Alazar deposited 2000 birr in a bank. After 6 months, he collected 2120 birr. We need to find the rate of simple interest the bank paid per annum.

ArithmeticSimple InterestPercentageFinancial Mathematics
2025/5/19

1. Problem Description

Alazar deposited 2000 birr in a bank. After 6 months, he collected 2120 birr. We need to find the rate of simple interest the bank paid per annum.

2. Solution Steps

Let P be the principal amount, which is 2000 birr.
Let A be the amount after 6 months, which is 2120 birr.
Let I be the simple interest earned in 6 months.
I=AP=21202000=120I = A - P = 2120 - 2000 = 120 birr.
Let r be the annual interest rate.
Let t be the time period in years, which is 6 months or 0.5 years.
The formula for simple interest is:
I=P×r×tI = P \times r \times t
We have 120=2000×r×0.5120 = 2000 \times r \times 0.5
120=1000×r120 = 1000 \times r
r=1201000=0.12r = \frac{120}{1000} = 0.12
To express r as a percentage, we multiply by
1
0

0. $r = 0.12 \times 100 = 12\%$

3. Final Answer

12%

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