it is overall a loss

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it is overall a loss

by sanju09 » Mon Aug 02, 2010 3:10 am
If two similar items are sold, one at a gain of, say, x percent, and the other at a loss of x percent, then it is overall a loss whose percent is given by
(A) x/10
(B) (x/10) ^2
(C) x/10^2
(D) x^2/10
(E) x^2/10^3


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by pradeepkaushal9518 » Mon Aug 02, 2010 4:08 am
how it is loss suppose price is 100 and 5 % gain means 105 and 5 % loss means 95
so total cost price is 200 n sale price is 200 so it is loss

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by selango » Mon Aug 02, 2010 4:12 am
Sanju,

Are the answer options correct?

If the 2 cost prices increased and decreased by x%,there is no loss..

Let CP=100 and X=10%

10% profit=110

10% Loss=90

Total Cp=200

Total SP=200

Loss=0% or No loss
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by sanju09 » Mon Aug 02, 2010 4:16 am
pradeepkaushal9518 wrote:how it is loss suppose price is 100 and 5 % gain means 105 and 5 % loss means 95
so total cost price is 200 n sale price is 200 so it is loss
I should have made it clear what two similar items do mean in my question. For a trader, similar items are those, which raise the same revenue when sold.
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by pradeepkaushal9518 » Mon Aug 02, 2010 6:24 am
plz make it clear

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by sanju09 » Tue Aug 03, 2010 5:56 am
pradeepkaushal9518 wrote:plz make it clear
alright, read the question as under now:

If two items are sold at $d each, one at a gain of x percent, and the other at a loss of x percent, then it is overall a loss whose percent is given by
(A) x/10
(B) (x/10) ^2
(C) x/10^2
(D) x^2/10
(E) x^2/10^3


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by Vipulvp » Wed Aug 04, 2010 4:00 am
sanju09 wrote:
pradeepkaushal9518 wrote:plz make it clear
alright, read the question as under now:

If two items are sold at $d each, one at a gain of x percent, and the other at a loss of x percent, then it is overall a loss whose percent is given by
(A) x/10
(B) (x/10) ^2
(C) x/10^2
(D) x^2/10
(E) x^2/10^3


[spoiler]Source: made by me for: www.avenuesabroad.org[/spoiler]
Answer is (B). You can remember it as a formula...

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by sanju09 » Wed Aug 04, 2010 4:31 am
Vipulvp wrote:
sanju09 wrote:
pradeepkaushal9518 wrote:plz make it clear
alright, read the question as under now:

If two items are sold at $d each, one at a gain of x percent, and the other at a loss of x percent, then it is overall a loss whose percent is given by
(A) x/10
(B) (x/10) ^2
(C) x/10^2
(D) x^2/10
(E) x^2/10^3


[spoiler]Source: made by me for: www.avenuesabroad.org[/spoiler]
Answer is (B). You can remember it as a formula...
OA B

Derivation please!!
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by Abhishek009 » Wed Aug 04, 2010 4:55 am
Vipulvp wrote:
sanju09 wrote:
pradeepkaushal9518 wrote:plz make it clear
alright, read the question as under now:

If two items are sold at $d each, one at a gain of x percent, and the other at a loss of x percent, then it is overall a loss whose percent is given by
(A) x/10
(B) (x/10) ^2
(C) x/10^2
(D) x^2/10
(E) x^2/10^3


[spoiler]Source: made by me for: www.avenuesabroad.org[/spoiler]
Answer is (B). You can remember it as a formula...
Absolutely answer is B this is actually a formula....
Abhishek

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by Abhishek009 » Wed Aug 04, 2010 5:00 am
sanju09 wrote:
OA B

Derivation please!!
Here is the derivation just pasting the link : https://books.google.co.in/books?id=fELs ... &q&f=false

Check out Page number 168

Formula number 7.
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by sanju09 » Wed Aug 04, 2010 5:10 am
Abhishek009 wrote:
sanju09 wrote:
OA B

Derivation please!!
Here is the derivation just pasting the link : https://books.google.co.in/books?id=fELs ... &q&f=false

Check out Page number 168

Formula number 7.
Isn't it possible to answer it by picking few suitable set of easy going numbers for d and x and plugging those in the choices?

As we can't expect a randomly chosen test taker of knowing this formula, or going through the complex derivation part to get to it in time, hence we MUST come up with some tricks to work on the choices, though carefully.
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by selango » Wed Aug 04, 2010 5:42 am
Let the SP=120

x=20%

Gain of 20% Sp=120 Cp=100

Loss of 20% Sp=120 cp=150

total Sp=240 total Cp=250

Loss of 4%

Sub x=20 in options and check which one satisfy

(x/10)^2=20*20/100=4

Pick B
Last edited by selango on Wed Aug 04, 2010 8:25 pm, edited 1 time in total.
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by sanju09 » Wed Aug 04, 2010 8:12 pm
selango wrote:Let the SP=120

x=20%

Gain of 20% Sp=120 Cp=100

Loss of 20% Sp=120 cp=150

total Sp=240 total Cp=250

Loss of 4%

Sub x=40 in options and check which one satisfy

(x/10)^2=20*20/100=4

Pick B
yeh hui na baat, you picked absolutely suitable set of numbers to work with.

but why substitute 40?
The mind is everything. What you think you become. -Lord Buddha



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by selango » Wed Aug 04, 2010 8:26 pm
sanju09 wrote:
selango wrote:Let the SP=120

x=20%

Gain of 20% Sp=120 Cp=100

Loss of 20% Sp=120 cp=150

total Sp=240 total Cp=250

Loss of 4%

Sub x=40 in options and check which one satisfy

(x/10)^2=20*20/100=4

Pick B
yeh hui na baat, you picked absolutely suitable set of numbers to work with.

but why substitute 40?
Sorry sanju..Its x=20..edited the post..
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by aarati » Thu Aug 05, 2010 3:41 am
i still could n't get this................can someone make it clear..