Aptitude - Percentage - Discussion

Please explain the answer with formula.

We have to find the cost of tax-free items.

The cost of item on which tax is paid is Rs. 5 [after crossing a limit of Rs. 20]and the tax on Rs. 5 is 30 paise.

Cost of tax free items = Rs. [25 - (5 + 0.30) ] = Rs. 19.70.

The cost of tax-free item is =total cost-(cost of the item on which tax is imposed + tax on it).

Correct me, if I am wrong.

19.70 rs. Is the write answer because.

Given:

(1) Total cost of the things purchased: Rs. 25.

The things purchased of rs. 25 includes both taxable and non-taxable things.

(2) Sales tax: 30 paise = 0.3 rs.

(3) Tax rate: 6%.

This tax rate will be applied on cost of taxable products which gives sales tax.

Solution:

Step 1: Find cost of products on which tax is applied (i.e. Taxable products).

So here, let x be the cost of products on which tax is applied.

And tax rate on x product is 0. 3.

i.e 6% of x = 0.3.

x = 5.

Rs. 5 is only the cost of taxable product, on which sales tax is going to be added.

Your doubt: why sales tax (ie. 0.3) is added with cost of taxable product (ie. 5).

Answer to your doubt:

Question your self: On what sales tax is applied.

Ans: Products that has tax on them.

So, we find the cost of products that has tax on them and add it to sales tax.

i.e. 5+0.3 = 5.3.

Step 2: Find Non-taxable products.

Cost of products = (Cost of taxable products + Cost of non-taxable products).

25= 5.3 + cost of non-taxable products.

Cost of non-taxable products = 25-5.3 = 19.70 rs.

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.

Let y is paid 100.

X is paid 120,
Then 220= 550 total pay of both,
Then find unit of 1 = 2.5,
Y = 2.5 * 100 = 250,
X = 2.5 * 120 = 300.

In the above question.

If whole 25 rupees is taxable then she would have paid 1.5rs tax i.e 150 paise because 6% of 25 is 1.5.

But she had only paid 30 paise i.e taxable amount of only 5 rupees.

So the total taxable amount is 5.3 rupees.. non-taxable amount is 19.70 rupees.

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.

Why we take 30/100, here?

Let the cost of tax free items be Rs. X.
then, the cost of taxable items equals Rs. 25-x.
Therefore, 6% of 25-x = 0.3,
6/100(25-x) = 0.3,
X = 20.