Aptitude - Percentage - Discussion

Discussion :: Percentage - General Questions (Q.No.13)

13. 

Gauri went to the stationers and bought things worth Rs. 25, out of which 30 paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?

[A]. Rs. 15
[B]. Rs. 15.70
[C]. Rs. 19.70
[D]. Rs. 20

Answer: Option C

Explanation:

Let the amount taxable purchases be Rs. x.

Then, 6% of x = 30
100

x = 30 x 100 = 5.
100 6

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


Karthik said: (Jun 9, 2010)  
How did you take x = 30/100 ?

Sundar said: (Jun 9, 2010)  
Hi Karthik,

We can write 30 paise as Rs. 0.30 or Rs. 30/100.

Have a nice day!

Anis said: (Sep 15, 2010)  
Why do we add that 0.30 at the last part? Didn't understand.

25- (5+. 30)

Ashish said: (Sep 17, 2010)  
Because we have to find the cost of tax free item.

Cost of item on which tax is payed is Rs. 5 and the tax on Rs. 5 is 30 paise.

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

Have a nice day!

Mahu said: (Oct 11, 2010)  
I was not exactly get the cost of items on which tax is payed.

Sandeep said: (Nov 12, 2010)  
Answer has to be option-d. Simply if 2o rs is non-taxable then 5 rs. Is taxable and 6% of that is 30 ps.

Shiva said: (Jan 3, 2011)  
Any one tell easiest method please ! It's difficult.

Sushruth said: (Jan 17, 2011)  
analyze this way... saletax on tax
6% is 30ps that is saletax on tax so find tax...
if 6%=30ps find for 100% u get tax
non taxable items = cost-tax-saletax = 25 - 5 - .3 = 19.70

Jasika said: (May 11, 2011)  
X=5? how it come dint got.

Scarlet said: (May 18, 2011)  
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?

Nagapavan said: (Aug 28, 2011)  
1.question not understand

2.1st 25lit alchol+5lit water

ratio 5:1

Taking 6 lit means 5lit alchol and 1lit water are taken out therefore 20lit alchol and 4 lit water are remaining after that 6lit water is filled

20/30*100=66.66%

Vishal Yadav said: (Nov 18, 2011)  
20 is rite answer and according to ashish if you are giving sale tax 20000 then you have to pay agin tax of 20000 and again and again so on.

Sanjeev said: (May 27, 2012)  
1. The first question can be solved in this way...
Take x as the price of chair n y as price of table.
2x+y=400 -eq1
Now with 10% loss in chair so subtract 0.1*2=0.2 from 2x and add 0.1 in y in Eq 1 and 5% profit in total so add 20 to 400
1.8x+1.1Y= 420 - eq2

Solve 1 and 2 eq we will get x as RS
50

Tarun said: (Jun 21, 2012)  
5% of income of A is equal to 15% income of B and 10% of income of B is equal to 20% of income of C .if income of C is 20,000/-,then total income of A B C.

Sangeetha said: (Jul 7, 2012)  
Income of C is 20, 000.

20% of C = 10% of B.

So 20/100*20000=10/100*B.

We got B as 40000.

Then 5% of A = 15% of B.

5/100*A= 15/100*40000.

We got A as 120000.

Total is A+B+C=120000+40000+20000.

Total is 1, 80, 000/-.

Sachin said: (Sep 2, 2012)  
Why do we add 0.30 at the last part? i Didn't understand.

Mini said: (Sep 18, 2012)  
.30 is the actual tax paid not a part of the taxable portion which is rs.5.So .30 should not be included in the end of the solution.

Jay said: (Oct 2, 2012)  
@Scarlet.
Lets consider x is CP of chair and 400-x is CP of Table

(x*90/100)+((400-x)*110/100) = 400 *105/100.

Solve the above equation u vl get x=100.
So chair cost is 100.

Rohit Jadaun said: (Mar 14, 2013)  
Let x be the cost on which we are applying tax.

Then x*5/100=30/100 (30 paisa is now 30/100 rs).

x=5rs, on which we give tax.

And the tax is 0. 30rs.

So the total amount deducted will be 25- (5+0. 30) =19. 70.

Naresh said: (Apr 4, 2013)  
Let the amount taxable purchases be Rs. N.

Then, 6% of N =30/100
6/100 *N = 30/100 , then N=5.

Now we have to take the tax on 5Rs i.e.. 6%of 5.
That equals to , = (6/100)*5 = 0.30.

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

Sunny said: (May 2, 2013)  
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).

Vinod Anand said: (Jun 3, 2013)  
Bought things worth = Rs. 25.00.

