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 Posted / 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 |
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