Question : A can do the same work in 8 days, B can do the same work in 10 days, and C can do the same work in 12 days. If all three of them do the same work together and they are paid Rs. 7400, what is the share (in Rs.) of B?
Option 1: 2600
Option 2: 3000
Option 3: 2400
Option 4: 2000
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Correct Answer: 2400
Solution : Let total work to be done = LCM (8, 10, 12) = 120 units A can do the work in 8 days. ⇒ A's efficiency = $\frac{120}{8} = 15$ units/day Similarly, B's efficiency = $\frac{120}{10} = 12$ units/day and C's efficiency = $\frac{120}{12} = 10$ units/day Total amount to be paid = Rs. 7400 $\therefore$ B's share $=\frac{12}{15+12+10}×7400=2400$ Hence, the correct answer is 2400.
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Question : A and B together can do a piece of work in 36 days and B and C together can do it in 24 days. A and C together can do it in 18 days. The three working together can finish the work in:
Option 1: 8 days
Option 2: 16 days
Option 3: 30 days
Option 4: 32 days
Question : A and B can do a work in 8 days and B and C can do the same work in 12 days. A, B and C together can finish it in 6 days. A and C together will do it in:
Option 1: 4 days
Option 2: 6 days
Option 3: 8 days
Option 4: 12 days
Question : A can do $\frac{1}{3}$ of a work in 30 days. B can do $\frac{2}{5}$ of the same work in 24 days. They worked together for 20 days. C completed the remaining work in 8 days. Working together A, B and C will complete the same work in:
Option 1: 15 days
Option 2: 10 days
Option 3: 18 days
Question : A can do $\frac{1}{3}$rd of a piece of work in 32 days, B can do $37 \frac{1}{2}$% of the same work in 24 days, while C can do 60% of the same work in 48 days. B and C together started and worked for x days. After x days, B left and A joined C and together, completed the remaining work in (x + 8) days. If the ratio of the work done by (B + C) together to the work done by (A + C) together is 9 : 11, then what fraction of the same work can be completed by C alone in 3.5x days?
Option 1: $\frac{18}{25}$
Option 2: $\frac{4}{5}$
Option 3: $\frac{7}{10}$
Option 4: $\frac{3}{4}$
Question : A and B do $\frac{3}{5}$th part of a work and the rest of the work is completed by C. If A, B, and C take the same work for Rs. 5000, then what is the share of C (in Rs.)?
Option 1: 3000
Option 2: 2500
Option 3: 2000
Option 4: 1500
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