Question

There are 25 radios, 16 of them are out of order. What percent of radios are out of order?

Answer 1

Hint: The total number of radios and the number of radios that are out of order are 25 and 16 respectively. For the percentage of the radios that are out of order, use the formula,
\[\dfrac{no.\,of\,radios\,that\,are\,out\,of\,order}{total\,no.\,of\,radios}\times 100\] . Now, solve it further and get the percentage of radios that are out of order.

Complete step by step answer:
According to the question, it is given that we have 25 radios and 16 of them are out of order.
The total number of radios = 25 ……………………………………(1)
The number of radios that are out of order = 16 ……………………………………………(2)
Now, from equation (1) and equation (2), we get
The number of radios that are not out of order = \[25-16=9\] …………………………………….(3)
In the question, we have been asked to find the percentage of the radios that are out of order. So, we can write the formula as
For the percentage of the radios that are out of the order =
\[\dfrac{no.\,of\,radios\,that\,are\,out\,of\,order}{total\,no.\,of\,radios}\times 100\] ………………………………………………….(4)
From equation (1), and equation (2), we have the total number of radios and the number of radios that are not out of order.
Now, from equation (1), equation (2), and equation (4), we get
The percentage of the radios that are out of the order = \[\dfrac{16}{25}\times 100=64\] .

Therefore, the percentage of radios that are out of order is 64%.

Note: In this question, while calculating the percentage, one might take the number of radios that are out of the order equal to 9. This is wrong because the number of radios that are out of order is 16. Therefore, while calculating the percentage, one must take the number of radios that are out of the order equal to 16.