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At the close of the market on Monday, the price of a certain volatile
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22 Jan 2026, 02:52
22 Jan 2026, 02:52
Expert Reply
00:00
Question Stats:
91% (01:12) correct
8% (02:07) wrong based on 12 sessions
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At the close of the market on Monday, the price of a certain volatile stock was exactly $ 100.00 per share. By close of the day on Tuesday, the stock was 20% up from its start that day. By the close of the day on Wednesday, the stock was 10% up from its start that day. By the close of the day on Thursday, the stock was 30 % down from its start that day. What was the price per share by the end of the day on Thursday?
A. $91.00
B. $92.40
C. $100.00
D. $101.07
E. $109.89
A. $91.00
B. $92.40
C. $100.00
D. $101.07
E. $109.89
- Part of the project: GRE Daily Quant Challenge - Topic-Wise 2025!!!
- Also replying to the unanswered questions
Re: At the close of the market on Monday, the price of a certain volatile
[#permalink]
08 Feb 2026, 08:24
08 Feb 2026, 08:24
Expert Reply
1. Track the Price Day by Day
- Monday Close: $100.00
- Tuesday: Up $20 %$ from Monday's close.
$$
\(100 \times 1.20=120.00\)
$$
- Wednesday: Up $10 %$ from Tuesday's close.
$$
\(120 \times 1.10=132.00\)
$$
- Thursday: Down $30 %$ from Wednesday's close.
$$
\(132 \times 0.70=92.40\)
$$
2. The "Multiplier" Shortcut
You can solve this faster in one step by multiplying the original price by the "growth factors" (1 + change) or "decay factors" (1 - change):
$$
\(\begin{aligned}
& \text { Final Price }=100 \times(1.20) \times(1.10) \times(0.70) \\
& \qquad \text { Final Price }=100 \times 1.32 \times 0.70 \\
& \text { Final Price }=132 \times 0.70=92.40
\end{aligned}\)
$$
- Monday Close: $100.00
- Tuesday: Up $20 %$ from Monday's close.
$$
\(100 \times 1.20=120.00\)
$$
- Wednesday: Up $10 %$ from Tuesday's close.
$$
\(120 \times 1.10=132.00\)
$$
- Thursday: Down $30 %$ from Wednesday's close.
$$
\(132 \times 0.70=92.40\)
$$
2. The "Multiplier" Shortcut
You can solve this faster in one step by multiplying the original price by the "growth factors" (1 + change) or "decay factors" (1 - change):
$$
\(\begin{aligned}
& \text { Final Price }=100 \times(1.20) \times(1.10) \times(0.70) \\
& \qquad \text { Final Price }=100 \times 1.32 \times 0.70 \\
& \text { Final Price }=132 \times 0.70=92.40
\end{aligned}\)
$$
gmatclubot
Re: At the close of the market on Monday, the price of a certain volatile [#permalink]
08 Feb 2026, 08:24
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