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Updated on: 07 Mar 2026, 09:19
Originally posted by MartyMurray on 29 Aug 2025, 15:33.
Last edited by MartyMurray on 07 Mar 2026, 09:19, edited 3 times in total.
Last edited by MartyMurray on 07 Mar 2026, 09:19, edited 3 times in total.
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
95%
(hard)
Question Stats:
36% (02:22) correct
64%
(02:18)
wrong
based on 107
sessions
History
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Time
Result
Not Attempted Yet
From the start to the end of the trading day on Monday, the price of a stock increased by x percent. Then, from the start to the end of the trading day on Tuesday, the price decreased by y percent. Was the price greater at the end of the trading day on Tuesday than at the start of the trading day on Monday?
(1) x > y
(2) x = 2y
Source: Marty Murray Coaching
(1) x > y
(2) x = 2y
Source: Marty Murray Coaching
29 Aug 2025, 15:54
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From the start to the end of the trading day on Monday, the price of a stock increased by x percent. Then, from the start to the end of the trading day on Tuesday, the price decreased by y percent. Was the price greater at the end of the trading day on Tuesday than at the start of the trading day on Monday?
(1) x > y
Given this information, x and y could be far apart or close together.
If they are far apart, the percentage increase will be much larger than the percentage decrease. In such cases, the price will be higher at the end of the day Tuesday than it was at the start of the day Monday.
Example: x = 100, y = 1, Starting Price = 100
100 -> 200 -> 198
Yes, greater at the end of the day on Tuesday.
If they are close together, the percentage increase will be similar to the the percentage decrease but the decrease will be from a higher base. So, the percentage decrease will have a greater effect. In such cases, the price will be lower at the end of the day Tuesday than it was at the start of the day Monday.
Example: x = 100, y = 90, Starting Price = 100
100 -> 200 -> 20
No, not greater at the end of the day on Tuesday.
Insufficient.
(2) x = 2y
In this case, we know the relative sizes of x and y, but there are still multiple possible outcomes.
If x < 100, then y < 50, and the price increase will be larger than the price decrease.
Example: x = 40, y = 20, Starting Price = 100
100 -> 140 -> 112
Yes, greater at the end of the day on Tuesday.
If x = 100, then y = 50, and the price increase will be the same as the price decrease.
Example: x = 100, y = 50, Starting Price = 100
100 -> 200 -> 100
No, not greater at the end of the day on Tuesday.
If x > 100, then y > 50, and the price increase will be smaller than the price decrease.
Example: x = 200, y = 100, Starting Price = 100
100 -> 300 -> 0
No, not greater at the end of the day on Tuesday.
Insufficient.
(1) and (2) combined
Statement (2) indicates that statement (1) is also true. So, combining the statements doesn't make any difference.
Insufficient.
Correct answer: E
(1) x > y
Given this information, x and y could be far apart or close together.
If they are far apart, the percentage increase will be much larger than the percentage decrease. In such cases, the price will be higher at the end of the day Tuesday than it was at the start of the day Monday.
Example: x = 100, y = 1, Starting Price = 100
100 -> 200 -> 198
Yes, greater at the end of the day on Tuesday.
If they are close together, the percentage increase will be similar to the the percentage decrease but the decrease will be from a higher base. So, the percentage decrease will have a greater effect. In such cases, the price will be lower at the end of the day Tuesday than it was at the start of the day Monday.
Example: x = 100, y = 90, Starting Price = 100
100 -> 200 -> 20
No, not greater at the end of the day on Tuesday.
Insufficient.
(2) x = 2y
In this case, we know the relative sizes of x and y, but there are still multiple possible outcomes.
If x < 100, then y < 50, and the price increase will be larger than the price decrease.
Example: x = 40, y = 20, Starting Price = 100
100 -> 140 -> 112
Yes, greater at the end of the day on Tuesday.
If x = 100, then y = 50, and the price increase will be the same as the price decrease.
Example: x = 100, y = 50, Starting Price = 100
100 -> 200 -> 100
No, not greater at the end of the day on Tuesday.
If x > 100, then y > 50, and the price increase will be smaller than the price decrease.
Example: x = 200, y = 100, Starting Price = 100
100 -> 300 -> 0
No, not greater at the end of the day on Tuesday.
Insufficient.
(1) and (2) combined
Statement (2) indicates that statement (1) is also true. So, combining the statements doesn't make any difference.
Insufficient.
Correct answer: E
30 Aug 2025, 08:50
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MartyMurray
Let the price at the start be \(p\)
Then end of Monday \(= (\frac{100+x}{100})p\)
End of Tuesday \(=( \frac{100-y}{100})( \frac{100+x}{100})p\)
We need to know whether : \((\frac{100-y}{100}) (\frac{100+x}{100})p> p\)
After simplification question becomes,is \(100(x-y) >xy\)
(1) x > y
\(x=2, y=1\) : Yes
\(x=200, y=100\) : No
INSUFF.
(2) x = 2y
\(x=2, y=1 \): Yes
\(x=200,y=100\) : No
INSUFF.
1+2
\(x=2,y=1\) : Yes
\(x=200,y=100 \): No
INSUFF.
Ans E
Hope it helped.
