Mixing
How to calculate the price of a product without the sales tax, if we know the price including the tax and the...
$begingroup$
The question is
The price of a mobile phone is $8800 inclusive of a 10% GST (General
Sales Tax). What is the original price of the mobile phone?
This is how I approached it:
The Sale Price SP of the phone, i.e. it's Original Price OP (sale price excluding GST) + GST on it, is $8800:
SP = OP + GST ---(1)
But we don't have the GST, we only have it's percentage. So let's calculate out GST from the percentage/rate:
GST-in-Percentage = (GST / SP) * 100
=> 10 = (GST / 8800) * 100
=> GST = 880
Now, putting values in (1):
8800 = OP + 880
=> OP = 8800 - 880
=> OP = 7920
Note: I have seen it again and again, but I can't see anything wrong with the approach. But this is how they did it:
Price of the mobile = 8800
GST rate = 10%
Original Price=?
Price percent of the mobile = 100% + 10%;
By using Unitary method,
110% price = $8800
1% price = (8800 / 110)
100% price = (8800 / 110) * 100 = $8000
So the original price is $8000.
Where did I go wrong?
arithmetic finance
asked Feb 22 '16 at 18:49
SolaceSolace
17619
$endgroup$
add a comment |
$begingroup$
The question is
The price of a mobile phone is $8800 inclusive of a 10% GST (General
Sales Tax). What is the original price of the mobile phone?
This is how I approached it:
The Sale Price SP of the phone, i.e. it's Original Price OP (sale price excluding GST) + GST on it, is $8800:
SP = OP + GST ---(1)
But we don't have the GST, we only have it's percentage. So let's calculate out GST from the percentage/rate:
GST-in-Percentage = (GST / SP) * 100
=> 10 = (GST / 8800) * 100
=> GST = 880
Now, putting values in (1):
8800 = OP + 880
=> OP = 8800 - 880
=> OP = 7920
Note: I have seen it again and again, but I can't see anything wrong with the approach. But this is how they did it:
Price of the mobile = 8800
GST rate = 10%
Original Price=?
Price percent of the mobile = 100% + 10%;
By using Unitary method,
110% price = $8800
1% price = (8800 / 110)
100% price = (8800 / 110) * 100 = $8000
So the original price is $8000.
Where did I go wrong?
arithmetic finance
asked Feb 22 '16 at 18:49
SolaceSolace
17619
$endgroup$
$begingroup$
I can't understand your one before the last equation: $;1%;$ price = $;frac{8800}{100};?$ By the way, your result is correct. The first part is wrong because to add ten percent to a quantity is not the same as to substract ten percent to the obtained quantity, meaning: if $;y;$ is $;x;$ plus ten percent of x, then it is not true that $;x=y-$ ten percent of y.
$endgroup$
– DonAntonio
Feb 22 '16 at 18:53
add a comment |
$begingroup$
The question is
The price of a mobile phone is $8800 inclusive of a 10% GST (General
Sales Tax). What is the original price of the mobile phone?
This is how I approached it:
The Sale Price SP of the phone, i.e. it's Original Price OP (sale price excluding GST) + GST on it, is $8800:
SP = OP + GST ---(1)
But we don't have the GST, we only have it's percentage. So let's calculate out GST from the percentage/rate:
GST-in-Percentage = (GST / SP) * 100
=> 10 = (GST / 8800) * 100
=> GST = 880
Now, putting values in (1):
8800 = OP + 880
=> OP = 8800 - 880
=> OP = 7920
Note: I have seen it again and again, but I can't see anything wrong with the approach. But this is how they did it:
Price of the mobile = 8800
GST rate = 10%
Original Price=?
Price percent of the mobile = 100% + 10%;
By using Unitary method,
110% price = $8800
1% price = (8800 / 110)
100% price = (8800 / 110) * 100 = $8000
So the original price is $8000.
Where did I go wrong?
arithmetic finance
asked Feb 22 '16 at 18:49
SolaceSolace
17619
$endgroup$
The question is
The price of a mobile phone is $8800 inclusive of a 10% GST (General
Sales Tax). What is the original price of the mobile phone?
