Question

Plan: “MI AUTO PARA TAXI”

El señor Alberto decide adquirir un auto con el fin de realizar servicios de taxi. El precio del vehículo es de S/45 000, pero solo dispone de S/20 000. Entonces decide financiar el dinero que le falta por medio de una entidad bancaria. Si entre los dos planes de préstamo ofrecidos, debe escoger uno:

¿Cuál de las dos opciones le recomendarías al señor Alberto?

Answer 1

Plan II is more favorable because the total amount to pay is less and the time to pay is greater than Plan I.

Explanation:

The question in English is

Plan: "MY AUTO FOR TAXI"

Mr. Alberto decides to buy a car in order to perform taxi services. The price of the vehicle is S/45 000, but only S/20 000 is available. He then decides to finance the missing money through a bank. If between the two loan plans offered, you must choose one:

Which of the two options would you recommend to Mr. Alberto?

we know that

The compound interest formula is equal to

`A=P(1+(r)/(n))^(nt)`

where

A is the total amount due

P is the amount owed

r is the rate of interest in decimal

t is Number of Time Periods

n is the number of times interest is compounded per year

in this problem we have

Plan I

`t=2\ years\\ P=\$45,000-\$20,000=\$25,000\\ r=0.05\\n=1`

substitute in the formula

`A=25,000(1+(0.05)/(1))^(1*2)`

`A=25,000(1.05)^(2)`

`A=\$27,562.50`

Plan II

`t=3\ years\\P=\$45,000-\$20,000=\$25,000\\ r=0.03\\n=1`

`A=25,000(1+(0.03)/(1))^(1*3)`

`A=25,000(1.03)^(3)`

`A=\$27,318.18`

Compare

Plan I ----> t=2 years A=$27,562.50

Plan II----> t=3 years A=$27,318.18

therefore

Plan II is more favorable because the total amount to pay is less and the time to pay is greater than Plan I.