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

The correct option is B $480$

Total no. of applicants$=1000$
Applicants who passed written test $=80$% of $1000$
$=\frac{80}{100}\times 1000$
$=800$
(No. of applicants who get driver's license)-(No. of applicants who pass driving test)
$=60$% of applicants who pass written test
$=60$% of $800$
$=\frac{60}{100}\times 800$
$=480$