A lady went shopping and spent half of what she had on buying hankies and gave a rupee to a begger waiting outside the shop. She spent half of what was left on a lunch and followed that up with a two rupee tip. She spent half of the remaining amount on book and three rupees on bus fare.
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I suppose your question is how much is she left with.
Let initial amount = x
1) half amount spent. Left: x/2
2) 1 rupee to beggar. Left: x/2 - 1 = (x+2)/2
3) half of what is left is spent. Left: [(x+2)/2]/2
= (x+2)/4
4) ₹2 tip. Left: [(x+2)/4] -2 = (x-6)/4
5) half amount spent. Left: [(x-6)/4]/2 = (x-6)/8
6) ₹3 on bus fare. Left: [(x-6)/8] -3 = (x-30)/8
Ans: (x-30)/8
Let initial amount = x
1) half amount spent. Left: x/2
2) 1 rupee to beggar. Left: x/2 - 1 = (x+2)/2
3) half of what is left is spent. Left: [(x+2)/2]/2
= (x+2)/4
4) ₹2 tip. Left: [(x+2)/4] -2 = (x-6)/4
5) half amount spent. Left: [(x-6)/4]/2 = (x-6)/8
6) ₹3 on bus fare. Left: [(x-6)/8] -3 = (x-30)/8
Ans: (x-30)/8
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