that tenant Jones moved out of the apartment on June 7, after paying a full month's rent on June 1 and giving a legal 30-day notice expiring on June 30.

Question

Tenant Smith took possession of the same apartment on June 16. You know by law that you can't charge rent on an apartment to two residents at the same time. The rent on the apartment is $900. (Assume pro-rate rents are based upon a 30-day month)
The manager collected all of June's rent on June 1 from Jones. How much rent will tenant Jones receive as a refund once tenant Smith moves in?

Answer 1

To determine how much rent tenant Jones will receive as a refund, we first need to understand the rental timeline and the applicable charges:

1. Tenant Jones paid a full month's rent of $900 on June 1.
2. Tenant Jones officially moved out on June 7.
3. Tenant Smith took possession of the apartment on June 16.

Since tenant Jones is entitled to a refund for the days he did not occupy the apartment after moving out, we need to calculate the amount of rent attributable to those days.

From June 1 to June 7, tenant Jones occupied the apartment for 7 days. The rent for each day can be calculated by dividing the monthly rent by the number of days in the month:

\[ \text{Daily Rent} = \frac{900}{30} = 30 \text{ (dollars per day)} \]

Now, let's determine how many days tenant Jones paid for but did not occupy the apartment:

• June 1 to June 7: Jones was in the apartment - 7 days occupied.
• June 8 to June 30: These are the days that tenant Jones did not occupy the apartment - 23 days not occupied.

Now, we can calculate the total rent that corresponds to those 23 days:

\[ \text{Refund Amount} = \text{Daily Rent} \times \text{Days Not Occupied} \] \[ \text{Refund Amount} = 30 \times 23 = 690 \]

Therefore, once tenant Smith moves in, tenant Jones will receive a refund of $690.