Nikhil spent 45% of the his monthly stipend on food and transport 20% of the remaining on books and half of the remaining on other expenses…

Solution
Let Nikhil's monthly stipend be equal to S.
So, monthly spend on food and transport is 0.45S
Amount remaining is S-0.45S = 0.55S
Amount spent on books is 20% of 0.55S = 0.11S
Amount remaining is 0.55S - 0.11S = 0.44S
Amount spent on other expenses is 50% of 0.44S = 0.22S
So, amount remaining is 0.44S - 0.22S = 0.22S
0.22S = 880
Hence, S = 880/0.22 = 4000
As this is not given in the options, the correct answer is option (e)

Solution
Let Nikhil's monthly stipend be equal to S.
So, monthly spend on food and transport is 0.45S
Amount remaining is S-0.45S = 0.55S
Amount spent on books is 20% of 0.55S = 0.11S
Amount remaining is 0.55S - 0.11S = 0.44S
Amount spent on other expenses is 50% of 0.44S = 0.22S
So, amount remaining is 0.44S - 0.22S = 0.22S
0.22S = 880
Hence, S = 880/0.22 = 4000
As this is not given in the options, the correct answer is option (e)