Aptitude - Percentage - Discussion

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25rs she brought items then,
25rs of 6% = 6.
Then subtract 6 - 25 = 19.

25rs = 2500p (1rs = 100p).
Totals spend = nontax item + tax item + tax = 2500p.

So, tax rate = 6% => 6% of (tax item) = 6% x (tax item) = tax
tax = 30p.
6/100 x (tax item) = 30p.
tax item = 3000/6 = 500p.
Then nontax item = total - tax item - tax = 2500 - 500 - 30 = 1970p,
Nontax item = 1970/100 = 19.7rs.

@All.

Here is my explanation for the answer.
Gowri went to stationery and bought items priced at rupees 25 including the tax
Which is 0.3 rupees.
Without the sales tax, she might have paid 25-0.3 = 24.70 rupees.

24.7 Rs. is the price of the items without tax .. but it still contains the cost of the taxable products.
That is .. cost of tax-free products + the cost of taxable products = 24.7 Rs.
i.e, if he has subtracted the cost of taxable products from 24.7 Rs.
We will get the cost of tax-free products.

FINDING THE COST OF TAXABLE PRODUCTS:
Let the cost of taxable products be 100%,
Given that,
6%=0.3 rs,
100% = x.
x = 5 rs.
In the cost of tax-free products 24.7-5 = 19.7 rupees.

It's simple.

First we need to find the taxed item cost,
tax is 6% = 30 paise, hence to find the cost of taxable items we need to find 100% value which is 500paise = 5rs ;
Hense cost of a taxable item = 5 rs and also we need to apply tax on this item which is 30paise.The total cost of a taxable item = 5rs 30paise.
Tax free items cost = 25 - 5.30 = 19.70.
Hope you understand.

First calculate the actual worth of purchases WITHOUT SALES TAX.
= 25 - 0.30 = 24.70 Rs
→ (Note: we divided 30 by 100 to convert it into Rs).

Sales Taxes are calculated as a percentage of the purchase price,
So let's say that taxable purchases = y.
Then : y * 6/100 = 0.30.
∴ y (Taxable Purchases) = 5 Rs.

∴ Cost of TAX-FREE purchases = 24.70 - 5 = 19.70 Rs.

Total purchase amount Rs.25.
In table tax is 6% is = Rs.0.30.
Finding table actual price is Rs.0.30/6=0.05*100 = 5
The table price is Rs.5.
25 - 5 - 0.30 = 19.7.

It's simple, the amount spent on tax = 0.3,

Rate of tax = 6,
So 0.3 *100 = 30,
30 ÷ 6 = 5,
Since 0.3 is the tax amount, we have to reduce that also, so 5 + 0.3 = 5.3.

25 - 5.3 = 19.7.

We have to find **cost of tax-free items**
Total purchase of rs. 25 (which includes taxable items cost and non-taxable items cost)
we had given out of Rs. 25, 30 paise was tax.
And this 30 paise was 6% of the taxable cost
So if 30 paise is 6% then 100%= ??
30*100 / 6 = 500 paise = 5 Rs (taxable cost).
Now, we have to give 5 rs original cost + 30 paise tax on it ( 6% of Rs 5 )

Hence our answer is 25- (5+0.30) = 19.70

(The total cost Rs. 25 is including of tax hence we have to reduce *taxable cost + tax* for finding non-taxable cost).

Please explain the answer with formula.

60% of tax = 30 paise (As Per data).

Nowhere mentioned that 30 paise is a tax on tax. If so then tax won't be get calculated in the first place.

So, I think it should be D.