Bunuel wrote:

Metropolitan Concert Hall was half full on Tuesday night. How many seats are in the Hall?

(1) If the number of people in the Hall increased by 20% from Tuesday night to Wednesday night, then the Hall would be 60% full on Wednesday night.

(2) If 20 more people showed up on Tuesday night, that would have increased the number of people in the Hall by 4%.

Kudos for a correct solution.

Statement 1:-

This statement only provides ratios no concrete values. Hence number of seats cannot be determined.

INSUFFICIENT

Statement 2:-

Let x be the number of people who showed up on tuesday.

Then x+20 = 1.04x

or 0.04x=20

or 4x=2000

or x=500

So total seats in the hall will be 2x or 1000

SUFFICIENT

Answer:- B