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# In the manufacture of a certain product, 5 percent of the units produc

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Math Expert
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In the manufacture of a certain product, 5 percent of the units produc  [#permalink]

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20 Nov 2015, 01:38
00:00

Difficulty:

5% (low)

Question Stats:

86% (01:01) correct 14% (01:56) wrong based on 88 sessions

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In the manufacture of a certain product, 5 percent of the units produced are defective and 4 percent of the defective units are shipped for sale. What percent of the units produced are defective units that are shipped for sale?

(A) 0.125%
(B) 0.2%
(C) 0.8%
(D) 1.25%
(E) 2.0%

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Re: In the manufacture of a certain product, 5 percent of the units produc  [#permalink]

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20 Nov 2015, 02:38
Answer should be B - Let say total products = 1000
Defective products = 5 % of 1000 = 50
Defective products shipped for sale 4% of 50 = 2
Percent of the units produced are defective units that are shipped for sale = $$\frac{2}{1000} * 100$$ = 0.2
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Re: In the manufacture of a certain product, 5 percent of the units produc  [#permalink]

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20 Nov 2015, 02:41
Percent of defective produced = 5%
Percent of the defective units that are shipped for sale = 4%
Percent of units produced are defective units that are shipped for sale = (4/100)*(5/100)*100%
= (20/10000)*100%
= (20/100)%
= .2 %

Alternatively , let total number of units produced = 1000
Number of defective units produced = (5/100)*1000 = 50
Number of defective units shipped for sale =(4/100)* 50 = 2

Percent of units produced are defective units that are shipped for sale= (2/1000)*100% = = .2 %
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Re: In the manufacture of a certain product, 5 percent of the units produc  [#permalink]

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20 Nov 2015, 11:20
Bunuel wrote:
In the manufacture of a certain product, 5 percent of the units produced are defective

Let 100 units are produced
5 products are defective

Bunuel wrote:
4 percent of the defective units are shipped for sale.What percent of the units produced are defective units that are shipped for sale?

Number of defective items shipped for sale is 5*4% = 0.2

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Re: In the manufacture of a certain product, 5 percent of the units produc  [#permalink]

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20 Nov 2015, 12:41
.05T(total units) = D(defective)
.04D= S(shipped)

D=S/.04
.05T=S/.04

.002T=S

.002 *100 = .2%

Ans B
Re: In the manufacture of a certain product, 5 percent of the units produc   [#permalink] 20 Nov 2015, 12:41
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