Question : X and Y can complete a piece of work in 12 and 60 days respectively. They are contracted to complete the work together for Rs. 24,000. What will be the share of X?
Option 1: Rs. 18,000
Option 2: Rs. 16,000
Option 3: Rs. 20,000
Option 4: Rs. 21,000
Correct Answer: Rs. 20,000
Solution :
Given: X and Y can complete a piece of work in 12 and 60 days.
The total work of X and Y is LCM of (12, 60) = 60 units
1 day's work by X $=\frac{60}{12}=5$
1 day's work by Y $=\frac{60}{60}=1$
So, the ratio of their efficiency $= 5 : 1$
Share of X $=\frac{5}{6}\times 24000=$ Rs. $20000$
Hence, the correct answer is Rs. 20,000.
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