Aptitude - Percentage - Discussion

19.70 Rs is the correct answer because it is given in question that total tax is 0.3 Rs.

Now by the given data as tax rate 6% we have to find how much amount is present in 25 Rs on which tax is imposed after calculation this simply tells us that there are 5 Rs items on which the tax of 0.3 Rs is imposed so now total amount is 5 Rs for items and 0.3 Rs tax on those items total is 5.3 Rs to find out price of non taxable.

Items we will deduct rs 5.3 from Rs 25.

Lets say I purchased of Rs. Y (before paying tax) and the total of Rs. Y + tax (after paying tax)

Now, Y + tax = 25.

After spending, calculating 6% as, 5rs. means there is a 5rs. item on which I paid Rs.30 as the tax.

Thus: Y + Tax = 25.
That is: Y + .30 = 25,
or Y = 24.70.

Now, the items originally without paying tax were of Rs. 24.70. (that is I didn't pay the tax)
as 5 Rs item it taxable. Thus the item which is not taxable is : 24.70 - 5.00 = 19.70.

@Scarlet.

Lets say cost price of chair and table are C & T respectively.
Given, T+2(C)=400......[EQ 1] (sice there are two chairs.)
Chair at 10% loss
Table at 10% profit and
Total profit is 5%.

As there are two chairs, 2((90/100)*C)+(110/100)*T=(105/100)*400 -------> [eq 2.]

BY SOLVING EQ 1 & EQ 2, WE GET C=50.
Hence cost of the chair is 50$ but not 100$ as told by others, they didn't consider the second chair.

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.

Here, total things worth is 25rs.
30 Paisa means our tax to the government,
And the tax rate is 6% of tax-free products.

So, our tax is dependents on the tax rate of free products.
Let assume price of free item is 'x'.
ie. x*6% = 30/100 (30 Paisa converting into ruppes).
x = 5.

Total worth = tax free product + government tax on product + our tax.
25 = x + 5 + 0.3 ( in ruppes),
25 - 5.3 = x,
19.7 = x.

Amount of which item purchased = Rs.25.
Some portion of amount comes under taxable amount...let it be X.

Total amount given = tax free amount + taxable amount + sales tax on taxable amount.

It is clearly mention in the question that, sales tax is on taxable amount.
Therefore, 6%(taxable amount) = 30/100.

Taxable amount = Rs. 5.
Sales tax= Rs. 0.30.
Total tax free amount= Rs. 19.70 i.e.(25-5.30).

In the question. They have asked the cost of tax-free items. So in total purchased things, there will be things which are tax-free and the others will applied tax.

So, the tax applied to the items on which 6% TAX APpIES is 30p. So this tax applied the item which costs Rs. 5 as mentioned above. Then subtracting 5 + 0.3 from Rs. 25 we get Rs. 19.7.

Hope at least now you understood.

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 tax = 30 paisa = 0.3 rupees.

Amount for which this tax is imposed, can be calculated as:

If tax is 6 rupees then amount = 100.

If tax is 1 rs then amount = 100/6.

If tax is 0.30 rs then amount = 100/6*0.30 = 5.

Now tax free amount = 25-(5+0.30) = 19.70.

Note, we added 0.30 in 5 to find the total amount along with tax and then subtracted from 25 to get tax free amount.

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.