What were the gross revenues from ticket sales for a certain

What were the gross revenues from ticket sales for a certain film during the second week in which it was shown?

(1) Gross revenues during the second week were $1.5 million less than during the first week.
(2) Gross revenues during the third week were $2.0 million less than during the first week.

Sol:
Let the revenue during the 2nd week in which it was shown be X. We need to find X


From St 1 we have the Revenue in the first week was which X+1.5
Not sufficient
From St 2 we have the revenue in 3rd week was 2M US$ less. Not sufficient.
We don't know what was the revenue in first week.

Combining we get that
Revenue in 1st week: x +1.5
Revenue in 2nd week: x
and Revenue in 3rd week: x +1.5- 2-----> x- 0.5

Clearly we cannot get the value of x.

Ans E

Ans is (E) since both statements mention revenue of first week, which we do not know.

Basically they want to know what x2*y2 = TR2, where all 2's denote "second week", x denotes tickets sold and y denots price per ticket.

1) uses different variables (x1, y1 and TR1), and only gives us a relation between TR1 and TR2.. Clearly insufficient
2) uses different variables (x3, y3 and TR3), and only gives us a relation between TR1 and TR3, clearly insufficient.

1 + 2, we know absolutely nothing about x2 or y2, we're only given some weak relationships among the revenues for three consecutive weeks.

So the answer is E

Gross revenues during the 1st week ---X

statement 1 :Gross revenues during the 2nd week--------X-1.5
statement 1 :Gross revenues during the 3rd week--------X-2
nothing about X


so 1+2 is conclusive

hence E

let r1, r2, r3 be gross rev for 1st, 2nd, 3rd week respectively
ques -- r3?

1) r2=r1-1.5.. not suff
2) r3=r2-2.. not suff

1)+2) not suff as we dont know r1

Henc E

Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.