In a lottery. 96. 5% of the participants did not win any prize but 700 participants won a prize. The total number of participants is:

Correct option is C

Given:

96.5% of the participants did not win any prize.

700 participants won a prize..

Solution:

Let the total number of participants be represented by ( N ).

If 96.5% of participants did not win, then 3.5% of participants won a prize (since 100% - 96.5%) = 3.5% .

According to the problem, we know that 3.5% of N is equal to 700:

​$$0.035 \times N = 700$$​​

Solving for N :

​$$N = \frac{700}{0.035}\\N = 20000$$​​

Therefore, the total number of participants is 20,000.