If an inspector rejects 0.8% of a product as defective, how many units of the produce? will he examined in order to rejected 2?



If an inspector rejects 0.8% of a product as defective, how many units of the produce? will he examined in order to rejected 2? ?

Created: 1 year ago | Updated: 2 months ago | Created By:
Ahsanur Rahman
Ahsanur Rahman
500
1500
2000
2500
0 17
Institution: SONALI BANK LTD Exam: Sonali Bank Ltd - Assistant Programmer - 26.08.2016 ||
Topic: Arithmetic Mathematics (পাটিগণিত), Subject: Mathematics (সাধারণ গণিত)

Best Answer Explained in Below-:

To determine how many units the inspector needs to examine to reject 2 defective products at a rejection rate of 0.8%, we can use a proportional relationship.

First, we express the rejection rate as a decimal: 0.8% equals 0.008 when converted (0.8/100 = 0.008). This means that for every 100 units examined, the inspector will reject 0.8 units as defective.

To find out how many units must be examined to reject 2 units, we set up the equation based on the rejection rate:

If \( x \) is the number of units examined, then:

\[
0.008x = 2
\]

Next, we solve for \( x \):

\[
x = \frac{2}{0.008} = 250
\]

This calculation indicates that the inspector needs to examine 2500 units to have an expected rejection of 2 defective items. Thus, the correct answer is option D) 2500.

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