Let the money alleli initially had be x
Money after buying clothes = x-(1/2)x=(1/2)x
Money spent on shoes = (1/2)x × (1/3)x=(1/6)x
Remaining money = x minus( (1/2)x + (1/6)x)= (1/3)x
Also we know the remaining money is 1000
Therefore
(1/3)x = 1000
Multiplying 3 on both sides
X = 3×1000
X = 3000
The initial amount she had is 3000
Hope this is right!!