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Multiple Choice Questions

G1 can do a piece of work alone in 20 days G2 can do the same piece of work alone in ...........

Quantitative Aptitude (MTS) Time and work

G₁can do a piece of work alone in 20 days, G₂can do the same piece of work alone in 40 days, while G₃can do it alone in 60 days. They worked together and completed the work. If the combined share received by G₁and G₂ is Rs2,700, then what is the total amount received by all ihe 3 workers taken together?

This questions was previously asked in

SSC MTS 26th July 2022 Shift-2

View All SSCMTS Previous Year Papers

Rs3,300

Rs3,600

Rs3,000

Rs3,900

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Explanation:

Correct Option: 1

Time taken by G1 to complete the work = 20 days
Time taken by G2 to complete the work = 40 days
Time taken by G3 to complete the work = 60 days

Let total work=LCM(20,40,60)=120

Ratio of efficiencies = 6 : 3 : 2

Profit will be shared in a ratio 6: 3 : 2
According to the question = 6x + 3x = 2700
By solving the above equation, we get x = 300
Total profit = 6x + 3x + 2x = 11x = 11 * 300 = 3300
Total profit is Rs 3300