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# In a certain shipment, x out of every y items were found to be defecti

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Math Expert
Joined: 02 Sep 2009
Posts: 51223
In a certain shipment, x out of every y items were found to be defecti  [#permalink]

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18 Feb 2018, 21:53
1
2
00:00

Difficulty:

55% (hard)

Question Stats:

61% (01:41) correct 39% (01:31) wrong based on 70 sessions

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In a certain shipment, x out of every y items were found to be defective. If 10 defective items were found in the shipment, what was the total number of items in the shipment?

(A) 10y/x
(B) 10x/y
(C) 10y
(D) 10y/(y - x)
(E) 10y/(x - y)

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Joined: 07 Jul 2012
Posts: 377
Location: India
Concentration: Finance, Accounting
GPA: 3.5
In a certain shipment, x out of every y items were found to be defecti  [#permalink]

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Updated on: 18 Feb 2018, 23:01
1
X defective items come out of Y items
1............................................$$\frac{Y}{X}$$ items

10...........................................$$\frac{Y}{X}$$*10 items

= $$\frac{10Y}{X}$$

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Kindly hit kudos if my post helps!

Originally posted by varun4s on 18 Feb 2018, 22:03.
Last edited by varun4s on 18 Feb 2018, 23:01, edited 1 time in total.
Intern
Joined: 29 Aug 2016
Posts: 33
Re: In a certain shipment, x out of every y items were found to be defecti  [#permalink]

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18 Feb 2018, 22:59
x defective items in Y..
1 defective item in Y/X
10 in 10Y/X

Hence A

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Joined: 26 Mar 2013
Posts: 1917
Re: In a certain shipment, x out of every y items were found to be defecti  [#permalink]

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19 Feb 2018, 14:07
1
Bunuel wrote:
In a certain shipment, x out of every y items were found to be defective. If 10 defective items were found in the shipment, what was the total number of items in the shipment?

(A) 10y/x
(B) 10x/y
(C) 10y
(D) 10y/(y - x)
(E) 10y/(x - y)

Let x = 10 in every y=100.....Total shipment = 100

Check choices

(A) 10y/x = 10 (100)/10 = 100........Keep
(B) 10x/y = 10 (10)/100 = 1............Eliminate
(C) 10y =1000............Eliminate
(D) 10y/(y - x) =10 (100) / 90 ............Eliminate
(E) 10y/(x - y) ............Eliminate

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Posts: 2830
Re: In a certain shipment, x out of every y items were found to be defecti  [#permalink]

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21 Feb 2018, 13:26
Bunuel wrote:
In a certain shipment, x out of every y items were found to be defective. If 10 defective items were found in the shipment, what was the total number of items in the shipment?

(A) 10y/x
(B) 10x/y
(C) 10y
(D) 10y/(y - x)
(E) 10y/(x - y)

We can create the following proportion, where n is the total number of items in the shipment:

x/y = 10/n

xn = 10y

n = 10y/x

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Re: In a certain shipment, x out of every y items were found to be defecti &nbs [#permalink] 21 Feb 2018, 13:26
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