This is how I approached it:
The Sale Price SP of the phone, i.e. it's Original Price OP (sale price excluding GST) + GST on it, is $8800:
SP = OP + GST ---(1)
But we don't have the GST, we only have it's percentage. So let's calculate out GST from the percentage/rate:
GST-in-Percentage = (GST / SP) * 100
=> 10 = (GST / 8800) * 100
=> GST = 880
Now, putting values in (1):
8800 = OP + 880
=> OP = 8800 - 880
=> OP = 7920
Note: I have seen it again and again, but I can't see anything wrong with the approach. But this is how they did it:
Price of the mobile = 8800
GST rate = 10%
Original Price=?
Price percent of the mobile = 100% + 10%;
By using Unitary method,
110% price = $8800
1% price = (8800 / 110)
100% price = (8800 / 110) * 100 = $8000
So the original price is $8000.
Where did I go wrong?
arithmetic finance
arithmetic finance
asked Feb 22 '16 at 18:49
SolaceSolace
17619
asked Feb 22 '16 at 18:49
SolaceSolace
17619
asked Feb 22 '16 at 18:49
SolaceSolace
17619
asked Feb 22 '16 at 18:49
SolaceSolace
17619
asked Feb 22 '16 at 18:49
SolaceSolace
17619
17619
$begingroup$
I can't understand your one before the last equation: $;1%;$ price = $;frac{8800}{100};?$ By the way, your result is correct. The first part is wrong because to add ten percent to a quantity is not the same as to substract ten percent to the obtained quantity, meaning: if $;y;$ is $;x;$ plus ten percent of x, then it is not true that $;x=y-$ ten percent of y.
$endgroup$
– DonAntonio
Feb 22 '16 at 18:53
add a comment |
$begingroup$
I can't understand your one before the last equation: $;1%;$ price = $;frac{8800}{100};?$ By the way, your result is correct. The first part is wrong because to add ten percent to a quantity is not the same as to substract ten percent to the obtained quantity, meaning: if $;y;$ is $;x;$ plus ten percent of x, then it is not true that $;x=y-$ ten percent of y.
$endgroup$
– DonAntonio
Feb 22 '16 at 18:53
$begingroup$
I can't understand your one before the last equation: $;1%;$ price = $;frac{8800}{100};?$ By the way, your result is correct. The first part is wrong because to add ten percent to a quantity is not the same as to substract ten percent to the obtained quantity, meaning: if $;y;$ is $;x;$ plus ten percent of x, then it is not true that $;x=y-$ ten percent of y.
$endgroup$
– DonAntonio
Feb 22 '16 at 18:53
$begingroup$
I can't understand your one before the last equation: $;1%;$ price = $;frac{8800}{100};?$ By the way, your result is correct. The first part is wrong because to add ten percent to a quantity is not the same as to substract ten percent to the obtained quantity, meaning: if $;y;$ is $;x;$ plus ten percent of x, then it is not true that $;x=y-$ ten percent of y.
$endgroup$
– DonAntonio
Feb 22 '16 at 18:53
add a comment |
7 Answers
7
active
oldest
votes
$begingroup$
The other answers are correct but don't answer the question
Where did I go wrong?
Your problem is here:
10 = (GST / 8800) * 100
That says GST is 10 percent of 8800. but it's not. GST is 10 percent of the original price. You don't know that (yet) which is what makes the problem a little tricky.
You can see your mistake more clearly if you imagine a more extreme situation. Suppose the phone cost $1000 including a 100% sales tax ...
Stick with the method the other answers teach.
answered Feb 22 '16 at 18:58
Ethan BolkerEthan Bolker
43.1k551114
$endgroup$
$begingroup$
Hi, firstly thank you very much for explaining it. Secondly, in the book I have, it is written, "General Sales Tax is imposed by the Government on the percentage of the selling prices of things." So I took it as the Sale Price (the one the customer pays to buy the product). Are you sure it is calculated on the cost/buying/original price?
