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Multiple Choice Questions

Gopal does a work in 90 days Vikash in 40 days and Santhosh in 12 days They work one after another f...........

Quantitative Aptitude(IBPS PO) Time and work

Gopal does a work in 90 days, Vikash in 40 days and Santhosh in 12 days. They work one after another for a day each, starting with Gopal followed by Vikash and then by Santhosh. If the total wages received are Rs 360 and Gopal, Vikash, Santhosh share them in the ratio of the work done, find their respective individual wages.

Rs 44, Rs 80 and Rs 264

Rs 40, Rs 87 and Rs 276

Rs 36, Rs 81 and Rs 243

Rs 42, Rs 86 and Rs 232

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Explanation:

Explanation :
Assume there are 360 units of work (LCM of 90, 40 and 12).
Hence, they can do 4,9 and 30 units per day or together 43 units every 3 days.
So In 24 days, 43×8=344 units of work is completed.
In the next 2 days, 13 unitsare completed and on 27th day,Santhosh takes 1/10 thof a day to finish the rest.
So, gopal and vikash worked for 9 days each and have hence put in 36 and 81 units respectively, and the rest of the 243 units is put in by santhosh.
The wages shall also be distributed in the same ratio as: Rs 36, Rs 81 and Rs 243.

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