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Re: Over a three-week period, the price of an ounce of gold increased by [#permalink]
Bunuel wrote:
Over a three-week period, the price of an ounce of gold increased by 25% in the first week, decreased by 20% in the following week, and increased by 5% in the third week. If the price of gold was G dollars per ounce at the beginning of the three weeks, what was the price, in terms of G, at the end of the three weeks?

A. 0.95G
B. G
C. 1.05G
D. 1.1G
E. 1.15G


X = G * 5/4 * 8/10 * 105/100 = 105G/100 = 1.05G Answer is C
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Over a three-week period, the price of an ounce of gold increased by [#permalink]
Expert Reply
Bunuel wrote:
Over a three-week period, the price of an ounce of gold increased by 25% in the first week, decreased by 20% in the following week, and increased by 5% in the third week. If the price of gold was G dollars per ounce at the beginning of the three weeks, what was the price, in terms of G, at the end of the three weeks?

A. 0.95G
B. G
C. 1.05G
D. 1.1G
E. 1.15G


Check: https://anaprep.com/arithmetic-successi ... e-changes/

Originally posted by KarishmaB on 04 Jan 2017, 06:26.
Last edited by KarishmaB on 09 Aug 2023, 03:56, edited 2 times in total.
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Re: Over a three-week period, the price of an ounce of gold increased by [#permalink]
Expert Reply
Bunuel wrote:
Over a three-week period, the price of an ounce of gold increased by 25% in the first week, decreased by 20% in the following week, and increased by 5% in the third week. If the price of gold was G dollars per ounce at the beginning of the three weeks, what was the price, in terms of G, at the end of the three weeks?

A. 0.95G
B. G
C. 1.05G
D. 1.1G
E. 1.15G


We are given that the price of gold, which was priced at G dollars, increased by 25%, then decreased by 20%, and then increased by 5%. We need to determine the new price, in terms of G, after those changes. To determine the final price, we can create the following expression:

G(1.25)(0.8)(1.05)

Converting the decimals to fractions, we have:

G(5/4)(4/5)(21/20)

G(21/20) = 1.05G

Answer: C
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Re: Over a three-week period, the price of an ounce of gold increased by [#permalink]
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Re: Over a three-week period, the price of an ounce of gold increased by [#permalink]
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