madhavsrinivas wrote:

Occupancy rate is defined as the number of units occupied divided by the number of total units. Was the occupancy rate in a certain apartment complex greater than 45% on June 30?

On January 1st, the occupancy rate was 75%.

At the end of each month from February to June, the occupancy rate was 80% of the figure at the end of the preceding month.

Dear

madhavsrinivas,

I'm happy to help.

Statement #1:

On January 1st, the occupancy rate was 75%From this statement, we have no idea how things change from January to June. This statement, alone and by itself, is

insufficient.

Statement #2:

At the end of each month from February to June, the occupancy rate was 80% of the figure at the end of the preceding month.Interesting. We don't know what January is. Suppose January is 100%, the highest possible percent. Then,

end of February = 80%

end of March = 80*0.8 = 64%

end of April = 64*0.8 = 51.2%

end of May = 51.2*0.8 = 40.96%

end of June = 40.96 *0.8 ---- something less than 40%, so definitely less than 45%.

If January is the max percent, with this rule June is below 40%. If January started even lower, then June would be even lower, much lower than 40%.

We can give a definitive answer to the prompt question. This statement, alone and by itself, is

sufficient.

Answer =

(B)Does all this make sense?

Mike

_________________

Mike McGarry

Magoosh Test Prep

Education is not the filling of a pail, but the lighting of a fire. — William Butler Yeats (1865 – 1939)