$endgroup$
– Solace
Feb 22 '16 at 19:06
1
$begingroup$
@Solace You're welcome. I'm quite sure that "selling price" means the price of the item before tax is computed. I can understand how taking it the other way is literally true, but it would be weird in practice. Take comfort in the fact that your mistake wasn't in the mathematics, it was in reading the problem without knowing the correct idiom.
$endgroup$
– Ethan Bolker
Feb 22 '16 at 19:10
$begingroup$
Hey the dictionary definition, " the price at which something is offered for sale" source shows that it is the final price at which products are sold, so it must include the taxes, isn't it? Sorry I am a lil confused
$endgroup$
– Solace
Feb 22 '16 at 23:55
$begingroup$
Actually I just added a question here
$endgroup$
– Solace
Feb 22 '16 at 23:59
add a comment |
$begingroup$
Suppose the price is $;x;$, so
$$x+frac{10}{100}x=xcdot(1.1)=8800implies x=frac{8800}{1.1}=8000$$
answered Feb 22 '16 at 18:52
DonAntonioDonAntonio
178k1494230
$endgroup$
add a comment |
$begingroup$
Here's a hint: $$x+frac{x}{10}=8800$$
answered Feb 22 '16 at 18:52
Bobson DugnuttBobson Dugnutt
8,54831939
$endgroup$
add a comment |
$begingroup$
You just didn't compute the 10% of the original price...
answered Feb 22 '16 at 18:55
Marco DisceMarco Disce
1,3991216
$endgroup$
add a comment |
$begingroup$
HINT
$$
SP=OP+GST=OPtimes Big(1+underbrace{frac{GST}{OP}}_{=10%}Big)
$$
answered Feb 22 '16 at 19:06
alexjoalexjo
12.4k1430
$endgroup$
$begingroup$
Thanks. I thought GST was calculated on Sale Price.
$endgroup$
– Solace
Feb 22 '16 at 19:07
add a comment |
$begingroup$
SP = Selling price = $y$
OP = Original price = $x$
SP = OP + GST of OP
y = x + GST X
$y = x + 0.18 x$ (where GST is 18% = 0.18)
$y = x (1+0.18)$
$y = x (1.18)$
We need to know the price $x$
$x = y/1.18$
e.g.
$SP = 118$
$OP = ?$
$x = 118/1.18$
$x = 100$
edited Apr 11 '18 at 6:53
jvdhooft
5,46061641
answered Apr 11 '18 at 6:34
Rajesh KRajesh K
1
$endgroup$
add a comment |
$begingroup$
It is very simple question,
Steps:
1) let us assume X as the actual price.
2) so the total amount is X(actual price)+18%(of the actual price)=2065
X+18%(X)=2065
that is equal to, X+0.18X=2065
ie, X(1+0.18)=2065
1.18X=2065
therefore, X=2065/1.18
hence X=1750
answered Jan 13 at 12:27
Saeed AnsariSaeed Ansari
1
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7 Answers
7
active
oldest
votes
7 Answers
7
active
oldest
votes
active
oldest
votes
active
oldest
votes
$begingroup$
The other answers are correct but don't answer the question
Where did I go wrong?
Your problem is here:
10 = (GST / 8800) * 100
That says GST is 10 percent of 8800. but it's not. GST is 10 percent of the original price. You don't know that (yet) which is what makes the problem a little tricky.
You can see your mistake more clearly if you imagine a more extreme situation. Suppose the phone cost $1000 including a 100% sales tax ...
Stick with the method the other answers teach.
answered Feb 22 '16 at 18:58
Ethan BolkerEthan Bolker
43.1k551114
$endgroup$
$begingroup$
Hi, firstly thank you very much for explaining it. Secondly, in the book I have, it is written, "General Sales Tax is imposed by the Government on the percentage of the selling prices of things." So I took it as the Sale Price (the one the customer pays to buy the product). Are you sure it is calculated on the cost/buying/original price?
$endgroup$
– Solace
Feb 22 '16 at 19:06
1
$begingroup$
@Solace You're welcome. I'm quite sure that "selling price" means the price of the item before tax is computed. I can understand how taking it the other way is literally true, but it would be weird in practice. Take comfort in the fact that your mistake wasn't in the mathematics, it was in reading the problem without knowing the correct idiom.
