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In a specific day, 15% shirts in a production facility are defective w 26 Jul 2019, 09:09
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Difficulty:

55% (hard)

Question Stats:

67% (02:04) correct 33% (02:23) wrong based on 70 sessions

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In a specific day, 15% shirts in a production facility are defective while 20% of the rest are sold in the domestic market. If the remaining 8840 shirts are left for export, then find the number of shirts produced in the production facility on that day.

A. 13600
B. 13000
C. 13400
D. 14000
E. 16500

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In a specific day, 15% shirts in a production facility are defective w 26 Jul 2019, 11:15
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15%X + 20%(85%)X+ 8840=X
==》32%X + 8840=X
==》68%X=8840
==》 X= 13000
Option B

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In a specific day, 15% shirts in a production facility are defective w 26 Jul 2019, 18:21
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Is there any shorter method rather then going through the long process of solving for the value of X ?

Please suggest
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In a specific day, 15% shirts in a production facility are defective w 29 Jul 2019, 06:31
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nivi2084
Is there any shorter method rather then going through the long process of solving for the value of X ?

Please suggest

A prefer drawing a decision tree (not strictly accurate mathematically but helpful from a process perspective) i.e. 15% are defective and then 85% are not

Out of those 85%, 20% are imported and 80% are exported. This 80% is represented by 8840.

So, 8840/(5/4). This number (whatever it is, do not need to calculate it here) represents 85% of total production so (8840/(5/4))/(100/85)

This actually cancels out neatly to 8840/(25/17) and the 17 divides well into 8840 giving 520.

520 x 25 = 13,000 (since 520/4 = 130)

Total time: 52 secs. Think that's alright for someone not that good at maths.

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