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09 May 2020, 18:52
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E
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Difficulty:
65%
(hard)
Question Stats:
56% (02:22) correct
44%
(01:53)
wrong
based on 124
sessions
History
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Time
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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.
(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.
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
