Question

A shop has $ 500 $ parts, out of which $ 5 $ are defective. What percentage are defective?

Answer 1

Hint: In the above question, we are given that we had a shop with some total parts out of which some are defective. So, we want to know how much percent of the total parts are defective. So, use the formula for percentage which is dividing the number of defective parts with the total parts and then multiplying with hundred.

Complete step by step solution:
To find the percentage, we have to know about what is percentage and what is the formula for finding the percentage?
Percentage is used to measure the proportion of a value in terms of original value.
In the respective question, we are provided that the shop had $ 500 $ parts. So, the total outcomes will be $ 500 $ and out of which $ 5 $ are defective. While we have to find the percentage of the defectives. Hence, favored outcomes for the part to be defective is $ 5 $ .
So, finding the percentage
 $ \% $ of defective = $ \dfrac{5}{{500}} \times 100\% $
 $ = 1\% $
Hence, the percentage for the defective is $ 1\% $
So, the correct answer is “ $ 1\% $ ”.

Note: Read the question carefully, while solving the percentage question as in some questions the examiner tries to confuse the student by asking to calculate the percentage of the non-defective parts. For such questions, firstly calculate the number of non-defective parts and then the same steps as above. After solving, use the symbol for percentage (%), it is compulsory for such questions.