Anu does a work in 90 days, balu in 40 days and chitra in 12 days. They work one after another for a day each, starting with anu followed by balu and then by chitra. If the total wages received are rs 360 and anu, balu, chitra share them in the ratio of the work done, find their respective individual wages?
Answers
Answer:
Anu = Rs 36
Balu = Rs 81
Chitra = Rs 243
Step-by-step explanation:
Anu does work in 90 days
Anu's 1 day work = 1/90 = 360/90 = 4parts
Balu does work in 40 days
Balu's 1 day work = 1/40 = 360/40 = 9 parts
Chitra does work on 12 days
Chitra's 1 day work = 1/12 = 360/12 = 30 p
Total work = LCM of (90, 40, 13) = 360 parts
In 3 days, Anu, Bala and Chitra does work = (4 + 9 + 30) = 43 parts
In 24 days, Anu, Bala and Chitra does work = 8 * 43 = 344 parts
Work Remaining = 360 - 344 = 16 parts
From remaining work, Anu does work = 4 parts
From remaining work, Balu does work = 9 parts
From remaining work, Chitra does work = 3 parts
Total work done by Anu = (9 * 4) = 36 parts
Total work done by Balu = (9 * 9) = 81 parts
Total work done by Chitra = (8 * 30) + 3 = 240 + 3 = 243 parts
Ratio of work done is given as
Anu : Balu : Chitra = 36 : 81 : 243 = 4 : 9 : 27
Now, total wage recieved = Rs 360
Wage of Anu = 4/40 * 360 = Rs 36
Wage of Balu = 9/40 * 360 = Rs 81
Wage of Chitra = 27/40 * 360 = Rs 243