$endgroup$
– Ethan Bolker
Feb 22 '16 at 19:10
$begingroup$
Hey the dictionary definition, " the price at which something is offered for sale" source shows that it is the final price at which products are sold, so it must include the taxes, isn't it? Sorry I am a lil confused
$endgroup$
– Solace
Feb 22 '16 at 23:55
$begingroup$
Actually I just added a question here
$endgroup$
– Solace
Feb 22 '16 at 23:59
add a comment |
$begingroup$
The other answers are correct but don't answer the question
Where did I go wrong?
Your problem is here:
10 = (GST / 8800) * 100
That says GST is 10 percent of 8800. but it's not. GST is 10 percent of the original price. You don't know that (yet) which is what makes the problem a little tricky.
You can see your mistake more clearly if you imagine a more extreme situation. Suppose the phone cost $1000 including a 100% sales tax ...
Stick with the method the other answers teach.
answered Feb 22 '16 at 18:58
Ethan BolkerEthan Bolker
43.1k551114
$endgroup$
$begingroup$
Hi, firstly thank you very much for explaining it. Secondly, in the book I have, it is written, "General Sales Tax is imposed by the Government on the percentage of the selling prices of things." So I took it as the Sale Price (the one the customer pays to buy the product). Are you sure it is calculated on the cost/buying/original price?
$endgroup$
– Solace
Feb 22 '16 at 19:06
1
$begingroup$
@Solace You're welcome. I'm quite sure that "selling price" means the price of the item before tax is computed. I can understand how taking it the other way is literally true, but it would be weird in practice. Take comfort in the fact that your mistake wasn't in the mathematics, it was in reading the problem without knowing the correct idiom.
$endgroup$
– Ethan Bolker
Feb 22 '16 at 19:10
$begingroup$
Hey the dictionary definition, " the price at which something is offered for sale" source shows that it is the final price at which products are sold, so it must include the taxes, isn't it? Sorry I am a lil confused
$endgroup$
– Solace
Feb 22 '16 at 23:55
$begingroup$
Actually I just added a question here
$endgroup$
– Solace
Feb 22 '16 at 23:59
add a comment |
$begingroup$
The other answers are correct but don't answer the question
Where did I go wrong?
Your problem is here:
10 = (GST / 8800) * 100
That says GST is 10 percent of 8800. but it's not. GST is 10 percent of the original price. You don't know that (yet) which is what makes the problem a little tricky.
You can see your mistake more clearly if you imagine a more extreme situation. Suppose the phone cost $1000 including a 100% sales tax ...
Stick with the method the other answers teach.
answered Feb 22 '16 at 18:58
Ethan BolkerEthan Bolker
43.1k551114
$endgroup$
The other answers are correct but don't answer the question
Where did I go wrong?
Your problem is here:
10 = (GST / 8800) * 100
That says GST is 10 percent of 8800. but it's not. GST is 10 percent of the original price. You don't know that (yet) which is what makes the problem a little tricky.
You can see your mistake more clearly if you imagine a more extreme situation. Suppose the phone cost $1000 including a 100% sales tax ...
Stick with the method the other answers teach.
answered Feb 22 '16 at 18:58
Ethan BolkerEthan Bolker
43.1k551114
answered Feb 22 '16 at 18:58
Ethan BolkerEthan Bolker
43.1k551114
answered Feb 22 '16 at 18:58
Ethan BolkerEthan Bolker
43.1k551114
answered Feb 22 '16 at 18:58
Ethan BolkerEthan Bolker
43.1k551114
43.1k551114
$begingroup$
Hi, firstly thank you very much for explaining it. Secondly, in the book I have, it is written, "General Sales Tax is imposed by the Government on the percentage of the selling prices of things." So I took it as the Sale Price (the one the customer pays to buy the product). Are you sure it is calculated on the cost/buying/original price?
