Problem Solving

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


[spoiler]Source: made by me for: www.avenuesabroad.org[/spoiler]

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

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

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.

plz make it clear

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]

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...

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!!

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....

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.

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.

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

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?

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..

i still could n't get this................can someone make it clear..