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By what percent was the price of a certain television set di

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NandishSS Master | Next Rank: 500 Posts Default Avatar
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By what percent was the price of a certain television set di

Post Wed Mar 15, 2017 5:54 am
By what percent was the price of a certain television set discounted for a sale?

(1) The price of the television set before it was discounted for the sale was 25 percent greater than the discounted price.
(2) The price of the television set was discounted by $60 for the sale.

Source: OG 16

OA:A

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Post Wed Mar 15, 2017 6:14 am

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Post Wed Mar 15, 2017 6:11 am
To set this up algebraically, assign variables:
x = old price before discount
y = new price after discount

If we want to know the PERCENT CHANGE from the old price to the new price, we can write that as:
(x - y)/x = ?

Simplify that by splitting the fraction:
(x/x) - (y/x) = ?
1 - (y/x) = ?

Since this is DS, we would have sufficient information to answer the question if we knew the value of the ratio y/x.

Target question: y/x = ?

(1) The price of the television set before it was discounted for the sale was 25 percent greater than the discounted price.
Translate:
x = 1.25y
(1/1.25) = y/x
We have a value for the ratio y/x. SUFFICIENT.

(2) The price of the television set was discounted by $60 for the sale.
Translate:
y = x - 60
We have a DIFFERENCE between the two variables, but we can't get a RATIO.
INSUFFICIENT.

The answer is A.

You may start to notice this trend in DS: when a question asks for a PROPORTION (percent, ratio, fraction) and no concrete values are given, another proportion is often sufficient (as in #1). A concrete value alone (as in #2) will not help to answer a proportion question, if not other values are given.

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Ceilidh Erickson
Manhattan Prep GMAT & GRE instructor
EdM in Mind, Brain, and Education
Harvard Graduate School of Education


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Post Wed Mar 15, 2017 6:14 am

_________________


Ceilidh Erickson
Manhattan Prep GMAT & GRE instructor
EdM in Mind, Brain, and Education
Harvard Graduate School of Education


Manhattan Prep instructors all have 99th+ percentile scores and expert teaching experience.
Sign up for a FREE TRIAL, and learn why we have the highest ratings in the GMAT industry!

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Thanked by: NandishSS, gmatdestroyer13
Free Manhattan Prep online events - The first class of every online Manhattan Prep course is free. Classes start every week.
Post Wed Mar 15, 2017 6:11 am
To set this up algebraically, assign variables:
x = old price before discount
y = new price after discount

If we want to know the PERCENT CHANGE from the old price to the new price, we can write that as:
(x - y)/x = ?

Simplify that by splitting the fraction:
(x/x) - (y/x) = ?
1 - (y/x) = ?

Since this is DS, we would have sufficient information to answer the question if we knew the value of the ratio y/x.

Target question: y/x = ?

(1) The price of the television set before it was discounted for the sale was 25 percent greater than the discounted price.
Translate:
x = 1.25y
(1/1.25) = y/x
We have a value for the ratio y/x. SUFFICIENT.

(2) The price of the television set was discounted by $60 for the sale.
Translate:
y = x - 60
We have a DIFFERENCE between the two variables, but we can't get a RATIO.
INSUFFICIENT.

The answer is A.

You may start to notice this trend in DS: when a question asks for a PROPORTION (percent, ratio, fraction) and no concrete values are given, another proportion is often sufficient (as in #1). A concrete value alone (as in #2) will not help to answer a proportion question, if not other values are given.

_________________


Ceilidh Erickson
Manhattan Prep GMAT & GRE instructor
EdM in Mind, Brain, and Education
Harvard Graduate School of Education


Manhattan Prep instructors all have 99th+ percentile scores and expert teaching experience.
Sign up for a FREE TRIAL, and learn why we have the highest ratings in the GMAT industry!

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Thanked by: NandishSS, gmatdestroyer13
Free Manhattan Prep online events - The first class of every online Manhattan Prep course is free. Classes start every week.

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