A saving bank offers a credit of $$10.000$$ € at $$2,5\%$$ per year to be given back in $$10$$ years, while a bank offers the same quantity at $$3\%$$ and for a period of $$8$$ years. Which is the most profitable option?
Development:
Leaving aside the difference in the monthly payments that it will be necessary to pay, the most profitable option will take into account the one that makes the client pay the least interest.
The option of the saving bank generates an interest of: $$$I_C=10.000\cdot 0,025\cdot 10=2.500€$$$
While the alternative the bank offers ivolves a quantity of interest of: $$$I_B=10.000\cdot 0,03\cdot 8=2.400€$$$
So, although the interest is half point higher, the client who chooses the bank will have paid $$12.400$$ € after $$8$$ years, $$100$$ € less than he would have paid if he had chosen the saving bank after $$10$$ years.
Solution:
The bank's option.