First, break this problem into 2 parts.
30% discount means its price is now 70% of the 100%.
65 * 0.7 = 45.5
After the first discount: $45.50
We want to increase the price 100% (to get 45.50) then another 25% (as the problem asks). 100 + 25 = 125%.
45.5 * 1.25 = 56.875
$56.86 was the price after the discounts and increases.