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m25 #6

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GMAT 1: 720 Q49 V40
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m25 #6 [#permalink] New post 04 Jan 2011, 11:29
I got this problem correct during the test by plugging in values and testing. I would like to learn the algebra. Please advise. Thanks.


Gold depreciated at a rate of X% per year between 2000 and 2005. If 1 kg of gold cost S dollars in 2001 and T dollars in 2003, how much did it cost in 2002?

a. T\frac {S}{2}
b. T\sqrt{\frac{T}{S}}
c. T\sqrt{S}
d. T\frac{S}{\sqrt {T}}
e. \sqrt{ST}
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Re: m25 #6 [#permalink] New post 04 Jan 2011, 12:13
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Expert's post
tonebeeze wrote:
I got this problem correct during the test by plugging in values and testing. I would like to learn the algebra. Please advise. Thanks.


Gold depreciated at a rate of X% per year between 2000 and 2005. If 1 kg of gold cost S dollars in 2001 and T dollars in 2003, how much did it cost in 2002?

a. T\frac {S}{2}
b. T\sqrt{\frac{T}{S}}
c. T\sqrt{S}
d. T\frac{S}{\sqrt {T}}
e. \sqrt{ST}


Price of 1kg gold in 2001 - S;
Price of 1kg gold in 2002 - S(1-\frac{x}{100});
Price of 1kg gold in 2003 - S(1-\frac{x}{100})^2=T --> (1-\frac{x}{100})=\sqrt{\frac{T}{S}};

Price of 1kg gold in 2002 - S(1-\frac{x}{100})=S*\sqrt{\frac{T}{S}}=\sqrt{ST}.

Answer: E.
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COLLECTION OF QUESTIONS:
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Re: m25 #6 [#permalink] New post 29 Jun 2013, 02:56
Bunuel wrote:
tonebeeze wrote:
I got this problem correct during the test by plugging in values and testing. I would like to learn the algebra. Please advise. Thanks.


Gold depreciated at a rate of X% per year between 2000 and 2005. If 1 kg of gold cost S dollars in 2001 and T dollars in 2003, how much did it cost in 2002?

a. T\frac {S}{2}
b. T\sqrt{\frac{T}{S}}
c. T\sqrt{S}
d. T\frac{S}{\sqrt {T}}
e. \sqrt{ST}


Price of 1kg gold in 2001 - S;
Price of 1kg gold in 2002 - S(1-\frac{x}{100});
Price of 1kg gold in 2003 - S(1-\frac{x}{100})^2=T --> (1-\frac{x}{100})=\sqrt{\frac{T}{S}};

Price of 1kg gold in 2002 - S(1-\frac{x}{100})=S*\sqrt{\frac{T}{S}}=\sqrt{ST}.

Answer: E.

Thank you for posting and including into GMAT Club free test.
I find the phrasing of the question obscure: all three parameters (i.e. S, T and X%) are included as known parameters.
But then the question asks to express 2002 value in terms of S and T (and not X%) which only becomes clear when you look at the answers.
I suggest the following rephrasing: "how much did it cost in 2002 in terms of S and T?"
Expert Post
Math Expert
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Joined: 02 Sep 2009
Posts: 23408
Followers: 3611

Kudos [?]: 28885 [0], given: 2860

Re: m25 #6 [#permalink] New post 29 Jun 2013, 03:01
Expert's post
NikRu wrote:
Bunuel wrote:
tonebeeze wrote:
I got this problem correct during the test by plugging in values and testing. I would like to learn the algebra. Please advise. Thanks.


Gold depreciated at a rate of X% per year between 2000 and 2005. If 1 kg of gold cost S dollars in 2001 and T dollars in 2003, how much did it cost in 2002?

a. T\frac {S}{2}
b. T\sqrt{\frac{T}{S}}
c. T\sqrt{S}
d. T\frac{S}{\sqrt {T}}
e. \sqrt{ST}


Price of 1kg gold in 2001 - S;
Price of 1kg gold in 2002 - S(1-\frac{x}{100});
Price of 1kg gold in 2003 - S(1-\frac{x}{100})^2=T --> (1-\frac{x}{100})=\sqrt{\frac{T}{S}};

Price of 1kg gold in 2002 - S(1-\frac{x}{100})=S*\sqrt{\frac{T}{S}}=\sqrt{ST}.

Answer: E.

Thank you for posting and including into GMAT Club free test.
I find the phrasing of the question obscure: all three parameters (i.e. S, T and X%) are included as known parameters.
But then the question asks to express 2002 value in terms of S and T (and not X%) which only becomes clear when you look at the answers.
I suggest the following rephrasing: "how much did it cost in 2002 in terms of S and T?"


Thank you for the suggestion.
_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
25 extra-hard Quant Tests

Get the best GMAT Prep Resources with GMAT Club Premium Membership

Expert Post
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 23408
Followers: 3611

Kudos [?]: 28885 [0], given: 2860

Re: m25 #6 [#permalink] New post 29 Jun 2013, 03:11
Expert's post
NikRu wrote:
Bunuel wrote:
tonebeeze wrote:
I got this problem correct during the test by plugging in values and testing. I would like to learn the algebra. Please advise. Thanks.


Gold depreciated at a rate of X% per year between 2000 and 2005. If 1 kg of gold cost S dollars in 2001 and T dollars in 2003, how much did it cost in 2002?

a. T\frac {S}{2}
b. T\sqrt{\frac{T}{S}}
c. T\sqrt{S}
d. T\frac{S}{\sqrt {T}}
e. \sqrt{ST}


Price of 1kg gold in 2001 - S;
Price of 1kg gold in 2002 - S(1-\frac{x}{100});
Price of 1kg gold in 2003 - S(1-\frac{x}{100})^2=T --> (1-\frac{x}{100})=\sqrt{\frac{T}{S}};

Price of 1kg gold in 2002 - S(1-\frac{x}{100})=S*\sqrt{\frac{T}{S}}=\sqrt{ST}.

Answer: E.

Thank you for posting and including into GMAT Club free test.
I find the phrasing of the question obscure: all three parameters (i.e. S, T and X%) are included as known parameters.
But then the question asks to express 2002 value in terms of S and T (and not X%) which only becomes clear when you look at the answers.
I suggest the following rephrasing: "how much did it cost in 2002 in terms of S and T?"


Done. Edited. Thank you again.
_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
25 extra-hard Quant Tests

Get the best GMAT Prep Resources with GMAT Club Premium Membership

Re: m25 #6   [#permalink] 29 Jun 2013, 03:11
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