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Register now and save up to $200 Available with Beat the GMAT members only code • 5 Day FREE Trial Study Smarter, Not Harder Available with Beat the GMAT members only code ## By what percent was the price of a certain television set di tagged by: ceilidh.erickson This topic has 4 expert replies and 0 member replies NandishSS Master | Next Rank: 500 Posts Joined 05 Jun 2015 Posted: 301 messages Followed by: 1 members Upvotes: 3 #### By what percent was the price of a certain television set di 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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### GMAT/MBA Expert

ceilidh.erickson GMAT Instructor
Joined
04 Dec 2012
Posted:
1706 messages
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1443
Wed Mar 15, 2017 6:14 am

_________________

Ceilidh Erickson
Manhattan Prep GMAT & GRE instructor
EdM in Mind, Brain, and Education

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### GMAT/MBA Expert

ceilidh.erickson GMAT Instructor
Joined
04 Dec 2012
Posted:
1706 messages
Followed by:
224 members
1443
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! Thanked by: NandishSS, gmatdestroyer13 Free Manhattan Prep online events - The first class of every online Manhattan Prep course is free. Classes start every week. ### GMAT/MBA Expert ceilidh.erickson GMAT Instructor Joined 04 Dec 2012 Posted: 1706 messages Followed by: 224 members Upvotes: 1443 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! Thanked by: NandishSS, gmatdestroyer13 Free Manhattan Prep online events - The first class of every online Manhattan Prep course is free. Classes start every week. ### GMAT/MBA Expert ceilidh.erickson GMAT Instructor Joined 04 Dec 2012 Posted: 1706 messages Followed by: 224 members Upvotes: 1443 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.

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

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!

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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