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16 May 2025, 00:30
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
77% (02:26) correct
23%
(02:08)
wrong
based on 164
sessions
History
Date
Time
Result
Not Attempted Yet
The entry fee in an exhibition was $10. Later this was reduced by 25%, which increased the sale of tickets by 20%. What is the percentage increase in the number of visitors?
A. 54
B. 57
C. 60
D. 66
E. 75
Gentle note to all experts and tutors: Please refrain from replying to this question until the Official Answer (OA) is revealed. Let students attempt to solve it first. You are all welcome to contribute posts after the OA is posted. Thank you all for your cooperation!
A. 54
B. 57
C. 60
D. 66
E. 75
Gentle note to all experts and tutors: Please refrain from replying to this question until the Official Answer (OA) is revealed. Let students attempt to solve it first. You are all welcome to contribute posts after the OA is posted. Thank you all for your cooperation!
16 May 2025, 01:01
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Let’s find the percentage increase in exhibition visitors after a ticket price reduction.
Original: $10, \(V\) visitors, revenue \(S = 10V\).
New: price down 25% to $7.5, Let V visitors become Vx visitors; revenue \(S \cdot 1.2 = 7.5 \cdot V \cdot x\).
Equate revenues:
\((10V)\cdot 1.2 = 7.5 \cdot V \cdot x \implies x = \frac{1.2}{0.75} = 1.6\)
New visitors: \(1.6V\). Percentage increase: \(\frac{1.6V - V}{V} \cdot 100 = 60\%\).
The 60% increase matches option C.
Answer: C
Original: $10, \(V\) visitors, revenue \(S = 10V\).
New: price down 25% to $7.5, Let V visitors become Vx visitors; revenue \(S \cdot 1.2 = 7.5 \cdot V \cdot x\).
Equate revenues:
\((10V)\cdot 1.2 = 7.5 \cdot V \cdot x \implies x = \frac{1.2}{0.75} = 1.6\)
New visitors: \(1.6V\). Percentage increase: \(\frac{1.6V - V}{V} \cdot 100 = 60\%\).
The 60% increase matches option C.
Answer: C
16 May 2025, 05:16
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Let number of visitors be x and increased factor of visitors be n
10x * 6/5 = 7.5 * nx
n = 12/7.5 * 100
n = 160%
Percentage increase therefore is 60%
10x * 6/5 = 7.5 * nx
n = 12/7.5 * 100
n = 160%
Percentage increase therefore is 60%
Bunuel
