Step 1: Calculate the total interest charged by the bank.
Given that the bank charges 6% interest in advance, this is equivalent to a 6% simple discount. We can calculate the total interest charged by the bank using the formula for simple discount:
Simple discount = Principal x Rate x Time
Substitute the given values:
Simple discount = $2,000 x 6% x 5 months
Step 2: Calculate the total amount the bank will receive.
The total amount the bank will receive is the principal amount minus the total interest charged:
Total amount received = Principal - Simple discount
Step 3: Substitute the previously calculated values into the formulas to find the total amount the bank will receive.
Simple discount = 2,000 x 6% x 5 months = 2,000 x 0.06 x 5 = 2,000 x 0.30 = 600
Total amount received = 2,000 - 600 = $1,400
Therefore, the bank will receive \$1,400 .