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by quantskillsgmat » Tue Sep 06, 2011 2:28 am
in what ratio must a person mix tea costing 60/kg, 75/kg and 100/kg so that resultant mixture when sold at 96/kg yield a profit of 20 percent.
a)4:5:6
b)1:2:3
c)2:3:4
d)none
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by gmatclubmember » Tue Sep 06, 2011 3:23 am
in what ratio must a person mix tea costing 60/kg, 75/kg and 100/kg so that resultant mixture when sold at 96/kg yield a profit of 20 percent.
a)4:5:6
b)1:2:3
c)2:3:4
d)none

To obtain a profit of 20% the cost of the tea should be 80/Kg.
If u mix 75 and 100 tea in 'some' proportion u will get a tea costing 80/kg, thereby not needing to mix 60 tea altogether.
Same way if u mix 60 and 100 tea in 'some different' proportion u will get tea costing 80/kg, thereby not needing 75 tea altogether.
so the above qs may have many answers,...
1. Without mixing 60 tea
2. Without mixing 75 tea
3. Mixing all the teas.

SO I would go for D. NONE

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by shankar.ashwin » Tue Sep 06, 2011 4:26 am
While its true the answer is D, the approach mentioned above would backfire sometimes as there might be one scenario from the answer choices which would satisfy the condition to produce a tea costing 80/kg.

To ensure,

substitute the answer choices to see if they satisfy,

For Eg:,

1) 4:5:6 would be

60*4 = 240
75*5 = 375
100*6 = 600

Total Quantity = 4+5+6= 15kg
And cost = 240+375+600=1215

Therefore, Net cost per kg would be 1215/15=81/kg.

You could do the same for the 3 choices given and find none satisfy to produce a mixture which would cost 80/kg

quantskillsgmat wrote:in what ratio must a person mix tea costing 60/kg, 75/kg and 100/kg so that resultant mixture when sold at 96/kg yield a profit of 20 percent.
a)4:5:6
b)1:2:3
c)2:3:4
d)none
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by cans » Tue Sep 06, 2011 5:49 am
20% 96kg means cost should be 80/kg
60/kg means 20/kg, 75 means 5 and 100 means -20.
if we take 4:5:6 -> 80+25-120 = -something...
1:2:3 -> 20+10-60 nopes
2:3:4 -> 40+15-80. nopes.
IMO D
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by Abhishek009 » Tue Sep 06, 2011 7:26 am
quantskillsgmat wrote:in what ratio must a person mix tea costing 60/kg, 75/kg and 100/kg so that resultant mixture when sold at 96/kg yield a profit of 20 percent.
a)4:5:6
b)1:2:3
c)2:3:4
d)none
Mixture when sold at 96/kg yield a profit of 20 percent Means this is the selling price after 20% profit

Hence Cost Price is :( 96 / 120 )* 100 => 80

Then will follow the same method shown by shankar.ashwin

I willstart with easier ratio's first so , will start with option B

60 * 1 = 60

75 * 2 = 150

100 * 3 = 300


Now we add all these 150 + 300 + 60 = 510

Find out/unit cost = 510/6 => 85


Now proceed with option C and then finally with option A to get the answer....
Abhishek
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