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

Question

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

PiyushK · Accepted Answer

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.

Bunuel · Answer

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

Answer: D.

PareshGmat · Answer

Did using allegation method:

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

paandey · Answer

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

PareshGmat · Answer

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

arunspanda · Answer

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)

Manick9 · Answer

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.

srikanth9502 · Answer

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

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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%

Prep Toolkit

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