Than 25 = 30*100/6.

=500/25 = 20.

When .30 paise went on sales tax on taxable purchases.

Than = 20-0.30 = 19.70 , Option (C).

or

6% of X = 30/100 ( when .30 Paisa = Rs.30/100).

Than x = 30*100/6*100 = 5.

Hence Rs. [25 - (5+.30)].

= 19.70 ,Option (C).

Mahindra Timsina said: (Oct 9, 2013)  
It is like this:

Total amount available for purchase after tax is (25-0.3) Rs 24.7.

Let taxable purchase be x.

Now, 0.06x =0.3 and x = 5 (taxable purchase).

Now tax free purchase will be 24.7-5 which is equal to Rs 19.70.

Hope it is clear. Cheers!

Swaminathan Vembu said: (Jul 3, 2014)  
If x is the total value of the amount paid.
Then 6 Percent of x = 30 paise as per the given data.

This implies 6/100 * x = 30 / 100 Rs.
Therefore x = 5Rs.

Adding 0.3 to 5 = 5.3 Rs = Total sales tax on all purchases.

Cost of all item (taxable + Non Taxable) = 25Rs.

Therefore amount paid on Non Taxable Items = 25-5.3 = 19.7Rs.

Kondareddy said: (Jul 23, 2014)  
6% is equal to 30 paise.
60% is equal to 300 p.
90% is equal to 450 p.

Remaining is 10% ok in 10 % (6 % is 30 p) so remaining is 4%
4% is equal to 20 p.

Now we add all paisas 450+30+20 = 500 paisa it is equal to 5 rupees ok.

So tax rate is 5 now we subtract it from original price 25-5 = 20.

From 20 we subtract basic tax is 20 - 0.30 = 19.7 rupees.

Santi Bishnu said: (Nov 10, 2014)  
What is the meaning of purchasable tax? This word confused me.

Khan said: (Dec 6, 2014)  
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.

Sweta said: (May 9, 2015)  
I also think 20 is the right answer. Why do we have to deduct 30 paise?

V Madhavaswamy said: (Jun 1, 2015)  
Why you adding 30 paisa in final result in question no need mention any free tax. So why you added I can't understood.

Shivam said: (Jun 20, 2015)  
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.

Shirley said: (Jul 17, 2015)  
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.

Sandeep said: (Aug 4, 2015)  
Really I can't get any thing please any one explain me clearly.

Vipul said: (Aug 29, 2015)  
Cost of stationary item is Rs. 25 which is included tax 30 paise.

So cost of item without tax is 25-0.30 = 24.70.

Now according to question let cost of item in which applying tax be X.

So 6% of X = 30/100 (because to convert paise into rupee divide by 100).

= 6/100*X = 30/100.

X = 5 rupees.

Now, cost of item with tax free = 24.70-5 = 19.70.

Eshu said: (Dec 2, 2015)  
There is an also another way.

1) The bought thing of Rs. 25.

2) 30 paise (0.030).

So subtract it 25-(0.030) = 24.7.

Then 30/6*100 = 30/6 = 5.

Subtract 24.7-5 = 19.7.

So here you get 19.7.

Prajyot said: (Jan 30, 2016)  
@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 %.

Manju said: (Mar 1, 2016)  
Tax = 6%.

There for tax = 6% of 24.7 (excluding 30 ps).

That is = 1. 482.

Therefore tax free = 25 - (1.482 + 0.3) = 23.218 know?

Shyam said: (Mar 4, 2016)  
Simple:

X be taxed items.
Y be non-taxed items.

Rs.25
Tax 30 Paise.
Tax 6%.

(6/100)X = (30/100).
X = 5.

Y = (25-(X+0.30)).
Y = 19.70.

Dezal said: (Apr 16, 2016)  
In a class 60% of students passed in Telugu, 50% 0f students passed in English. Then if every student Passed in either Telugu or English or both the subjects. Then what is the percentage of students passed in both the subjects?

Can anyone help me to solve this problem?

Devd said: (Jul 3, 2016)  
Please explain why 30 paise is deducted?

Amrit said: (Jul 15, 2016)  
Why X is taken? It is already given Rs. 25, out of which 30 paise went on sales tax.

Shivaji said: (Jul 17, 2016)  
@Dezal.

Solve it through vein diagram.
60 + 50 = 110.
10 is extra count and it is the number of students who passed in both subject.

Nishant said: (Aug 5, 2016)  
The solution becomes:

Rs. 25= cost of Tax-free items + cost of taxable items + tax on taxable items.

.... 25 = 19.70 + 5 + 0.30.

Shivanand Sattikar said: (Aug 21, 2016)  
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.

