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
New: SSC MTS 2024 Application Form OUT; Direct Link
Don't Miss: Month-wise Current Affairs | Upcoming Government Exams
New: Unlock 10% OFF on PTE Academic. Use Code: 'C360SPL10'
Correct Answer: Rs. 960
Solution : Given: P, Q and R can do a piece of work in 60 days, 100 days, and 80 days. The total work of P, Q, and R is LCM of (60, 100, 80) = 1200 units One day's work of P $=\frac{1200}{60}=20$ One day's work of Q $=\frac{1200}{100}=12$ One day's work of R $=\frac{1200}{80}=15$ The amount will be divided among P, Q, and R as per the ratio of the work done in 1 day. The ratio of 1 day's work of P, Q, and R = 20 : 12 : 15 The amount received by P $=\frac{20}{20+12+15}\times 2256=\frac{20}{47}\times 2256 =960$ Hence, the correct answer is Rs. 960.
Application | Cutoff | Selection Process | Preparation Tips | Eligibility | Exam Pattern | Admit Card
Question : A piece of work can be completed by P and Q together in 24 days, and the same piece of work can be completed by R alone in 60 days. If P and R together can do the same work in 36 days, then find the time taken by Q to complete this piece of work alone.
Question : X and Y together can do a piece of work in 30 days. Z alone can do it in 60 days. If they worked together, then in how many days they can finish the work?
Question : P, Q, and R alone can do a piece of work in 5, 6, and 4 days, respectively. All three of them began the work together but Q left 1 day before completion of the work. In how many days was the work completed?
Question : P and Q can do a piece of work in 24 days, while R and S can do the same work in 8 days. In how many days P, Q, R, and S do it together?
Question : Kapila is thrice as efficient as Vipul and together they can finish a piece of work in 30 days. In how many days Vipul alone can finish the work?
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile