of increasing to illustrate the error in the OP answer.

If you increase a number by 85%, in this case from 100, you do obtain 185. You were correct on that one. However, look at the original question ... if you have a reduction of 85% from the original 100, you need to reduce the original by the same number used to increase. It this case, the answer is 100 minus 85 and it leaves 15.

 By Aim78 (Aim78) on Saturday, June 19, 2004 - 06:49 pm: Edit

A is 15 because a 15% reduction of \$100 is \$85
B is 15 because an 85% reduction of \$100 is \$15

One is % and the other is \$, but the number value (15) is still the same.

 By Whtx (Whtx) on Saturday, June 19, 2004 - 08:11 pm: Edit

what the hell does "A percent reduction of 85%" mean? If i got this on the exam, i'd be screwed.

does anyone else this A percent reduction of 85% is poorly worded?

 By Xiggi (Xiggi) on Saturday, June 19, 2004 - 08:19 pm: Edit

A is 15 because a 15% reduction of \$100 is \$85
B is 15 because an 85% reduction of \$100 is \$15

One is % and the other is \$, but the number value (15) is still the same.

Aim78, are you so sure that ... an 85% reduction of \$100 is \$15 ?

This is how the question is answered:

A \$100 coat was bought on sale for \$85

(A.)The percent reduction on the price of the coat for sale. 15 PERCENT is the answer

(B.) A percent reduction of 85% 85 PERCENT is the answer

15<85

I hope this helps!

 By Wrathofgod64 (Wrathofgod64) on Saturday, June 19, 2004 - 10:17 pm: Edit

 By Titanz05 (Titanz05) on Saturday, June 19, 2004 - 10:34 pm: Edit

Yea then it would be B, not C.
The weird thing is, this problem is number one.
(I also missed this one)

 By Xiggi (Xiggi) on Sunday, June 20, 2004 - 12:37 am: Edit

Okies ... let me assure you that the answer is most definitely

B

A percent reduction of 85% is BIGGER than a percent reduction of 15%. The unit you are comparing is "percent reduction".

 By Madd87 (Madd87) on Sunday, June 20, 2004 - 04:45 am: Edit

I'm sure he made a typo Xiggi.

Choices I think should be
A) The percent reduction on the price of the coat for sale.
B) The price after a total percent reduction of 85%

In which case both are 15, and answer is C.

 By Xiggi (Xiggi) on Sunday, June 20, 2004 - 03:22 pm: Edit

/sigh

The question is from the 10 RS and was typed correctly. The question is pretty straightforward and C is the trick answer or Joe Bloggs answer.

 By Madd87 (Madd87) on Monday, June 21, 2004 - 07:13 pm: Edit

"It says the answer is C"

You are over thinking it.

 By Xiggi (Xiggi) on Monday, June 21, 2004 - 07:33 pm: Edit

1. I'm sure he made a typo Xiggi.
2. In which case both are 15, and answer is C.
3.You are over thinking it."

/double sigh

The original poster made a mistake when checking the answer key. The correct answer is B. Plain and simple!

If overthinking yields the correct answer, you ought to try it sometimes!

PS Go to pages 301 and 313 of your 10RS book and read the question and answer.

 By Aim78 (Aim78) on Monday, June 21, 2004 - 07:39 pm: Edit

Yep, Xiggi is most definitely right. That's how I would have approached the problem if I wasn't trying to justify why the answer was C. The units should always match - 15% does not equal \$15.