Aptitude - Percentage - Discussion

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.

@Scarlet:

2) A container contains 30 litres of alcohol. From this container 5 litres of liquid is taken out and the container is completely filled by water. Next time 6 litres of mixture was taken out and the container was completely filled with water. Approx how much percent alcohol is left behind in the container?

5 litres removed from 30 liters.

>>> alcohol removed = 5(25/30).

= 4.16 liters.

>>> alcohol present = 25 - 4.16.

= 20.84 liters.

Now 6 liters removed from 30 liters.

>>> alcohol removed = 6 (20.84/30).

= 4.168 liters.

>>> alcohol present = 20.84 - 4.168.

= 16.67 liters.

Now we are asked % of alcohol present:

= 16.67 of 30.

= 16.67/30 * 100 = 55.56 %.

@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.

@All.

Here is my explanation for the answer.
Gowri went to stationery and bought items priced at rupees 25 including the tax
Which is 0.3 rupees.
Without the sales tax, she might have paid 25-0.3 = 24.70 rupees.

24.7 Rs. is the price of the items without tax .. but it still contains the cost of the taxable products.
That is .. cost of tax-free products + the cost of taxable products = 24.7 Rs.
i.e, if he has subtracted the cost of taxable products from 24.7 Rs.
We will get the cost of tax-free products.

FINDING THE COST OF TAXABLE PRODUCTS:
Let the cost of taxable products be 100%,
Given that,
6%=0.3 rs,
100% = x.
x = 5 rs.
In the cost of tax-free products 24.7-5 = 19.7 rupees.

@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.

We have to find **cost of tax-free items**
Total purchase of rs. 25 (which includes taxable items cost and non-taxable items cost)
we had given out of Rs. 25, 30 paise was tax.
And this 30 paise was 6% of the taxable cost
So if 30 paise is 6% then 100%= ??
30*100 / 6 = 500 paise = 5 Rs (taxable cost).
Now, we have to give 5 rs original cost + 30 paise tax on it ( 6% of Rs 5 )

Hence our answer is 25- (5+0.30) = 19.70

(The total cost Rs. 25 is including of tax hence we have to reduce *taxable cost + tax* for finding non-taxable cost).

I need help with these 2 questions:

1) A table and two chairs together cost $400. If by selling the chairs at 10% loss and the table at 10% profit, a total of 5% profit is made. What is the cost price of a chair?

2) A container contains 30 litres of alcohol. From this container 5 litres of liquid is taken out and the container is completely filled by water. Next time 6 litres of mixture was taken out and the container was completely filled with water. Approx how much percent alcohol is left behind in the container?

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.

Hi,
Let's assume,
Price of non-taxable item --) X
Price of taxable item --) Y
Tax Amount --) Z
Gauri gave total amount Rs.25
So,
X+Y+Z = 2500 ( amount in Paise) ----(A)
6% of Price of taxable item = Tax Amount
Here tax amount is 30 Paise.
So,
6Y/100 = 30 ---(B)
Therefore Y = 500
We have Y = 500 and Z= 30
Put these in first equation (A)
X + 500 + 30 = 2500
X = 1970
So X value is 1970 Paise.
Price of non taxable item is Rs. 19.70.
Use equations whenever possible.
Have a good day.

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.