Answer:
The original deposited amount in the bank is $3500.
Explanation:
Here. Let us assume the principal amount deposited in bank = $P
The rate of interest = 8%
Total Amount in the bank after time period = $4340
Time Period = 3 yrs
Now, SIMPLE INTEREST 

⇒ SI = 

or Interest = 0.24 P
Now,  AMOUNT = PRINCIPAL + INTEREST
⇒$4340 = P + 0.24 P
or, 4340 = 1.24 P
⇒ P = 1340 / 1.24 = 3500
Hence, the deposited amount in the bank for the duration of 3 years and interest rate 8% is $3500