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Joseph bought two varieties of rice, costing 5 cents per oun
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14 Apr 2019, 10:26
14 Apr 2019, 10:26
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Question Stats:
62% (02:28) correct
37% (02:42) wrong based on 27 sessions
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Joseph bought two varieties of rice, costing 5 cents per ounce and 6 cents per ounce each, and mixed them in some ratio. Then he sold the mixture at 7 cents per ounce, making a profit of 20 percent. What was the ratio of the mixture?
(A) 1 : 10
(B) 1 : 5
(C) 2 : 7
(D) 3 : 8
(E) 5 : 7
(A) 1 : 10
(B) 1 : 5
(C) 2 : 7
(D) 3 : 8
(E) 5 : 7
Re: Joseph bought two varieties of rice, costing 5 cents per oun
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16 May 2019, 01:07
16 May 2019, 01:07
can someone pls explain this? thanks!!
Re: Joseph bought two varieties of rice, costing 5 cents per oun
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16 May 2019, 05:10
16 May 2019, 05:10
1
Expert Reply
The question is tricky but not that much.
if you do have in mind the weighted average concept is not difficult
We purchased 5x+6y of rice and this must be 20% more (for having a profit) and the result is the after mixture 7(x+y)
(5x+6y) * 1.2 = 7(x+y)
Doing this simple calculation we will end up with
y = 5x
So
\(\frac{x}{y}=\frac{1}{5}\)
That is our ration and the answer is B
Ask if you do need further explanation
Regards
if you do have in mind the weighted average concept is not difficult
We purchased 5x+6y of rice and this must be 20% more (for having a profit) and the result is the after mixture 7(x+y)
(5x+6y) * 1.2 = 7(x+y)
Doing this simple calculation we will end up with
y = 5x
So
\(\frac{x}{y}=\frac{1}{5}\)
That is our ration and the answer is B
Ask if you do need further explanation
Regards
