Question

A businessman purchased 600 ICs and
400 Arduinos. He discovered 15% of the
ICs and 8% of Arduinos were defective.
Find the percentage of instruments that
are in working condition.
(a) 87.8%
(b) 85%
(c) 82.8%
(d) 80.5%​

Answer 1

Answer:-

87.8%

Step-by-step explanation:

In this question

We have been given that

Businessman purchased 15% defective product in 600 ICs and 8% defective product in 400 Arduinos.

So firstly we will find no. of product that are in working condition.

Product of ICs = (number of product) - (number of product)/(defected product %)

Product of ICs = $600\ -\ \frac{600}{100}\times 15$

Product of ICs = $600\ -\ 90$

Product of ICs = 510

Similarly product of Arduinos = (number of product) -  (number of products)/(defective products)

Product of Arduinos = $400\ -\ \frac{400}{100}\times 8$

Product of Arduinos = $400\ -\ 32$

Product of Arduinos = 368

So, the total number of product in working condition = $510\ +\ 368$

  Total no.  of product in working condition = 878

and Total no. of product = 1000

Therefore, % of product in working condition = $\frac{total\ number\ of\ product\ in\ working\ condition}{total\ number\ of\ product}\times 100$

% of product in working condition = $\frac{878}{1000}\times 100$

% of product in working condition = 87.8

Hence, percentage of instruments that are in working condition 87.8%