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?

Gauri bought things worth Rs. 25 from the stationers, and out of this amount, 30 paise (Rs. 0.30) was paid as sales tax on taxable purchases. The sales tax rate was 6%. To find the cost of the tax-free items, follow these steps:

1. Let the cost of taxable items (before tax) be xxx.
2. Since the sales tax rate is 6%, the sales tax on taxable purchases is 0.06×x0.06\times x0.06×x.
3. Given that sales tax paid is Rs. 0.30, set up the equation:

0.06x=0.300.06x=0.300.06x=0.30

4. Solve for xxx:

x=0.300.06=5x=\frac{0.30}{0.06}=5x=0.060.30​=5

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

5. The total amount spent is Rs. 25, which includes taxable items (Rs. 5), tax on these items (Rs. 0.30), and tax-free items.
6. The cost of tax-free items is:

25−(5+0.30)=25−5.30=19.7025-(5+0.30)=25-5.30=19.7025−(5+0.30)=25−5.30=19.70

Final answer: The cost of the tax-free items is Rs. 19.70