Sign in
ui-button
ui-button
A, B and C can do a piece of work in 20, 24 and 30 days, respectively. They undertook to do the piece of work for Rs.5400. They begin the work together but B left 2 days before the completion of work and C left 5 days before the completion of work. The share of A from the assured money is
A) Rs.2700
B) Rs.540
C) Rs.1800
D) Rs.600
Correct answer:
A) Rs.2700
Description for Correct answer:
Let the number of days to complete the work be x.
According to the question,
\( \Large \frac{x}{20} \) + \( \Large \frac{x-2}{24} \) + \( \Large \frac{x-5}{30} \) = 1
= \( \Large \frac{6x+5 \left(x-2\right)+4 \left(x-5\right) }{120} = 1 \)
= \( \Large 6x +5x+4x = 120+10+20 \)
= 15x = 150
Therefore, x = 10
Therefore, Work done by A = \( \Large \frac{10}{20} = \frac{1}{2} \)
Therefore, Share of A from the assured money = \( \Large \frac{1}{2} \times 5400 \) = Rs.2700
Please provide the error details in above question
Report Error
Recent Activities
General Knowledge
More questions and answers on- General Knowledge
Aptitude
More questions and answers on- Aptitude
Number System
More questions and answers on- Number System
Time and Distance
More questions and answers on- Time and Distance
Average
More questions and answers on- Average
Time and work
More questions and answers on- Time and work
Simple and compound interest
More questions and answers on- Simple and compound interest
Mensuration
More questions and answers on- Mensuration
Number series
More questions and answers on- Number series
Pipes and Cisterns
More questions and answers on- Pipes and Cisterns
Linear Equations
More questions and answers on- Linear Equations
Quadratic Equations
More questions and answers on- Quadratic Equations
Simplification
More questions and answers on- Simplification
Approximation
More questions and answers on- Approximation
Word problems
More questions and answers on- Word problems