A loan of P5,000 is made for a period of 15 months, at a simple interest rate of 15%, what future amount is due at the end of the loan period? A. 5,937.50 B. 5,873.20 C. 5,712.40 D. 5,690.12

The correct answer is A. 5,937.50.

The formula for simple interest is $I = PRT$, where $I$ is the interest, $P$ is the principal, $R$ is the interest rate, and $T$ is the time in

years. In this case, $P = 5000$, $R = 15\%$, and $T = \frac{15}{12} = \frac{5}{4}$ years. Substituting these values into the formula, we get $I = (5000)(15\%)(\frac{5}{4}) = 1875$. Therefore, the total amount due at the end of the loan period is $P + I = 5000 + 1875 = 5937.50$.

Option B is incorrect because it is the amount due if the interest rate were 10%. Option C is incorrect because it is the amount due if the interest rate were 20%. Option D is incorrect because it is the amount due if the loan were for 1 year.