Gym center

80% of all visitors to the gym center enjoy a discount. 3/4 of all visitors go to practice regularly. All visitors who go to the gym regularly benefit from a discount. What percentage of all visitors do not go to the gym regularly but still use the discount?

Correct answer:

p =  5 %

Step-by-step explanation:

$$\begin{gathered} a=80\%=\frac{80}{100}=\frac{4}{5}=0.8 \\ b=3/4=\frac{3}{4}=0.75 \\ x=\frac{a\cdot n-b\cdot n}{n} \\ x=a-b=0.8-0.75=\frac{1}{20}=0.05 \\ p=100\cdot x=100\cdot 0.05=5\% \end{gathered}$$

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