Let's suppose the initial amount of debt is $100
Now it is to be increased by 135% i.e. by $135
The amount of loan after increase shall be $235 ($100 + $135)
A = P * ( 1 + rt )
where A = amount after the increase
P = initial amount
r = rate per annum
t = no. of years
$235 = $100 * (1 + (27% * t))
1 + (27% * t) = $235 / $100
1 + (27% * t) = 2.35
27% * t = 2.35 - 1
27% * t = 1.35
t = 1.35 / 27%
t (no of years) = 5 years
time in weeks = 5 * 52
time in weeks = 260 weeks
Therefore, it would take 260 weeks to increase the debt of a simple discount loan by 135% is the annual simple discount rate is 27%
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