$endgroup$
– Solace
Feb 22 '16 at 19:06
1
$begingroup$
@Solace You're welcome. I'm quite sure that "selling price" means the price of the item before tax is computed. I can understand how taking it the other way is literally true, but it would be weird in practice. Take comfort in the fact that your mistake wasn't in the mathematics, it was in reading the problem without knowing the correct idiom.
$endgroup$
– Ethan Bolker
Feb 22 '16 at 19:10
$begingroup$
Hey the dictionary definition, " the price at which something is offered for sale" source shows that it is the final price at which products are sold, so it must include the taxes, isn't it? Sorry I am a lil confused
$endgroup$
– Solace
Feb 22 '16 at 23:55
$begingroup$
Actually I just added a question here
$endgroup$
– Solace
Feb 22 '16 at 23:59
add a comment |
$begingroup$
Hi, firstly thank you very much for explaining it. Secondly, in the book I have, it is written, "General Sales Tax is imposed by the Government on the percentage of the selling prices of things." So I took it as the Sale Price (the one the customer pays to buy the product). Are you sure it is calculated on the cost/buying/original price?
$endgroup$
– Solace
Feb 22 '16 at 19:06
1
$begingroup$
@Solace You're welcome. I'm quite sure that "selling price" means the price of the item before tax is computed. I can understand how taking it the other way is literally true, but it would be weird in practice. Take comfort in the fact that your mistake wasn't in the mathematics, it was in reading the problem without knowing the correct idiom.
$endgroup$
– Ethan Bolker
Feb 22 '16 at 19:10
$begingroup$
Hey the dictionary definition, " the price at which something is offered for sale" source shows that it is the final price at which products are sold, so it must include the taxes, isn't it? Sorry I am a lil confused
$endgroup$
– Solace
Feb 22 '16 at 23:55
$begingroup$
Actually I just added a question here
$endgroup$
– Solace
Feb 22 '16 at 23:59
$begingroup$
Hi, firstly thank you very much for explaining it. Secondly, in the book I have, it is written, "General Sales Tax is imposed by the Government on the percentage of the selling prices of things." So I took it as the Sale Price (the one the customer pays to buy the product). Are you sure it is calculated on the cost/buying/original price?
$endgroup$
– Solace
Feb 22 '16 at 19:06
$begingroup$
Hi, firstly thank you very much for explaining it. Secondly, in the book I have, it is written, "General Sales Tax is imposed by the Government on the percentage of the selling prices of things." So I took it as the Sale Price (the one the customer pays to buy the product). Are you sure it is calculated on the cost/buying/original price?
$endgroup$
– Solace
Feb 22 '16 at 19:06
1
1
$begingroup$
@Solace You're welcome. I'm quite sure that "selling price" means the price of the item before tax is computed. I can understand how taking it the other way is literally true, but it would be weird in practice. Take comfort in the fact that your mistake wasn't in the mathematics, it was in reading the problem without knowing the correct idiom.
$endgroup$
– Ethan Bolker
Feb 22 '16 at 19:10
$begingroup$
@Solace You're welcome. I'm quite sure that "selling price" means the price of the item before tax is computed. I can understand how taking it the other way is literally true, but it would be weird in practice. Take comfort in the fact that your mistake wasn't in the mathematics, it was in reading the problem without knowing the correct idiom.
