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04 Jul 2024, 01:30
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
72% (02:16) correct
28%
(02:49)
wrong
based on 175
sessions
History
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A pawn shop purchased a bracelet for $120 and listed it for $210. However, the bracelet was sold at a discount of x percent off the listed price. If the shop made a profit of 2x percent on the cost price, what is the value of x?
A. 15
B. 20
C. 25
D. 30
E. 40
A. 15
B. 20
C. 25
D. 30
E. 40
03 Aug 2024, 06:45
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Official Solution:
A pawn shop purchased a bracelet for $120 and listed it for $210. However, the bracelet was sold at a discount of \(x\) percent off the listed price. If the shop made a profit of \(2x\) percent on the cost price, what is the value of \(x\)?
A. 15
B. 20
C. 25
D. 30
E. 40
Given that the bracelet was sold at a discount of \(x\) percent off the listed price, the actual selling price was \(210(1 - \frac{x}{100})\).
Given that the shop made a profit of \(2x\) percent on the cost price, the relationship can be represented as \(120(1 + \frac{2x}{100}) = 210(1 - \frac{x}{100})\):
\(4(\frac{100+2x}{100})=7(\frac{100 - x}{100})\)
\(4(100+2x)=7(100 - x)\)
\(400+8x=700 - 7x\)
\(15x=300\)
\(x=20\)
Answer: B
A pawn shop purchased a bracelet for $120 and listed it for $210. However, the bracelet was sold at a discount of \(x\) percent off the listed price. If the shop made a profit of \(2x\) percent on the cost price, what is the value of \(x\)?
A. 15
B. 20
C. 25
D. 30
E. 40
Given that the bracelet was sold at a discount of \(x\) percent off the listed price, the actual selling price was \(210(1 - \frac{x}{100})\).
Given that the shop made a profit of \(2x\) percent on the cost price, the relationship can be represented as \(120(1 + \frac{2x}{100}) = 210(1 - \frac{x}{100})\):
\(4(\frac{100+2x}{100})=7(\frac{100 - x}{100})\)
\(4(100+2x)=7(100 - x)\)
\(400+8x=700 - 7x\)
\(15x=300\)
\(x=20\)
Answer: B
General Discussion
04 Jul 2024, 02:23
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210 (1 - x/100) = 120 + (2x*120/100)
210 - 2.1x = 120 + 2.4x
90 = 4.5x
x = 20
Answer B.
210 - 2.1x = 120 + 2.4x
90 = 4.5x
x = 20
Answer B.
