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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.
  • a)
    Rs 44, Rs 80 and Rs 264
  • b)
    Rs 40, Rs 87 and Rs 276
  • c)
    Rs 36, Rs 81 and Rs 243
  • d)
    Rs 42, Rs 86 and Rs 232
  • e)
    Rs 37, Rs 89 and Rs 284
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Gopal does a work in 90 days, Vikash in 40 days and Santhosh in 12 day...
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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Community Answer
Gopal does a work in 90 days, Vikash in 40 days and Santhosh in 12 day...
To solve this problem, we need to find the individual wages of Gopal, Vikash, and Santhosh based on the ratio of the work done by each of them.

Given:
Gopal completes the work in 90 days.
Vikash completes the work in 40 days.
Santhosh completes the work in 12 days.
Total wages received are Rs 360.

Let's calculate the work done by each person in a single day:

Gopal's work in a day = 1/90 (as he completes the work in 90 days)
Vikash's work in a day = 1/40 (as he completes the work in 40 days)
Santhosh's work in a day = 1/12 (as he completes the work in 12 days)

Now, let's calculate the total work done by Gopal, Vikash, and Santhosh based on the ratio of their individual works:

Total work done by Gopal in 1 day = (1/90) * 360 = 4 units
Total work done by Vikash in 1 day = (1/40) * 360 = 9 units
Total work done by Santhosh in 1 day = (1/12) * 360 = 30 units

Now, we can calculate the ratio of the work done by Gopal, Vikash, and Santhosh:

Gopal : Vikash : Santhosh = 4 : 9 : 30

To find their respective individual wages, we need to divide the total wages of Rs 360 in the ratio of the work done:

Gopal's wage = (4 / (4+9+30)) * 360 = (4/43) * 360 = Rs 36
Vikash's wage = (9 / (4+9+30)) * 360 = (9/43) * 360 = Rs 81
Santhosh's wage = (30 / (4+9+30)) * 360 = (30/43) * 360 = Rs 243

Therefore, the respective individual wages of Gopal, Vikash, and Santhosh are Rs 36, Rs 81, and Rs 243. Hence, the correct answer is option 'C'.
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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.a)Rs 44, Rs 80 and Rs 264b)Rs 40, Rs 87 and Rs 276c)Rs 36, Rs 81 and Rs 243d)Rs 42, Rs 86 and Rs 232e)Rs 37, Rs 89 and Rs 284Correct answer is option 'C'. Can you explain this answer?
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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.a)Rs 44, Rs 80 and Rs 264b)Rs 40, Rs 87 and Rs 276c)Rs 36, Rs 81 and Rs 243d)Rs 42, Rs 86 and Rs 232e)Rs 37, Rs 89 and Rs 284Correct answer is option 'C'. Can you explain this answer? for Quant 2025 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about 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.a)Rs 44, Rs 80 and Rs 264b)Rs 40, Rs 87 and Rs 276c)Rs 36, Rs 81 and Rs 243d)Rs 42, Rs 86 and Rs 232e)Rs 37, Rs 89 and Rs 284Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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.a)Rs 44, Rs 80 and Rs 264b)Rs 40, Rs 87 and Rs 276c)Rs 36, Rs 81 and Rs 243d)Rs 42, Rs 86 and Rs 232e)Rs 37, Rs 89 and Rs 284Correct answer is option 'C'. Can you explain this answer?.
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