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# Joseph bought two varieties of rice, costing 5 cents per oun

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Joseph bought two varieties of rice, costing 5 cents per oun [#permalink]  14 Apr 2019, 10:26
Expert's post
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Question Stats:

100% (03:04) correct 0% (00:00) wrong based on 2 sessions
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
[Reveal] Spoiler: OA

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Re: Joseph bought two varieties of rice, costing 5 cents per oun [#permalink]  16 May 2019, 01:07
can someone pls explain this? thanks!!
Founder
Joined: 18 Apr 2015
Posts: 7021
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Kudos [?]: 1371 [0], given: 6384

Re: Joseph bought two varieties of rice, costing 5 cents per oun [#permalink]  16 May 2019, 05:10
Expert's post
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
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Re: Joseph bought two varieties of rice, costing 5 cents per oun   [#permalink] 16 May 2019, 05:10
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