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:
101 comments Page 8 of 11.
Rekha said:
9 years ago
How 6%of x = 30/100?
Manasa said:
9 years ago
I'm unable to understand the answer.
The answer must be 20.
Why should we again calculate tax on tax payment?
The answer must be 20.
Why should we again calculate tax on tax payment?
Chirag said:
9 years ago
@Sunny.
Nice explanation& thanks for elaborating it.
Nice explanation& thanks for elaborating it.
Khadarbaba said:
9 years ago
@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.
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:
8 years ago
Hi, Why has it considered x as the taxable amount? since we are talking about both taxable and non-taxable here! Please help.
Aishwarya said:
8 years ago
Hi, Why has it considered x as the taxable amount? since we are talking about both taxable and non-taxable here! please help me.
Sourav said:
8 years ago
Why should to 6% to 30 paise?
Lareb said:
8 years ago
I'm not understanding the statement. Kindly help me to get it.
Manisundaram said:
8 years ago
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.
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:
8 years ago
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.
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.
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