Aptitude - Percentage - Discussion

I am not getting, Please explain me.

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.

Please provide short cuts to give answer.

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.

@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.

Hey guys, how does this come?

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

Please someone say me the answer.

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

Please explain me the answer.

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.

6 percent of taxable = Total tax = 5.
Total tax = Sales tax + Misc tax.

Since, she already accounted for the sales tax of 30p, in the beginning, we add at the end.