Question Kremena took out a $$ \$ 500 $$ discounted loan for a period of 3 months. The amount she actually received into her bank accoun was $$ \$ 460 $$. Assuming simple interest rates, what is effective interest rate $$ r_{e} $$ ? Give your answer as a percentage to the nearest percent.

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To find the effective interest rate $$ r_{e} $$ for Kremena's loan, we can use the formula for simple interest:

$$
I = P \cdot r \cdot t
$$

Where:
- $$ I $$ is the interest paid,
- $$ P $$ is the principal amount (the amount of the loan),
- $$ r $$ is the interest rate (as a decimal),
- $$ t $$ is the time in years.

### Step 1: Identify the known values
- The principal amount $$ P = 500 $$ (the total loan amount).
- The amount received $$ A = 460 $$ (the amount deposited into her account).
- The time $$ t = \frac{3}{12} = 0.25 $$ years (3 months).

### Step 2: Calculate the interest paid
The interest paid $$ I $$ can be calculated as the difference between the principal and the amount received:

$$
I = P - A = 500 - 460 = 40
$$

### Step 3: Rearrange the simple interest formula to find $$ r $$
We can rearrange the formula to solve for $$ r $$:

$$
r = \frac{I}{P \cdot t}
$$

### Step 4: Substitute the known values into the formula
Now we can substitute the values we have into the rearranged formula:

$$
r = \frac{40}{500 \cdot 0.25}
$$

### Step 5: Calculate $$ r $$
Let's calculate $$ r $$:

$$
r = \frac{40}{125} = 0.32
$$

### Step 6: Convert $$ r $$ to a percentage
To express $$ r $$ as a percentage, we multiply by 100:

$$
r_{e} = 0.32 \times 100 = 32\%
$$

Thus, the effective interest rate $$ r_{e} $$ is $$ \boxed{32\%} $$.
The effective interest rate $$ r_{e} $$ is 32%.

Question
Kremena took out a discounted loan for a period of 3 months. The amount she actually received into her bank accoun
was . Assuming simple interest rates, what is effective interest rate ?
Give your answer as a percentage to the nearest percent.

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Question Kremena took out a discounted loan for a period of 3 months. The amount she actually received into her bank accoun was . Assuming simple interest rates, what is effective interest rate ? Give your answer as a percentage to the nearest percent.