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25 Jun 2017, 04:10
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
68% (01:29) correct
32%
(01:33)
wrong
based on 605
sessions
History
Date
Time
Result
Not Attempted Yet
A nut-mix contains peanuts and cashews. Cashews are more expensive than peanuts by what percentage?
(1) The nut-mix contains 10% peanuts.
(2) The nut-mix costs 20% more than pure peanuts.
(1) The nut-mix contains 10% peanuts.
(2) The nut-mix costs 20% more than pure peanuts.
25 Jun 2017, 14:40
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IMO: C
1) 10% Peanut in nut mix.
- Obviously, we will know the nut mix is composed of 10% Peanut and 90% Cashews but it is still insufficient.
2) Nut mix is 20% more expensive than pure peanut.
-We will know that the nut mix of X% of peanut and Y% of cashews are 20% more expensive than peanut and we can set up equation such as X%+Y%=120% of Pure Peanut. But we do not know X and Y hence we can not solve the equation.
1) + 2) Combine
- Nut mix of 10% peanut and 90% cashews are 20% more expensive than pure peanuts.
We can set up 0.1P + 0.9C = 1.2P ---> 0.9C = 1.1P --> 9C = 11P ---> C = 11/9P ---> C= 1.222222P
So we know Cashew is about 20.222% more expensive than Peanut.
1) 10% Peanut in nut mix.
- Obviously, we will know the nut mix is composed of 10% Peanut and 90% Cashews but it is still insufficient.
2) Nut mix is 20% more expensive than pure peanut.
-We will know that the nut mix of X% of peanut and Y% of cashews are 20% more expensive than peanut and we can set up equation such as X%+Y%=120% of Pure Peanut. But we do not know X and Y hence we can not solve the equation.
1) + 2) Combine
- Nut mix of 10% peanut and 90% cashews are 20% more expensive than pure peanuts.
We can set up 0.1P + 0.9C = 1.2P ---> 0.9C = 1.1P --> 9C = 11P ---> C = 11/9P ---> C= 1.222222P
So we know Cashew is about 20.222% more expensive than Peanut.
General Discussion
25 Jun 2017, 04:25
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We need to find how much more do cashews cost, when compared to the peanuts.
(1) The nut-mix contains 10% peanuts.
Consider the weight of nut-mix, to be 100 grams.
Weight of cashew : 90gm
Weight of peanuts : 10gm
Ratio of weight(Cashew : Peanuts) = 9:1
Since we do not know the cost of the cashew, or peanuts.
We cannot find how much costlier are the peanuts. Insufficient.
(2) The nut-mix costs 20% more than pure peanuts.
Cost of nut-mix is 120$, when compared to the 100$ peanuts caused.
Since we do not know how much of the nut-mix is peanuts, we cannot clearly tell
how much more are the cashew, when compared to the peanuts. Insufficient.
On combining both the statements, we can clearly tell by what percent the cashews are costlier.
Sufficient (Option C)
(1) The nut-mix contains 10% peanuts.
Consider the weight of nut-mix, to be 100 grams.
Weight of cashew : 90gm
Weight of peanuts : 10gm
Ratio of weight(Cashew : Peanuts) = 9:1
Since we do not know the cost of the cashew, or peanuts.
We cannot find how much costlier are the peanuts. Insufficient.
(2) The nut-mix costs 20% more than pure peanuts.
Cost of nut-mix is 120$, when compared to the 100$ peanuts caused.
Since we do not know how much of the nut-mix is peanuts, we cannot clearly tell
how much more are the cashew, when compared to the peanuts. Insufficient.
On combining both the statements, we can clearly tell by what percent the cashews are costlier.
Sufficient (Option C)
