Aptitude - Percentage - Discussion
Discussion Forum : 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?
Answer: Option
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
Discussion:
102 comments Page 3 of 11.
Swapnil said:
9 years ago
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.
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.
(1)
Mansu said:
8 years ago
Why we take 30/100, here?
(1)
Alemu said:
8 years ago
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.
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.
(1)
Devendra said:
6 years ago
Why adding 0.30?
(1)
Covindh said:
5 years ago
The answer is D becuase;
Given,
Total cost = Rs25 = Cost of non-taxable items + cost of taxable items = NT + T ----> eq.1
Now,
6% of cost of taxable items = Rs0.3.
Therefore, cost of taxable items = (100*0.3)/6 = Rs 5 = T.
From eq.1,
25 = NT + T.
25 = NT + 5.
Therefore, Cost of non-taxable items = Rs20 ----> Ans: D.
Given,
Total cost = Rs25 = Cost of non-taxable items + cost of taxable items = NT + T ----> eq.1
Now,
6% of cost of taxable items = Rs0.3.
Therefore, cost of taxable items = (100*0.3)/6 = Rs 5 = T.
From eq.1,
25 = NT + T.
25 = NT + 5.
Therefore, Cost of non-taxable items = Rs20 ----> Ans: D.
(1)
Karthik said:
2 decades ago
How did you take x = 30/100 ?
Sundar said:
2 decades ago
Hi Karthik,
We can write 30 paise as Rs. 0.30 or Rs. 30/100.
Have a nice day!
We can write 30 paise as Rs. 0.30 or Rs. 30/100.
Have a nice day!
Anis said:
2 decades ago
Why do we add that 0.30 at the last part? Didn't understand.
25- (5+. 30)
25- (5+. 30)
Ashish said:
2 decades ago
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!
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:
2 decades ago
I was not exactly get the cost of items on which tax is payed.
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