In this case, we'll have to carry out several steps to find the solution.
Step 01:
Data
interest = 15% = 0.15
n = time = 6 years
M = final capital = $200
C = initial capital = ?
Step 02:
M = C (1 + i) ^ n
M = C (1 + i/4) ^ n
200 = C * 1.2472
200 / 1.2472 = C
160.3592 = C
The answer is:
Lola initially deposited the amount of $160.359.