The correct answers is: P42,365.45
Workings
The question can be solved using simple mathematical formula
Using formula, Amount = Principal / (1+Interest Rate)^No. of years
At end of year 5
P3000 will become = 3000/(1+12%)^1 = 3000/1.12 = P2,678.57
P45000 will become = 45000/(1+12%)^2 = 45000/1.2544 = P35,873.72
P6000 will become = 6000/(1+12%)^4 = 6000/1.5735 = P3,813.16
Adding the above amounts, Total amount at the end of year 5 = P42,365.45
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