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During a two-week period, the price of an ounce of silver in

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During a two-week period, the price of an ounce of silver in  [#permalink]

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New post 10 Jan 2014, 07:09
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The Official Guide For GMAT® Quantitative Review, 2ND Edition

During a two-week period, the price of an ounce of silver increased by 25 percent by the end of the first week and then decreased by 20 percent of this new price by the end of the second week. If the price of silver was x dollars per ounce at the beginning of the two-week period, what was the price, in dollars per ounce, by the end of the period?

(A) 0.8x
(B) 0.95x
(C) x
(D) 1.05x
(E) 1.25x

Problem Solving
Question: 34
Category: Arithmetic Percents
Page: 66
Difficulty: 600


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Re: During a two-week period, the price of an ounce of silver in  [#permalink]

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New post 10 Jan 2014, 07:09
SOLUTION

During a two-week period, the price of an ounce of silver increased by 25 percent by the end of the first week and then decreased by 20 percent of this new price by the end of the second week. If the price of silver was x dollars per ounce at the beginning of the two-week period, what was the price, in dollars per ounce, by the end of the period?

(A) 0.8x
(B) 0.95x
(C) x
(D) 1.05x
(E) 1.25x

The price by the end of the period = (x*1.25)*0.8 = x.

Answer: C.
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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

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Re: During a two-week period, the price of an ounce of silver in  [#permalink]

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New post 10 Jan 2014, 11:07
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Bunuel wrote:
The Official Guide For GMAT® Quantitative Review, 2ND Edition

During a two-week period, the price of an ounce of silver increased by 25 percent by the end of the first week and then decreased by 20 percent of this new price by the end of the second week. If the price of silver was x dollars per ounce at the beginning of the two-week period, what was the price, in dollars per ounce, by the end of the period?

(A) 0.8x
(B) 0.95x
(C) x
(D) 1.05x
(E) 1.25x



After 25% increase , the value is 1.25 x
after 20% decrease, the value is 1.25 * 0.8 * x = x - option C)
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Re: During a two-week period, the price of an ounce of silver in  [#permalink]

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New post 11 Jan 2014, 06:58
SOLUTION

During a two-week period, the price of an ounce of silver increased by 25 percent by the end of the first week and then decreased by 20 percent of this new price by the end of the second week. If the price of silver was x dollars per ounce at the beginning of the two-week period, what was the price, in dollars per ounce, by the end of the period?

(A) 0.8x
(B) 0.95x
(C) x
(D) 1.05x
(E) 1.25x

The price by the end of the period = (x*1.25)*0.8 = x.

Answer: C.
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

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.


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Re: During a two-week period, the price of an ounce of silver in  [#permalink]

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New post 07 Aug 2014, 02:47
2
Initial Price = x

25% increase\(= \frac{125x}{100}\)

20% decrease\(= \frac{125x}{100} * \frac{80}{100} = x\)

Answer = C
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Re: During a two-week period, the price of an ounce of silver in  [#permalink]

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New post 22 Dec 2016, 20:10
1 Week : (1.25)x
2nd Week : (0.80)(1.25)x
x
C
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Re: During a two-week period, the price of an ounce of silver in  [#permalink]

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New post 22 Feb 2017, 03:55
Alternate approach when two successive rate changes are given:
final change is =25+(-20)+ (25)(-20)/100 =0

Hence, no change in price after two week.
Re: During a two-week period, the price of an ounce of silver in &nbs [#permalink] 22 Feb 2017, 03:55
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