Fauziah has rm100. she bought a handbag for her mother and received a balance of rm31.10. the price paid included service tax of 6%. Calculate the original price of handbag.

Let's solve the problem step by step.

1. **Determine the amount spent on the handbag**:
   Fauziah started with RM100 and received a balance of RM31.10.
   \[
   \text{Amount spent on handbag} = 100 - 31.10 = RM68.90
   \]

2. **Calculate the price before service tax**:
   The amount spent on the handbag includes a 6% service tax. Let the original price of the handbag be \( P \).
   The total price including the service tax can be expressed as:
   \[
   P + 0.06P = 1.06P
   \]
   This equals the amount spent, RM68.90:
   \[
   1.06P = 68.90
   \]

3. **Solve for \( P \)**:
   \[
   P = \frac{68.90}{1.06} \approx RM65.00
   \]

So, the original price of the handbag before tax was **RM65.00**.

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

Here are 5 related questions you might be interested in:

1. How would the original price change if the service tax was 10% instead of 6%?
2. What would be the final price if the service tax was not included?
3. If Fauziah had a discount coupon, how would it affect the calculation?
4. How much would the balance be if the handbag was originally RM70 before tax?
5. What is the percentage of her balance relative to the total amount she started with?

**Tip**: Always subtract service tax or VAT before determining the original price of an item.

Learn how to calculate the original price of a handbag after accounting for a 6% service tax. Follow a step-by-step solution to determine the original price based on the amount spent and tax included. Suitable for Grades 6-8.

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