Question 342806
A lady went for 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 with a two rupee tip.
She spent half of the remaining amont 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?
:
Let x = amt started with
:
.5x - 1; remains after hankie and beggar
:
.5(.5x-1) - 2
.25x - .5 - 2
.25x - 2.5; remains after lunch
:
.5(.25x-2.5) - 3 = 1; book and bus
.125x - 1.25 - 3 = 1
.125x - 4.25 = 1
.125x = 1 + 4.25
.125x = 5.25
x = {{{5.25/.125}}}
x = 42 R, is what she started with
:
You can confirm this: after the hankie and beggar she had 20
After lunch she had 8, after the book and bus she had 1