Arun and Shreya can do a piece of work in 20 days and 25 days respectively. They began working together but Arun leaves the work after X days and Shreya complete the remanding work in 7 days. If instead of Arun, Shreya had left the work after X days. Find the ratio of numbers it would Arun to finish the remaining work to the number of days in which Shreya finished the remaining work?
A. 8/5
B. 4/9
C. 5/6
D. 4/5
E. 6/7
Arun does 5% work per day and shreya does 4% work per day.
Together they do 9% work per day.
In seven days, Shreya does 28% work.
Hence Arun and Shreya must have completed 72% work when they worked together.This implies that Arun left after working for 8Days.
If Shreya had left the work after 8 days, Arun would have taken 28/5 days to complete the work.
Required ratio= 28/(5*7)=4/5
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