Question

A cosmetics company tested a new lotion. Of the 2,500 people tested, 15 had an allergic reaction. What percent of the people tested did not have anallergic reaction to the new lotion?A: 0.006%B: 99.4%C: 0.6%D: 99.994%

Answer 1

Step 1 :

In this question, we were told that A cosmetics company tested a new lotion.

Of the 2,500 people tested, 15 had an allergic reaction.

What percent of the people tested did not have an allergic reaction to the new lotion?

Step 2 :

`\begin{gathered} \text{Out of 2500 people , 15 had an allergic reaction} \\ \text{Number of people that did not have an allergic reaction =} \\ 2500\text{ - 15 = 2485} \end{gathered}`
`\begin{gathered} \text{Then, the percentage of people that did not have an allergic reaction} \\ to\text{ the new reaction =} \\ (2485)/(2500)\text{ x }(100)/(1) \\ =\text{ }(248500)/(2500) \\ \end{gathered}`
`=\text{ 99. 4 \% -- OPTION B }`