Math Problem Statement
Solution
The question in the image asks:
Maria wants to start a small "sari-sari" store in her barangay. She needs a capital of PHP 15,000 to buy initial stocks of goods. She decides to borrow this amount from a local cooperative that offers a simple interest loan with an annual interest rate of 6%.
If Maria plans to pay back the loan in 2 and a half years, how much will she pay in total at the end of the loan period?
To solve this, we use the simple interest formula:
Where:
- = Interest
- = Principal (PHP 15,000)
- = Annual interest rate (6% or 0.06)
- = Time in years (2.5 years)
Step 1: Calculate the interest.
The total interest Maria will pay is PHP 2,250.
Step 2: Calculate the total amount to be paid.
Total amount :
So, Maria will pay PHP 17,250 at the end of the loan period.
Do you want more details on the calculation or have any other questions?
Here are 5 related questions you can explore:
- What if Maria took a loan for 3 years instead?
- How would the payment change if the interest rate was 8%?
- What if Maria could only afford to pay PHP 16,000 in total? What interest rate would be required?
- How is compound interest different from simple interest in this scenario?
- What if Maria borrowed an additional PHP 5,000 after one year? How much would she pay in total?
Tip: Simple interest is calculated only on the principal amount, making it easier to compute compared to compound interest.
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Math Problem Analysis
Mathematical Concepts
Simple Interest
Basic Algebra
Formulas
Simple Interest Formula: I = P * r * t
Total Amount: A = P + I
Theorems
-
Suitable Grade Level
Grades 6-8
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