OK sup man. 50% is spent on the crystal vase, leaving with 50%. SO 20% of the remaining money is spent on a hat, leaving $640 (80%).
so for part a, they are asking the percentage of the original sum spent on the hat. SO $640/8=$80 (10%). then 80 multiply by 2 = 160$. DONE.
for part b, the percentage of money left would be 80 multiply by 10 would be 800$ (50% of the ORIGINAL SUM). so then you multiply by 2 to get the original sum (1600$). therefore, 640/1600 multiply by 100 = 40%.
part c (ans is above)
hope this helps man
hat: 20% of 50% = 10%
left: 80% of 50% = 40%
40% => $640
100% => 640/40 x 100 = $1600
FI answer is right... OJP answer very confusing, dunno what he talking...