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Question : G1 can do a piece of work alone in 20 days, G2 can do the same piece of work alone in 40 days, and G3 can do it alone in 60 days. They worked together and completed the work. If the combined share received by G1 and G2 is  INR 2,700, then what is the total amount received by all the 3 workers taken together?

Option 1: INR 3,300

Option 2: INR 3,000

Option 3: INR 3,900

Option 4: INR 3,600


Team Careers360 6th Jan, 2024
Answer (1)
Team Careers360 10th Jan, 2024

Correct Answer: INR 3,300


Solution : LCM of 20, 40 and 60 is 120.
Let the total work = 120 units
Efficiency of G 1 $=\frac{120}{20} = 6$
Efficiency of G 2 $=\frac{120}{40} = 3$
Efficiency of G 3 $=\frac{120}{60} = 2$
The share is distributed according to their efficiencies.
Let their share be $6x,3x$ and $2x$.
According to the question,
$6x+3x=2700$
$\therefore x=300$
Total amount received by all three workers $=6x+3x+2x = 11x=11\times300=3300$
Hence, the correct answer is INR 3,300.

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