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The question asks for the interest rate per annum for an investment of Php 30,000 over 3 years, which grows to Php 48,000.

We can use the formula for simple interest or compound interest. Since the problem does not specify, we will assume simple interest.

### Formula for Simple Interest:
\[
A = P(1 + rt)
\]
Where:
- \( A \) is the total amount (Php 48,000)
- \( P \) is the principal (Php 30,000)
- \( r \) is the annual interest rate (unknown)
- \( t \) is the time (3 years)

Rearranging the formula to solve for \( r \):
\[
A = P(1 + rt) \implies 1 + rt = \frac{A}{P} \implies rt = \frac{A}{P} - 1 \implies r = \frac{\frac{A}{P} - 1}{t}
\]

Substituting the known values:
\[
r = \frac{\frac{48,000}{30,000} - 1}{3} = \frac{1.6 - 1}{3} = \frac{0.6}{3} = 0.2
\]

Thus, the interest rate per annum is **20%**.

Would you like more details on this solution, or do you have any questions?

### Related Questions:
1. How would the interest rate change if the time period were 5 years?
2. What would be the total amount after 3 years if the interest rate was 15% instead?
3. How is compound interest calculated, and would it yield a different interest rate in this case?
4. What are the key differences between simple and compound interest in financial calculations?
5. How much interest would you earn in 2 years instead of 3 at this same rate?

### Tip:
When dealing with interest rate calculations, it's essential to know whether the interest is simple or compound, as they can lead to different outcomes. Always clarify if not given in a problem.

What is the interest rate per annum of Php 30,000 for 3 years that accumulates to Php 48,000?

Find out how to calculate the interest rate for a Php 30,000 investment that accumulates to Php 48,000 over 3 years using simple interest formulas. Learn step-by-step how to derive the 20% annual interest rate.

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