The principal investment required to get a total amount, principal plus interest, of Rs 227.00 from simple interest at a rate of 6% per year for 0.75 years (9 months) is $1,174.16
Given Data
Final Amount A = Rs 1227
Time = 9 months
Rate = 6%
Principal = ?
Equation:
P = A / (1 + rt)
Calculation:
First, converting R percent to r a decimal
r = R/100 = 6%/100 = 0.06 per year.
Putting time into years for simplicity,
9 months / 12 months/year = 0.75 years
Solving our equation:
P = 1227 / ( 1 + (0.06 × 0.75)) = 1174.1626794258
P = $1,174.16
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