All of the tickets for 2 music concerts, X and Y, were
either purchased or given away, and the ratio of X tickets
to Y was 2 to 1. Of the total number of X tickets and Y
tickets, what percentage was purchased?
1) The total number of X tickets and Y tickets, is 240.
2) Of the X tickets, exactly 60% were purchased, and of the
Y tickets, exactly 80% were purchased.
a) if statement (1) ALONE is sufficient, but statement
(2) alone is not sufficient to answer the question.
b) if statement (2) ALONE is sufficient, but statement
(1) alone is not sufficient to answer the question.
c) if BOTH statements (1) and (2) TOGETHER are
sufficient to answer the question asked, but NEITHER
statement ALONE is sufficient.
d) if EACH statement ALONE is sufficient to answer the
question asked.
e) if statements (1) and (2) TOGETHER are NOT
sufficient to answer the question asked, and additional data
specific to the problem are needed.
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Answer / kushal
X:Y=2:1
=> X=2Y
Lets consider point 1 alone
X + Y = 240
3Y = 240
Y = 80
Nothing can be concuded further from point 1 alone
Now lets consider point 2 alone
number of X tickets purchased = 60% of X
= 0.6X = 1.2Y (since X=2Y)
number of Y tickets purchased = 80% of Y
= 0.8Y
total tickets purchased = 1.2Y + 0.8Y = 2Y
total number of tickets = X + Y = 2Y + Y = 3Y
% of tickets purchased = (2Y/3Y)*100 = 66.66%
| Is This Answer Correct ? | 6 Yes | 0 No |
Answer / sakshi gupta
X/Y=2/1
SO X=2Y
X+Y=240
SO, 2Y+Y=240
THEREFORE, Y=80 AND X=160
PURCHASED ARE== 60/100X+80/100Y
SO CAN EASILY FIND OUT
SO C) IS THE ANSWER
| Is This Answer Correct ? | 10 Yes | 5 No |
Answer / anurag
Since "what percentage was purchased" is asked it means we obviously need the total number of tickets so PART 1 is needed.
Now, to determine the number of tickets purchased( Both X and Y) we again obviously need PART 2.
Alone no PART can give solution to problem.
So answer is C.
X=2Y
So, 3y=240.
X=80 and Y=160.
Now 0.6 of X is purchased so purchased ticket=96 and
0.8 of Y is purchased so here purchased ticket = 64.
%PURCHASED = (96+64)/240.
| Is This Answer Correct ? | 5 Yes | 3 No |
Answer / aayushi khandelwal
I think b should be answer.
as x:y=2:1 (given)
let x be 200 & y be 100.
now,60% of 200 is 120 and 80% of 100 is 80. Accordingly 200 out of 300 tickets were sold that is 66.67%.In this way 1) is not required .Also if we take x= 2y (x & y be tickets sold of concerts X & Y)
Tickets sold of x concert be 12y/10(60 % of 2y) and of y concert be 8y/10 (80% of y).total tickets sold are 2y out of 3y.It also gives you 66.67%.
| Is This Answer Correct ? | 0 Yes | 0 No |
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