So here, we are starting with two numbers: the original price, and the price after the percent increase.
First, we need to find the differences between the prices to figure out how much of a difference the percent made. $181.09 - $102.30 = $78.79
$78.79 is how much money the original price was increased by. We can find the percent change using this, since this number is what percent of the original price went up.
Let be the random variable denoting the number of girls that are born. Then has a binomial distribution on babies and probability of getting a girl . The probability we want is