$endgroup$
– Ethan Bolker
Feb 22 '16 at 19:10
$begingroup$
Hey the dictionary definition, " the price at which something is offered for sale" source shows that it is the final price at which products are sold, so it must include the taxes, isn't it? Sorry I am a lil confused
$endgroup$
– Solace
Feb 22 '16 at 23:55
$begingroup$
Hey the dictionary definition, " the price at which something is offered for sale" source shows that it is the final price at which products are sold, so it must include the taxes, isn't it? Sorry I am a lil confused
$endgroup$
– Solace
Feb 22 '16 at 23:55
$begingroup$
Actually I just added a question here
$endgroup$
– Solace
Feb 22 '16 at 23:59
$begingroup$
Actually I just added a question here
$endgroup$
– Solace
Feb 22 '16 at 23:59
add a comment |
$begingroup$
Suppose the price is $;x;$, so
$$x+frac{10}{100}x=xcdot(1.1)=8800implies x=frac{8800}{1.1}=8000$$
answered Feb 22 '16 at 18:52
DonAntonioDonAntonio
178k1494230
$endgroup$
add a comment |
$begingroup$
Suppose the price is $;x;$, so
$$x+frac{10}{100}x=xcdot(1.1)=8800implies x=frac{8800}{1.1}=8000$$
answered Feb 22 '16 at 18:52
DonAntonioDonAntonio
178k1494230
$endgroup$
add a comment |
$begingroup$
Suppose the price is $;x;$, so
$$x+frac{10}{100}x=xcdot(1.1)=8800implies x=frac{8800}{1.1}=8000$$
answered Feb 22 '16 at 18:52
DonAntonioDonAntonio
178k1494230
$endgroup$
Suppose the price is $;x;$, so
$$x+frac{10}{100}x=xcdot(1.1)=8800implies x=frac{8800}{1.1}=8000$$
answered Feb 22 '16 at 18:52
DonAntonioDonAntonio
178k1494230
answered Feb 22 '16 at 18:52
DonAntonioDonAntonio
178k1494230
answered Feb 22 '16 at 18:52
DonAntonioDonAntonio
178k1494230
answered Feb 22 '16 at 18:52
DonAntonioDonAntonio
178k1494230
178k1494230
add a comment |
add a comment |
$begingroup$
Here's a hint: $$x+frac{x}{10}=8800$$
answered Feb 22 '16 at 18:52
Bobson DugnuttBobson Dugnutt
8,54831939
$endgroup$
add a comment |
$begingroup$
Here's a hint: $$x+frac{x}{10}=8800$$
answered Feb 22 '16 at 18:52
Bobson DugnuttBobson Dugnutt
8,54831939
$endgroup$
add a comment |
$begingroup$
Here's a hint: $$x+frac{x}{10}=8800$$
answered Feb 22 '16 at 18:52
Bobson DugnuttBobson Dugnutt
8,54831939
$endgroup$
Here's a hint: $$x+frac{x}{10}=8800$$
answered Feb 22 '16 at 18:52
Bobson DugnuttBobson Dugnutt
8,54831939
answered Feb 22 '16 at 18:52
Bobson DugnuttBobson Dugnutt
8,54831939
answered Feb 22 '16 at 18:52
Bobson DugnuttBobson Dugnutt
8,54831939
answered Feb 22 '16 at 18:52
Bobson DugnuttBobson Dugnutt
8,54831939
8,54831939
add a comment |
add a comment |
$begingroup$
You just didn't compute the 10% of the original price...
answered Feb 22 '16 at 18:55
Marco DisceMarco Disce
1,3991216
$endgroup$
add a comment |
$begingroup$
You just didn't compute the 10% of the original price...
answered Feb 22 '16 at 18:55
Marco DisceMarco Disce
1,3991216
$endgroup$
add a comment |
$begingroup$
You just didn't compute the 10% of the original price...
answered Feb 22 '16 at 18:55
Marco DisceMarco Disce
1,3991216
$endgroup$
You just didn't compute the 10% of the original price...
answered Feb 22 '16 at 18:55
Marco DisceMarco Disce
1,3991216
answered Feb 22 '16 at 18:55
Marco DisceMarco Disce
1,3991216
answered Feb 22 '16 at 18:55
Marco DisceMarco Disce
1,3991216
answered Feb 22 '16 at 18:55
Marco DisceMarco Disce
1,3991216
1,3991216
add a comment |
add a comment |
$begingroup$
HINT
$$
SP=OP+GST=OPtimes Big(1+underbrace{frac{GST}{OP}}_{=10%}Big)
$$
answered Feb 22 '16 at 19:06
alexjoalexjo
12.4k1430
$endgroup$
$begingroup$
Thanks. I thought GST was calculated on Sale Price.
$endgroup$
– Solace
Feb 22 '16 at 19:07
add a comment |
$begingroup$
HINT
$$
SP=OP+GST=OPtimes Big(1+underbrace{frac{GST}{OP}}_{=10%}Big)
$$
answered Feb 22 '16 at 19:06
alexjoalexjo
12.4k1430
$endgroup$
$begingroup$
Thanks. I thought GST was calculated on Sale Price.
