Rahul went to a shop 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?

To find the cost of the tax-free items, we can break the problem down into steps:

### Step 1: Identify the total amount spent on taxable items
Rahul paid Rs. 25 in total, out of which 30 paise (0.30 rupees) was the sales tax. The tax rate on the taxable items was 6%.

Using the formula:
\[
\text{Sales Tax} = \text{Taxable Amount} \times \text{Tax Rate}
\]
We can solve for the taxable amount:
\[
0.30 = \text{Taxable Amount} \times 0.06
\]
\[
\text{Taxable Amount} = \frac{0.30}{0.06} = 5 \text{ rupees}
\]

### Step 2: Calculate the total cost of taxable items
The taxable amount is Rs. 5, and the sales tax on that was Rs. 0.30. So the total cost of the taxable items (taxable amount + tax) is:
\[
\text{Total cost of taxable items} = 5 + 0.30 = 5.30 \text{ rupees}
\]

### Step 3: Calculate the cost of tax-free items
The total amount spent by Rahul was Rs. 25. The cost of taxable items (including tax) was Rs. 5.30. Therefore, the cost of the tax-free items is:
\[
\text{Cost of tax-free items} = 25 - 5.30 = 19.70 \text{ rupees}
\]

Thus, the cost of the tax-free items is **Rs. 19.70**.

Would you like any further details or explanations?

Here are 5 related questions:
1. How do you calculate the taxable amount from the total bill?
2. What would happen if the tax rate was increased to 10%?
3. How would the calculations change if the total spent was Rs. 30?
4. How can you calculate the sales tax if only the total bill and tax-free items' cost are known?
5. Can we calculate the reverse: finding the total bill if only the tax-free items' cost is known?

**Tip:** Always convert paise into rupees before starting calculations, as small units can complicate things.

Rahul went to a shop 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?

Learn how to calculate the cost of tax-free items when given a total purchase amount of Rs. 25, with a 6% sales tax rate applied on Rs. 5 worth of taxable items. This problem covers key concepts in percentages and sales tax calculations, suitable for students in Grades 6-8.

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