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:
100 comments Page 9 of 10.
Sunny said:
5 years ago
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.
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.
Rita said:
5 years ago
Someone, please explain the answer.
Ravi Kumar said:
5 years ago
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.
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.
Devendra said:
5 years ago
Why adding 0.30?
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)
Sres said:
4 years ago
The cost of tax-free item is =total cost-(cost of the item on which tax is imposed + tax on it).
Correct me, if I am wrong.
Correct me, if I am wrong.
(4)
RAJ said:
4 years ago
We have to find the cost of tax-free items.
The cost of item on which tax is paid is Rs. 5 [after crossing a limit of Rs. 20]and the tax on Rs. 5 is 30 paise.
Cost of tax free items = Rs. [25 - (5 + 0.30) ] = Rs. 19.70.
The cost of item on which tax is paid is Rs. 5 [after crossing a limit of Rs. 20]and the tax on Rs. 5 is 30 paise.
Cost of tax free items = Rs. [25 - (5 + 0.30) ] = Rs. 19.70.
(6)
Vanitha said:
4 years ago
Why do we add that 0.30 at the last part? Didn't understand. Please explain.
(9)
Siddu said:
4 years ago
Let y is paid 100.
X is paid 120,
Then 220= 550 total pay of both,
Then find unit of 1 = 2.5,
Y = 2.5 * 100 = 250,
X = 2.5 * 120 = 300.
X is paid 120,
Then 220= 550 total pay of both,
Then find unit of 1 = 2.5,
Y = 2.5 * 100 = 250,
X = 2.5 * 120 = 300.
(2)
Rakesh said:
4 years ago
Item price 25 - tax 30 paise = 24.70.
6% = 30 paise then 100%=?
100 * 30/6=500 paise means 5 rs.
Now 24.70-5 = 19.70 rs.
6% = 30 paise then 100%=?
100 * 30/6=500 paise means 5 rs.
Now 24.70-5 = 19.70 rs.
(102)
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