Interest Commission Vat
1. **Problem 1:** How much interest will ₱26,700 earn at 3% interest per annum for 4 years?
2. **Given:**
- Principal $P = 26700$
- Rate $r = 3\% = 0.03$
- Time $t = 4$ years
3. **Formula for simple interest:**
$$ I = P \times r \times t $$
4. **Calculate interest:**
$$ I = 26700 \times 0.03 \times 4 = 26700 \times 0.12 = 3204 $$
5. **Answer:** The interest earned is ₱3204.
6. **Problem 2:** How much commission will Joy receive for booking services worth ₱55,000 at 8.5% commission rate?
7. **Given:**
- Total amount $A = 55000$
- Commission rate $c = 8.5\% = 0.085$
8. **Calculate commission:**
$$ \text{Commission} = A \times c = 55000 \times 0.085 = 4675 $$
9. **Answer:** Joy's commission is ₱4675.
10. **Problem 3:** Clarisse buys food worth ₱855 plus 12% VAT. How much did she pay total?
11. **Given:**
- Price without tax $P = 855$
- VAT rate $v = 12\% = 0.12$
12. **Calculate tax:**
$$ \text{Tax} = P \times v = 855 \times 0.12 = 102.6 $$
13. **Calculate total amount:**
$$ \text{Total} = P + \text{Tax} = 855 + 102.6 = 957.6 $$
14. **Answer:** Clarisse paid ₱957.6 in total.