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09 May 2020, 18:52
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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:
65%
(hard)
Question Stats:
57% (02:21) correct
43%
(01:53)
wrong
based on 127
sessions
History
Date
Time
Result
Not Attempted Yet
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 the original collection.
(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.
(A) Statement 1 alone is sufficient, but statement 2 alone is not.
(B) Statement 2 alone is sufficient, but statement 1 alone is not.
(C) Both statements together are sufficient, but neither alone is sufficient.
(D) Each statement alone is sufficient.
(E) Neither statement is sufficient, even when combined.
(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 the original collection.
(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.
(A) Statement 1 alone is sufficient, but statement 2 alone is not.
(B) Statement 2 alone is sufficient, but statement 1 alone is not.
(C) Both statements together are sufficient, but neither alone is sufficient.
(D) Each statement alone is sufficient.
(E) Neither statement is sufficient, even when combined.
09 May 2020, 18:55
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Official Solution:
Jumbo Circus charges the same admit fee for each person irrespective of age. How many people Visited the Circus?
Let the number of persons = n
admit fee = p
total admit fee collected = np
(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 the original collection.
new admit fee = 20, the new number of person = 2n
total admit fee collected = 20*2n = 40n
now this collection is 3 times the original collection.
So, 40n = 3*np
we cant find n.
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.
new admit fee = 30, the new number of person = 2n/3
total admit fee collected = 30*2n/3 = 20n
now, the new collection is 150% or 1.5 of the original collection.
20n = 1.5*np
we cant find n .
NOT SUFFICIENT.
Even after combining both STatement 1 & 2, we can't find the number of persons.
Hence Answer is E.
Jumbo Circus charges the same admit fee for each person irrespective of age. How many people Visited the Circus?
Total fee charge = charge per person * total no. of person
total no. of person = total fee charge/charge per person
(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.
If Initial fee per person=x and initial person attended = n, Total fee = x/n
If x+20 and no. of people attended = 2n, total fee = 4x, Total fee, 4x/n = x+20/2n
So, n cancelled out and we can get x = 20/3. So, total = 80/3.
Based on above formula , total no. of person = total fee charge/charge per person, we can get unique no. of person. So, 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.
If Initial fee per person=x and initial person attended = n, Total fee = x/n
If x+30, then no. of people attended = 1.66n (5n/3), total fee = 3/2 of x/n , Total fee, (3/2) * (x/n)= x+30 divided by 5n/3
Based on above formula , total no. of person = total fee charge/charge per person, we can get unique no. of person. So, sufficient.
Ans. D
Total fee charge = charge per person * total no. of person
total no. of person = total fee charge/charge per person
(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.
If Initial fee per person=x and initial person attended = n, Total fee = x/n
If x+20 and no. of people attended = 2n, total fee = 4x, Total fee, 4x/n = x+20/2n
So, n cancelled out and we can get x = 20/3. So, total = 80/3.
Based on above formula , total no. of person = total fee charge/charge per person, we can get unique no. of person. So, 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.
If Initial fee per person=x and initial person attended = n, Total fee = x/n
If x+30, then no. of people attended = 1.66n (5n/3), total fee = 3/2 of x/n , Total fee, (3/2) * (x/n)= x+30 divided by 5n/3
Based on above formula , total no. of person = total fee charge/charge per person, we can get unique no. of person. So, sufficient.
Ans. D
