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?

The cost of the tax‑free items is Rs. 19.70.

Step-by-step explanation

1. Total amount spent at the shop = Rs. 25
2. Out of this, 30 paise (i.e., Rs. 0.30) was paid as sales tax.
3. Let the value of taxable purchases (before tax) be xxx rupees.
4. Sales tax rate = 6%, so

Tax=6% of x=6100x\text{Tax}=6%\text{ of }x=\frac{6}{100}xTax=6% of x=1006​x

But this tax is given as Rs. 0.30, so

6100x=0.30⇒x=0.30×1006=5\frac{6}{100}x=0.30\Rightarrow x=\frac{0.30\times 100}{6}=51006​x=0.30⇒x=60.30×100​=5

So, taxable goods (before tax) cost = Rs. 5.

5. Total money going towards taxable items = cost of taxable items + tax
   = Rs. 5 + Rs. 0.30 = Rs. 5.30

6. Therefore, cost of tax‑free items
   = Total spent − Amount spent on taxable items
   = Rs. 25 − Rs. 5.30
   = Rs. 19.70 ✅

So, Gauri spent Rs. 19.70 on tax‑free items.