Gauri went to the stationers and bought things worth Rs. 25, out of which 30 paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?

We need to find the cost of tax-free items that Gauri bought. Here’s how we can solve it step by step:

### Step 1: Understanding the Problem
- Gauri bought items worth Rs. 25 in total.
- Out of this, Rs. 0.30 (30 paise) went towards sales tax.
- The sales tax rate was 6%.
- We need to find the cost of the tax-free items.

### Step 2: Breakdown of Purchases
Let:
- \( x \) be the cost of the taxable items.
- The total purchase amount is Rs. 25.

The sales tax on taxable items is 6%. The sales tax amount is Rs. 0.30. Therefore, the cost of taxable items before tax can be calculated using the formula:

\[
\text{Sales tax} = \text{Taxable amount} \times \frac{\text{Tax rate}}{100}
\]

So,

\[
0.30 = x \times \frac{6}{100}
\]

### Step 3: Solving for \( x \)
Now, solve for \( x \):

\[
x = \frac{0.30 \times 100}{6} = 5
\]

So, the cost of taxable items (before tax) is Rs. 5.

### Step 4: Finding the Cost of Tax-Free Items
The total cost of all items is Rs. 25, and the cost of taxable items (before tax) is Rs. 5. Therefore, the cost of tax-free items is:

\[
\text{Cost of tax-free items} = 25 - 5 = 20
\]

### Final Answer:
The cost of the tax-free items is Rs. 20.

Would you like more details on any step or have further questions?

Here are 5 related questions you might find interesting:
1. If the tax rate had been 8%, what would have been the cost of taxable items?
2. What is the total cost including tax if only taxable items were bought?
3. How would the scenario change if the sales tax was Rs. 0.50 instead of Rs. 0.30?
4. How much would Gauri pay in tax if she bought Rs. 100 worth of taxable items at the same tax rate?
5. What is the percentage of tax-free items in the total purchase?

**Tip:** When dealing with percentage problems, always break down the total into its components and use the relevant percentage formula for calculations.

Learn how to calculate the cost of tax-free items after deducting sales tax. Gauri spent Rs. 25 on stationery items, including a 6% sales tax on taxable purchases amounting to Rs. 0.30. Understand the breakdown and find out the cost of tax-free items.

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