A can do a work in 15 days and b can do it in 18 days. With the help of c, all of them complete the work in 6 days. A, b and c received total rs.27,000 for the whole work. What is the share of c, if the money is distributed in the ratio of amount of work done, individually?
Answers
Answer:
Step-by-step explanation:
A can do a piece of work in 15 days while B can do it in 20 days. They work together for 6 days and the remaning work is done by C in 2 days. If they get Rs. 6500 for the whole work, what will be the B's share?
Let the Whole work be ‘1″
A takes 15 days to complete the whole work, hence A completes 1/15th of the work in 1 day.
B takes 20 days to complete the whole work, hence B completes 1/20th of the work in 1 day.
In one day A and B can together complete 1/15th+1/20th of the work, adding it up will make 7/60.
A’s work for 6 days will be 6*1/15=6/15. Similarly B’s work for 6 days will be 6/20
For 6 days the work will be 6/15+6/20=42/60.
Now, the remaining work is completed by C, Remaining work will be “Whole work less work completed by A and B together.”
That will be equal to 1–42/60, simplifying it further C has done here 18/60 of the work.
Now, Ratio between A, B and C’s work here will be 6/15:6/20:18/60, Make the denominators equal to 60. A’s work is 6/15*4/4=24/60. B’s work is 6/20*3/3=18/60.
Ratio between A, B and C will be = 24/60:18/60:18/60.
Now, A’s share of 6,500 = 6,500*24/60=2600
Similarly B’s Share = 6,500*18/60 = 1850
Similarly C’s Share = 6,500*18/60 = 1850