Discussion
Working alone A can do a task in 27 hours and B can do the same in 54 hours. Find C's share (in ₹) if A, B and C get paid ₹ 4,320 for completing a task in 12 hours on which they worked together.
Answer: A
C's share is 1,440 rupees.
In 12 hours A does \(\frac{12}{27} = \frac{4}{9}\) of the task and B does \(\frac{12}{54} = \frac{2}{9}\). C must do the rest:
\[ \begin{aligned} 1 - \tfrac{4}{9} - \tfrac{2}{9} &= \tfrac{3}{9} = \tfrac{1}{3} \\ \text{C's share} &= \tfrac{1}{3} \times 4320 = 1440 \end{aligned} \]
Payment is divided in proportion to work done. 1,920 is A's share and 960 B's.
No comment is present. Be the first to comment.
Loading…
Post your comment
Please log in or register to post a comment.
Examination Categories
- SSC Exams
- Banking Exams
- Teaching Exams
- Civil Services Exams
- Railways Exams
- Engineering Recruitment Exams
- Defence Exams
- State Government Exams
- Police Exams
- Insurance Exams
- Nursing Exams
- Other Government Exams
- NRA CET
- PG Entrance Exams
- Campus Placement
- MBA Entrance Exams
- CUET and UG Entrance
- Judiciary Exams
- Regulatory Body Exams
- Software Development