Aptitude - Percentage - Discussion

This is very helpful. Thanks Sir.

But it is written that the tax of 30 paise was paid out of Rs. 25.

So, the tax amount+taxable amount+ non taxable amount=Rs. 25.
actually, Gauri bought things worth Rs.25-0.30=24.70 and then she had to pay 30 paise as a tax making the total cost Rs.25.

Why we take 30/100, here?

@All.

At first, I understood both the problems that is why should we include 0.30 at the end and why shouldn't we!

But why do we equate 6% of taxable items to 0.30(6%t.a=0.30) as 0.30 is just sales tax on the taxable amount and we normally equate this when tax paid is 0.30 paise right!so anyone helps me out why did we equate.

I have solved this problem by this thought process-
tax=6%,
tax paid=0.30,
let x be taxable purchases,
so,
6/100*x=0.30 paise,
x=5,
and thus 25-5=20.

Please help me why should we equate 6% ts to 0.30 if 0.3 is the sales tax and not the tax amount originally.

I am not understanding this. Please explain me.

The question it is said that tax rate was 6%.
So, from this, we can say 6% on taxable purchase = 0.30paisa,

Find money incurred in tax-free purchase = ?

Let taxable purchase be x
6% on taxable purchase = 0.30paisa,
6% * x = 0.30
6/100 * x = 30/100
x=30/100*100/6
x=5

tax free purchase = total purchase - (taxable purchase + tax)
tax free purchase = 25 - (5 + 0.30)
tax free purchase = 25 - 5.30
tax free purchase = Rs 19.70 is the answer.

Simple..
In problem given that 30 paise went on sales tax on taxable purchase at the rate of 6%

If 6%= 30 paise
Then 100% for 30 paise is
100/6 * .30 (30 paise = 30/100= .30 rs)
= 5 rs (it is taxable amount)

Now sale tax is given 30 paise OR 6 % of taxable amount ie. 6% of 5 = .30 rs

So total taxable amount = taxable amt+ sales tax
5+.30= 5.30
Non taxable amt= total amt. - total taxable amt
= 25- 5.30
= 19.70 final ans.

Gauri buy total 25 rs items in which some are taxable and some are tax free. After calculating 5 rs is taxable in 25 and rs 5 tax is 30 paisa. That's is why.

Tax free item = total- (taxable item price+ tax amount).

X is assumed to be of taxable purchase right which comes out to be rs 5, It means that the taxable item would have a cost of ( 5-0.30 ) I think, Explain Please.

6% of 5 is 30 paise, so the answer must be D.