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 6 of 10.
Devendra said:
5 years ago
Why adding 0.30?
Sanjeev said:
1 decade ago
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
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
Kondareddy said:
1 decade ago
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.
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.
Swaminathan Vembu said:
1 decade ago
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.
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.
Mahindra Timsina said:
1 decade ago
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!
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!
Vinod Anand said:
1 decade ago
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).
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).
Sunny said:
1 decade ago
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).
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).
Naresh said:
1 decade ago
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.
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.
Rohit jadaun said:
1 decade ago
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.
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.
Jay said:
1 decade ago
@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.
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.
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