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state1: not sufficient
20*2p=3fp+fp
f=10,no information about p=population
state2; not sufficient
30*2/3p=fp*1.5
f=20/1.5 no information about p as p can not be zero
1+2 not sufficient
Answer E
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Let f be the original fee charged per person and x be the number of people attending. Total revenue= fx
1) 20* 2x= 3*f*x
We can find f but not enough information for x.
2) 30* 2/3 * x= 1.5*f*x
We can find f but not enough information for x.
1&2) Still not enough information to find x.
Answer: E
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target to determine total people attendance at circus

let price of ticket = x and total person be y ;

#1
If the admit fee had been raised to $20 and twice as many people had attended, the total admit fees collected would have been three times greater.

20*2*y = 3xy
40y=3xy
x=40/3 ; insufficient

#2 If the admit fee had been raised to $30 and two-thirds as many people had attended, the total admit fees collected would have been 150% of the actual admit fees collected.
30*2/3 *y = 150/100 * x*y
x = 40/3 insufficient
from1 &2
no info can be determined
OPTION E

Jumbo Circus charges the same admit fee for each person irrespective of age. How many people Visited the Circus?

(1) If the admit fee had been raised to $20 and twice as many people had attended, the total admit fees collected would have been three times greater.

(2) If the admit fee had been raised to $30 and two-thirds as many people had attended, the total admit fees collected would have been 150% of the actual admit fees collected.
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Given: Jumbo Circus charges the same admit fee for each person irrespective of age.
Asked: How many people Visited the Circus?

Let Jumbo Circus charge $x admit fees and people attended by p.

(1) If the admit fee had been raised to $20 and twice as many people had attended, the total admit fees collected would have been three times greater.
20*2p = 3xp
x = $40/3; Since \(p \neq 0\)
p can not be determined.
NOT SUFFICIENT

(2) If the admit fee had been raised to $30 and two-thirds as many people had attended, the total admit fees collected would have been 150% of the actual admit fees collected.
30*2p/3 = 1.5xp
20p = 1.5xp
x = $40/3
p can not be determined.
NOT SUFFICIENT

(1) + (2)
(1) If the admit fee had been raised to $20 and twice as many people had attended, the total admit fees collected would have been three times greater.
20*2p = 3xp
x = $40/3; Since \(p \neq 0\); Since \(p \neq 0\)
(2) If the admit fee had been raised to $30 and two-thirds as many people had attended, the total admit fees collected would have been 150% of the actual admit fees collected.
30*2p/3 = 1.5xp
20p = 1.5xp
x = $40/3
p can not be uniquely determined.
NOT SUFFICIENT

IMO E
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Answer is D.

Statement 1 is sufficient to answer the question.
Statement 2 is sufficient to answer the question.
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- Admit fee per person = a
- Number of people visiting the circus = n
Actual total admit fee = a.n

Q. n?

(1) If the admit fee had been raised to $20 and twice as many people had attended, the total admit fees collected would have been three times greater.
3*a.n = $20.(2n)
3*a = 40
a = $40/3
We know the admit fee per person, but we cannot deduce the number of people who visited the circus
NOT SUFFICIENT

(2) If the admit fee had been raised to $30 and two-thirds as many people had attended, the total admit fees collected would have been 150% of the actual admit fees collected.
1.5*a.n = $30.(2n/3)
1.5*a = 20
a = $20/1.5 = $40/3
We know the admit fee per person, but we cannot deduce the number of people who visited the circus
NOT SUFFICIENT

Combined
From both information, we know the admit fee per person. However, we still cannot deduce the number of people who visited the circus
NOT SUFFICIENT

FINAL ANSWER IS (E)

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Let a be the price of a ticket and x be the number of people visited.

Total price = a*x

i) 20*2x = 3*a*x => a = 40/3. Though we can not find x.

ii) 30*2x/3 = 1.5*ax => a=40/3. Again insufficient to find x.

Combining, Insufficient to find x.

Answer - E
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