$endgroup$
– Solace
Feb 22 '16 at 19:07
add a comment |
$begingroup$
HINT
$$
SP=OP+GST=OPtimes Big(1+underbrace{frac{GST}{OP}}_{=10%}Big)
$$
answered Feb 22 '16 at 19:06
alexjoalexjo
12.4k1430
$endgroup$
HINT
$$
SP=OP+GST=OPtimes Big(1+underbrace{frac{GST}{OP}}_{=10%}Big)
$$
answered Feb 22 '16 at 19:06
alexjoalexjo
12.4k1430
answered Feb 22 '16 at 19:06
alexjoalexjo
12.4k1430
answered Feb 22 '16 at 19:06
alexjoalexjo
12.4k1430
answered Feb 22 '16 at 19:06
alexjoalexjo
12.4k1430
12.4k1430
$begingroup$
Thanks. I thought GST was calculated on Sale Price.
$endgroup$
– Solace
Feb 22 '16 at 19:07
add a comment |
$begingroup$
Thanks. I thought GST was calculated on Sale Price.
$endgroup$
– Solace
Feb 22 '16 at 19:07
$begingroup$
Thanks. I thought GST was calculated on Sale Price.
$endgroup$
– Solace
Feb 22 '16 at 19:07
$begingroup$
Thanks. I thought GST was calculated on Sale Price.
$endgroup$
– Solace
Feb 22 '16 at 19:07
add a comment |
$begingroup$
SP = Selling price = $y$
OP = Original price = $x$
SP = OP + GST of OP
y = x + GST X
$y = x + 0.18 x$ (where GST is 18% = 0.18)
$y = x (1+0.18)$
$y = x (1.18)$
We need to know the price $x$
$x = y/1.18$
e.g.
$SP = 118$
$OP = ?$
$x = 118/1.18$
$x = 100$
edited Apr 11 '18 at 6:53
jvdhooft
5,46061641
answered Apr 11 '18 at 6:34
Rajesh KRajesh K
1
$endgroup$
add a comment |
$begingroup$
SP = Selling price = $y$
OP = Original price = $x$
SP = OP + GST of OP
y = x + GST X
$y = x + 0.18 x$ (where GST is 18% = 0.18)
$y = x (1+0.18)$
$y = x (1.18)$
We need to know the price $x$
$x = y/1.18$
e.g.
$SP = 118$
$OP = ?$
$x = 118/1.18$
$x = 100$
edited Apr 11 '18 at 6:53
jvdhooft
5,46061641
answered Apr 11 '18 at 6:34
Rajesh KRajesh K
1
$endgroup$
add a comment |
$begingroup$
SP = Selling price = $y$
OP = Original price = $x$
SP = OP + GST of OP
y = x + GST X
$y = x + 0.18 x$ (where GST is 18% = 0.18)
$y = x (1+0.18)$
$y = x (1.18)$
We need to know the price $x$
$x = y/1.18$
e.g.
$SP = 118$
$OP = ?$
$x = 118/1.18$
$x = 100$
edited Apr 11 '18 at 6:53
jvdhooft
5,46061641
answered Apr 11 '18 at 6:34
Rajesh KRajesh K
1
$endgroup$
SP = Selling price = $y$
OP = Original price = $x$
SP = OP + GST of OP
y = x + GST X
$y = x + 0.18 x$ (where GST is 18% = 0.18)
$y = x (1+0.18)$
$y = x (1.18)$
We need to know the price $x$
$x = y/1.18$
e.g.
