A lady went shopping and spent half of what she had on buying hankies and gave a rupee to a better waiting outside a shop . Shw spent half of what was left on the lunch and followed that up with a tak rupee tip . She spent half of the remaining amount on a book and three rupees on bus fare. When she reached home , she found that she had exactly one rupee left. How much money did she start with?
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Answer:
22
Step-by-step explanation:
Let x be the money she stared with
= (x/2) (spent on hankier & Rs.1 to beggar money remaining)
= x ((x/2)+1)
= (x/2) - 1
= 1/2 ((x/2)-1) spent on lunch & Rs. 2 tip
= (x/2) -1 - [(1/2){(x/2)-1}+2]
= (x/4) - (5/2)
= 1/2 ((x/4) - (5/2)) on book and Rs.3 on fare.
= (x/4) - 5/2 - [1/2 ((x/4)-(5/2))+3]
= x/8 - 7/4 = 1
x/8 = 1 + (14/8)
x/8=22/8
x = 22Rs.
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