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A trader has 400kg of rice, a part of which he sells at 36%

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A trader has 400kg of rice, a part of which he sells at 36% [#permalink]

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A trader has 400kg of rice, a part of which he sells at 36% profit and the rest at 24% loss. On the whole he losses 12%. What is the quantity sold at 24% loss?

(a) 80kg
(b) 100kg
(c) 175kg
(d) 320 kg
(e) 400 kg
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Re: A trader has 400kg of rice, a part of which he sells at 36% [#permalink]

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qlx wrote:
A trader has 400kg of rice, a part of which he sells at 36% profit and the rest at 24% loss. On the whole he losses 12%. What is the quantity sold at 24% loss?

(a) 80kg
(b) 100kg
(c) 175kg
(d) 320 kg
(e) 400 kg


\(0.36*(400 - x) - 0.24*x = -0.12*400\) --> \(x=320\)

Answer: D.
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Re: A trader has 400kg of rice, a part of which he sells at 36% [#permalink]

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Did using allegation method:

Loses have been taken in -ve sign. Please refer below:
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Re: A trader has 400kg of rice, a part of which he sells at 36% [#permalink]

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New post 18 Mar 2014, 01:34
PareshGmat wrote:
Did using allegation method:

Loses have been taken in -ve sign. Please refer below:



"Could you please explain it in a bit more clear way. How did you make that number diagram ?"
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Re: A trader has 400kg of rice, a part of which he sells at 36% [#permalink]

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paandey wrote:
PareshGmat wrote:
Did using allegation method:

Loses have been taken in -ve sign. Please refer below:



"Could you please explain it in a bit more clear way. How did you make that number diagram ?"



Sure.

Out of 400, some quantity gave 36% profit & remaining gave 24% loss

Now, 24% loss means -24% profit

From here, we got the 1st row of numbers i.e 36 & -24
The Resultant is again a loss of 12% , so profit of -12%; this will come up in the 2nd row

Using rules of alligation; -12 > -24; so substracting:

- 12 - (-24) = -12 + 24 = 12

36 > -12; again substracting:

36 - (-12) = 48

This gives the 3rd row i.e 12 & 48

So, the total (12 + 48) = 60, 48 have given a loss of 24%

So, calculation will be

\(\frac{48}{(12+48)} * 400 = 320\) = Answer = C

Hope this would be helpful :)
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Re: A trader has 400kg of rice, a part of which he sells at 36% [#permalink]

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Assuming x as part of the rice the trader sells at 24% loss and cost price of rice as 100, the equation representing an overall loss of 12% is

\(136 (1-x) + 76 x = 88\)

Solving for x, we get \(x =\frac{4}{5}\)

Or,\(\frac{4}{5}\) of \(400\)kg \(= 320\) kg

Answer: (D)
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Re: A trader has 400kg of rice, a part of which he sells at 36% [#permalink]

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No need to even pick a pen for this question. Some portion is sold at 34% profit and other at 24% loss. Lets assume that 50% portion is sold at 34% profit and other 50% at loss, if that is the case then farmer should have earned some profit, but farmer is in loss therefore portion sold in loss must be above 50% that is more than 200kg and less than 400kg. Looking at the options D is the only value between 200 and 400kg.
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Re: A trader has 400kg of rice, a part of which he sells at 36% [#permalink]

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New post 08 Jun 2014, 02:32
PiyushK wrote:
No need to even pick a pen for this question. Some portion is sold at 34% profit and other at 24% loss. Lets assume that 50% portion is sold at 34% profit and other 50% at loss, if that is the case then farmer should have earned some profit, but farmer is in loss therefore portion sold in loss must be above 50% that is more than 200kg and less than 400kg. Looking at the options D is the only value between 200 and 400kg.


:-D ..Did this exactly the same way bro...
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Re: A trader has 400kg of rice, a part of which he sells at 36% [#permalink]

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Re: A trader has 400kg of rice, a part of which he sells at 36% [#permalink]

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New post 29 Jul 2016, 00:19
You can use the elimination method. The most closest answers are 320 or 175. If we sell 175kg at 24% loss we will get a profit. Therefore the correct ans is 320. No need for any calculations and you can solve the qn under 1 min.
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Re: A trader has 400kg of rice, a part of which he sells at 36% [#permalink]

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Hello from the GMAT Club BumpBot!

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Re: A trader has 400kg of rice, a part of which he sells at 36% [#permalink]

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New post 09 Aug 2017, 06:05
Mixtures and allegations

1.36 0.76

0.88

0.12 0.48


So the ratio is 0.12/0.48 = 1/4

So 4/5 (400) = 320 kg
Re: A trader has 400kg of rice, a part of which he sells at 36%   [#permalink] 09 Aug 2017, 06:05
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