$SP = 118$
$OP = ?$
$x = 118/1.18$
$x = 100$
edited Apr 11 '18 at 6:53
jvdhooft
5,46061641
answered Apr 11 '18 at 6:34
Rajesh KRajesh K
1
edited Apr 11 '18 at 6:53
jvdhooft
5,46061641
edited Apr 11 '18 at 6:53
jvdhooft
5,46061641
edited Apr 11 '18 at 6:53
jvdhooft
5,46061641
5,46061641
answered Apr 11 '18 at 6:34
Rajesh KRajesh K
1
answered Apr 11 '18 at 6:34
Rajesh KRajesh K
1
answered Apr 11 '18 at 6:34
Rajesh KRajesh K
1
1
add a comment |
add a comment |
$begingroup$
It is very simple question,
Steps:
1) let us assume X as the actual price.
2) so the total amount is X(actual price)+18%(of the actual price)=2065
X+18%(X)=2065
that is equal to, X+0.18X=2065
ie, X(1+0.18)=2065
1.18X=2065
therefore, X=2065/1.18
hence X=1750
answered Jan 13 at 12:27
Saeed AnsariSaeed Ansari
1
$endgroup$
$begingroup$
Welcome to Mathematics Stack Exchange community! The quick tour will help you get the most benefit from your time here. Also, please use MathJax for your equations.
$endgroup$
– dantopa
Jan 13 at 17:04
add a comment |
$begingroup$
It is very simple question,
Steps:
1) let us assume X as the actual price.
2) so the total amount is X(actual price)+18%(of the actual price)=2065
X+18%(X)=2065
that is equal to, X+0.18X=2065
ie, X(1+0.18)=2065
1.18X=2065
therefore, X=2065/1.18
hence X=1750
answered Jan 13 at 12:27
Saeed AnsariSaeed Ansari
1
$endgroup$
$begingroup$
Welcome to Mathematics Stack Exchange community! The quick tour will help you get the most benefit from your time here. Also, please use MathJax for your equations.
$endgroup$
– dantopa
Jan 13 at 17:04
add a comment |
$begingroup$
It is very simple question,
Steps:
1) let us assume X as the actual price.
2) so the total amount is X(actual price)+18%(of the actual price)=2065
X+18%(X)=2065
that is equal to, X+0.18X=2065
ie, X(1+0.18)=2065
1.18X=2065
therefore, X=2065/1.18
hence X=1750
answered Jan 13 at 12:27
Saeed AnsariSaeed Ansari
1
$endgroup$
It is very simple question,
Steps:
1) let us assume X as the actual price.
2) so the total amount is X(actual price)+18%(of the actual price)=2065
X+18%(X)=2065
that is equal to, X+0.18X=2065
ie, X(1+0.18)=2065
1.18X=2065
therefore, X=2065/1.18
hence X=1750
answered Jan 13 at 12:27
Saeed AnsariSaeed Ansari
1
answered Jan 13 at 12:27
Saeed AnsariSaeed Ansari
1
answered Jan 13 at 12:27
Saeed AnsariSaeed Ansari
1
answered Jan 13 at 12:27
Saeed AnsariSaeed Ansari
1
1
$begingroup$
Welcome to Mathematics Stack Exchange community! The quick tour will help you get the most benefit from your time here. Also, please use MathJax for your equations.
$endgroup$
– dantopa
Jan 13 at 17:04
add a comment |
$begingroup$
Welcome to Mathematics Stack Exchange community! The quick tour will help you get the most benefit from your time here. Also, please use MathJax for your equations.
$endgroup$
– dantopa
Jan 13 at 17:04
$begingroup$
Welcome to Mathematics Stack Exchange community! The quick tour will help you get the most benefit from your time here. Also, please use MathJax for your equations.
$endgroup$
– dantopa
Jan 13 at 17:04
$begingroup$
Welcome to Mathematics Stack Exchange community! The quick tour will help you get the most benefit from your time here. Also, please use MathJax for your equations.
$endgroup$
– dantopa
Jan 13 at 17:04
add a comment |
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$begingroup$
I can't understand your one before the last equation: $;1%;$ price = $;frac{8800}{100};?$ By the way, your result is correct. The first part is wrong because to add ten percent to a quantity is not the same as to substract ten percent to the obtained quantity, meaning: if $;y;$ is $;x;$ plus ten percent of x, then it is not true that $;x=y-$ ten percent of y.
$endgroup$
– DonAntonio
Feb 22 '16 at 18:53