Ankit Patel said: (Sep 3, 2016)  
Why 100/6 is multiplied to find the value of x?

Rohit Gupta said: (Sep 4, 2016)  
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.

Vishal said: (Sep 19, 2016)  
Table - Chair
15 - 5

By selling the chairs at 10% loss and the table at 10% profit, a total of 5% profit is made.

5%20 * 400 = 100 So cp of chair is Rs 100.

Abc said: (Oct 30, 2016)  
@Sanjeev.

Please, explain how to simplify the equation 1 and 2.

Rekha said: (Nov 17, 2016)  
How 6%of x = 30/100?

Ahmed Nayon said: (Nov 18, 2016)  
As the question ask for cost of tax free items, we have to deduct the cost of taxable items and the tax imposed them (tax and taxable cost are included in the total cost).

Manasa said: (Jan 2, 2017)  
I'm unable to understand the answer.

The answer must be 20.

Why should we again calculate tax on tax payment?

Chirag said: (Feb 7, 2017)  
@Sunny.

Nice explanation& thanks for elaborating it.

Khadarbaba said: (Mar 8, 2017)  
@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.

Aishwarya said: (Jun 11, 2017)  
Hi, Why has it considered x as the taxable amount? since we are talking about both taxable and non-taxable here! please help me.

Aishwarya said: (Jun 12, 2017)  
Hi, Why has it considered x as the taxable amount? since we are talking about both taxable and non-taxable here! Please help.

Sourav said: (Jun 15, 2017)  
Why should to 6% to 30 paise?

Lareb said: (Jul 20, 2017)  
I'm not understanding the statement. Kindly help me to get it.

Manisundaram said: (Aug 15, 2017)  
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.

Dhanush Raj said: (Aug 17, 2017)  
Given 400$.

Assume the cost of the table is 250 and cost of two chairs 150.
250+150=400.
10% loss from chairs=150-15=135.
And 10% profit from table=250+25=275.
275+135=410 .
Here in this 410, 5% of profit is added i.e,. 10$.

So, the cost price of chair is 150.

Tarun said: (Aug 31, 2017)  
Two tailors X and Y are paid a total of Rs.550 per week by their employer. If X is paid 120 percent of the sum paid to y, how much is Y paid per week?
Can anyone help me to find out solution?

Preeti said: (Sep 4, 2017)  
Let the sum paid to Y per week be Rs. z.
Then X will get= 120% of Y,

It means= z*120/100= 6/5 z.
Let the total is z+6/5 z = 550.
(5z+6z)/5 =550,
11z=550*5,
z = 250 Ans.

Kishan said: (Sep 4, 2017)  
6% of 5 is 30 paise, so the answer must be D.

Ratan said: (Sep 20, 2017)  
X is assumed to be of taxable purchase right which comes out to be rs 5, It means that the taxable item would have a cost of ( 5-0.30 ) I think, Explain Please.

Kaizer said: (Nov 6, 2017)  
Gauri buy total 25 rs items in which some are taxable and some are tax free. After calculating 5 rs is taxable in 25 and rs 5 tax is 30 paisa. That's is why.

Tax free item = total- (taxable item price+ tax amount).

Swapnil said: (Dec 30, 2017)  
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.

Sapna said: (Mar 1, 2018)  
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.

Shuaib said: (May 15, 2018)  
I am not understanding this. Please explain me.

Shyam said: (Jun 17, 2018)  
@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.

Mansu said: (Aug 17, 2018)  
Why we take 30/100, here?

Rituparna said: (Aug 28, 2018)  
But it is written that the tax of 30 paise was paid out of Rs. 25.

So, the tax amount+taxable amount+ non taxable amount=Rs. 25.
actually, Gauri bought things worth Rs.25-0.30=24.70 and then she had to pay 30 paise as a tax making the total cost Rs.25.

Nivedita Soni said: (Sep 3, 2018)  
This is very helpful. Thanks Sir.

Umed said: (Oct 7, 2018)  
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.

Alemu said: (Nov 20, 2018)  
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.

Shikha said: (Dec 13, 2018)  
Please explain me the answer.

Anomie said: (Jan 22, 2019)  
I am not getting. Please, anyone explain the answer.

Juvie said: (Jan 22, 2019)  
Hey guys, how does this come?

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

Please someone say me the answer.

Yadapalli Gopi said: (Apr 19, 2019)  
@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.

Manikanta said: (Jul 13, 2019)  
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.

Rudra said: (Oct 21, 2019)  
Please provide short cuts to give answer.

Bhanu said: (Nov 11, 2019)  
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.

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