Answer:
79.56%
Step-by-step explanation:
In year, 2019, 78% of people said they went out dancing at least one night a month.
Let number of people go for dancing be x
Let total number of people be y
Percentage of people go for dancing = [tex]\dfrac{x}{y}\times 100[/tex]
Therefore, [tex]\dfrac{x}{y}\times 100=78[/tex]
[tex]\dfrac{x}{y}=.78[/tex]
[tex]x=0.78y[/tex]
Recently, this number has increased by only 2%.
New number of people go for dancing = x + 2% of x
= [tex]x+0.02x[/tex]
= [tex]1.02x[/tex]
New percentage go for dancing in a month [tex]=\dfrac{1.02x}{y}\times 100[/tex]
[tex]=\dfrac{1.02\times 0.78y}{y}\times 100[/tex]
[tex]=79.56\%[/tex]
Hence, 79.56% of people go out dancing once a month.
