Aptitude - Percentage - Discussion

Please explain me the answer.

I am not getting. Please, anyone explain the answer.

Hey guys, how does this come?

i.e;
[25- (5 + 0.30) = 19.70].

Please someone say me the answer.

@Scarlet

Answer for the 1st question is;

Let us take cost price of table (cp1)=x;
The cost price of chairs(cp2)=400-x;
Selling chairs at a loss is 10%: 10 = (loss/cp2).
10 = ((cp2-sp2)/cp2).
10 = ((400-x)-sp2)/400-x (cp2=400-x).
sp2 = -9(400-x) (sp2=selling price of chairs).

Selling table at profit is 10%: 10=(profit/cp1) .
10=(sp1-cp1)/cp1.
10=(sp1-x)/x (cp1=x).
sp1=11x (sp1=selling price of table).


Selling total at a profit is 5%: 5=(profit/total)
5= (sp-cp)/cp
5= (sp1+sp2)-400/400
(sp1+sp2)-400=2000
sp1+sp2=2400
11x+9x-3600=2400 ( sp1=11x , sp2=-9(400-x) )
20x=6000
x=300
The chair cost price is(cp2) = 400-300 = 100.
The cost price of chairs is $100.
The cost price of table is(x) $300.

Here 25Rs includes(Non taxable amount+taxable amount+Sales Tax paid).

Tax rate is 6%on which tax paid is 30paise(30/100).
If 6% is 30/100, then for 100%(which is taxable amount) =?.
taxable amount=30paisa(or 30/100)*100/6=5rs.
So, Here 25 - (5 + 0.30) = 19.70 Is the answer.

Please provide short cuts to give answer.

I am not getting, Please explain me.

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.

Someone, please explain the answer.

The answer should be option D.

We get Rs. 5 as the number of taxable items which includes the tax of Rs 0.3.
Then why should we add that tax of Rs. 0.3 again in the last equation as Rs.5 contains the tax of Rs. 0.3 already.

Therefore, the cost of tax-free items should be = Rs.(25-5) = Rs.20.

Hope you all understood.