Question

To get a driver’s license, an applicant must pass a written test and a driving test. Past records show that 80% of the applicants pass the written test and 60% of those who have passed the written test pass the driving test. Based on these figures, how many applicants in a random group of 1,000 applicants would you expect to get driver’s licenses?
A) 200
B) 480
C) 600
D) 750
E) 800

Answer 1

Hint:
We know about the meaning of percent. Percent means out of one hundred, for example: 80% is equal to $\dfrac{{80}}{{100}}$. Find the applicants who get the driving licenses. Such as firstly knowing the 80% out of 1,000 means $\dfrac{{80}}{{100}} \times 1,000$.

Complete step by step solution:
The total number of applicants is 1,000.
We can evaluate the number of applicants who passed the written test as they are 80% of 1,000 as shown below,
${\rm{n}} = \dfrac{{80}}{{100}} \times 1,000\\
 = 0.8 \times 1,000\\
 = 800$
Hence, the applicants who passed the written test from the above result are 800.
The applicants who passed the written test as well as driving test and got the license. As we have evaluated the above result we can also evaluate the 60% of 8000 as shown below.
${\rm{N}} = \dfrac{{60}}{{100}} \times 8000\\
 = 0.8 \times 800\\
 = 480$
Hence, the applicants who get the driving licenses from the above result are 480.

Thus, from the given options only option (B) is correct.

Note:
Here you see the calculation, how to get the applicants who get the driving licenses, applicants who passed the written test and the applicants who get the driving licenses. Make sure to convert percentage in fraction form. There can be many variations of this particular question. Instead of 80 and 60 they can give any number and that will be a different question.