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
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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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Question : X and Y together can do a piece of work in 45 days. If Y alone can complete it in 180 days, then in how many days X alone can complete the work?
Option 1: 90 days
Option 2: 40 days
Option 3: 60 days
Option 4: 80 days
Question : P, Q, and R can do a piece of work in 60 days, 100 days and 80 days respectively. They together work to finish the work and receive Rs. 2256. Then, P will get ___.
Option 1: Rs. 576
Option 2: Rs. 752
Option 3: Rs. 960
Option 4: Rs. 564
Question : The enhanced salary of a man becomes Rs. 24,000 after a 20% increment. His previous salary was:
Option 1: Rs. 20,000
Option 2: Rs. 21,000
Option 3: Rs. 16,000
Option 4: Rs. 18,000
Question : X and Y together can do a work in 10 days. Y and Z together can do the same work in 15 days. Z and X together can do the same work in 12 days. In how many days can Z alone do the same work?
Option 1: 80 days
Option 2: 60 days
Option 3: 40 days
Option 4: 50 days
Question : X can do a piece of work alone in 15 days while Y alone can do it in 10 days. They worked together for 3 days and the remaining work was finished by Z in 1 day. If they get paid Rs. 4000 for the entire work, then what is the share of Z?
Option 1: Rs. 2000
Option 2: Rs. 1000
Option 3: Rs. 1200
Option 4: Rs. 800
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