Emilio borrows Php 1200 from a bank with 8% simple interest per year. How much will he have to pay back total in 2 years?
Question
Emilio borrows Php 1200 from a bank with 8% simple interest per year. How much will he have to pay back total in 2 years?
Solution
To calculate the total amount Emilio has to pay back, we first need to calculate the interest he owes.
Step 1: Calculate the interest The formula for simple interest is I = PRT, where:
- I is the interest
- P is the principal amount (the initial amount of money)
- R is the rate of interest per period
- T is the time the money is borrowed for
In this case, P = Php 1200, R = 8/100 = 0.08 (we divide by 100 to convert the percentage into a decimal), and T = 2 years.
So, I = PRT = 1200 * 0.08 * 2 = Php 192.
Step 2: Calculate the total amount to be paid back The total amount to be paid back is the sum of the principal amount and the interest. So, the total amount = P + I = Php 1200 + Php 192 = Php 1392.
So, Emilio will have to pay back a total of Php 1392 in 2 years.
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