# Question 61b1b

Oct 7, 2016

Percent increase = 32%

#### Explanation:

First, let's evaluate what percentage of $12 , 250$ gives $16 , 170$:

$\implies \frac{12 , 250}{100} \cdot x = 16 , 170$

$\implies 122.5 x = 16 , 170$

=> x = 132%

This means that 132% of $12 , 250$ is equal to $16 , 170$.

100% of any number is equal to that number.

=> 100% of $12 , 250 = 12 , 250$

So if we added 32% of $12 , 250$ to itself, we would get $16 , 170$.

Therefore, the percent increase is 32%#.

Oct 31, 2016

Percentage increase is 32%.

#### Explanation:

Increase in number of people$=$$16170 - 12250$ $= 3920.$
$\therefore$Percentage Increase $=$
(Increase in no. of people) $\div$(Initial no. of people). $\times$100 %.
$= \frac{3920}{12250} \cdot 100$ % $= 0.32$$\times$$100$ %. $= 32$%.

$\therefore$Percentage increase is 32%. (answer).