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# 10 percent of all the pigs got cholera and died.

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Joined: 03 Mar 2018
Posts: 215
10 percent of all the pigs got cholera and died.  [#permalink]

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16 Mar 2018, 07:44
00:00

Difficulty:

45% (medium)

Question Stats:

59% (02:08) correct 41% (02:04) wrong based on 28 sessions

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10 percent of all the pigs got cholera and died. And also 50 percent of the pigs that got cholera did not die. What percent of all the pigs got cholera?

(A) 20%
(B) 30%
(C) 35%
(D) 40%
(E) 45%

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Re: 10 percent of all the pigs got cholera and died.  [#permalink]

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16 Mar 2018, 07:54
itisSheldon wrote:
10 percent of all the pigs got cholera and died. And also 50 percent of the pigs that got cholera did not die. What percent of all the pigs got cholera?

(A) 20%
(B) 30%
(C) 35%
(D) 40%
(E) 45%

Assume the total number of pigs to be 200, 10% got cholera and died -> 20 pigs died.
Since 50% of the pigs that got cholera didn't die, the total pigs who got cholera must be 40

Therefore, the total percentage of pigs that got cholera is $$\frac{40}{200} = 20%$$(Option A)
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Re: 10 percent of all the pigs got cholera and died.  [#permalink]

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16 Mar 2018, 08:10
This can be done using Matrix method:
Attachments

WhatsApp Image 2018-03-16 at 21.35.08.jpeg [ 66.12 KiB | Viewed 342 times ]

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Re: 10 percent of all the pigs got cholera and died. &nbs [#permalink] 16 Mar 2018, 08:10
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