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Difficulty:
45%
(medium)
Question Stats:
64% (01:38) correct
36%
(01:44)
wrong
based on 398
sessions
History
Date
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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)
_________________
(A) 10y/x
(B) 10x/y
(C) 10y
(D) 10y/(y - x)
(E) 10y/(x - y)
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• Rules: Quantitative | Verbal
X defective items come out of Y items
1............................................\(\frac{Y}{X}\) items
10...........................................\(\frac{Y}{X}\)*10 items
= \(\frac{10Y}{X}\)
Answer: A.
1............................................\(\frac{Y}{X}\) items
10...........................................\(\frac{Y}{X}\)*10 items
= \(\frac{10Y}{X}\)
Answer: A.
GMAT 1: 740 Q50 V40
Posts: 239
x defective items in Y..
1 defective item in Y/X
10 in 10Y/X
Hence A
Sent from my iPhone using GMAT Club Forum
1 defective item in Y/X
10 in 10Y/X
Hence A
Sent from my iPhone using GMAT Club Forum
Mo2men
Joined: 26 Mar 2013
Last visit: 09 May 2023
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Concentration: Operations, Strategy
Schools: Erasmus (II)
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Schools: Erasmus (II)
Posts: 2,425
Bunuel
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
Answer: A
JeffTargetTestPrep
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Last visit: 05 Jan 2024
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Expert reply
Posts: 2,973
Bunuel
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
Answer: A
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Bunuel
\(\frac{x}{y} = 10\)
So, \(x = 10y\)
Thus, \(1 = \frac{10y}{x}\), Answer must be (A)
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