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P alone can do a work in 20 days and Q alone in 30 days. R alone can do work in 60 days. They take Rs. 12000 to complete the work. If P and Q took help of R to complete the work, then what is the difference in share of Q and R?
  • a)
    Rs. 1000
  • b)
    Rs. 1250
  • c)
    Rs. 2000
  • d)
    Rs. 4000
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
P alone can do a work in 20 days and Q alone in 30 days. R alone can d...
Given,
P's 1 day's work = 1/20
Q's 1 day's work = 1/30
R's 1 day's work = 1/60
(P + Q + R)’s 1 day’s work = 1/20 + 1/30 + 1/60
= 1/10
With help of R they can finish work in 10 days.
P's 10 days work = 10/20 = 1/2
Q's 10 days work = 10/30 = 1/3
R's 10 days work = 10/60 = 1/6
Their share will be divided into the ratio of
= 1/2 : 1/3 : 1/6
= 3 : 2 : 1
Q's share = 2/6 × 12000 = 4000
R's share = 1/6 × 12000 = 2000
∴ Difference in Q's share and R's share = Rs. 4000 – Rs. 2000 = Rs. 2000
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P alone can do a work in 20 days and Q alone in 30 days. R alone can do work in 60 days. They take Rs. 12000 to complete the work. If P and Q took help of R to complete the work, then what is the difference in share of Q and R?a)Rs. 1000b)Rs. 1250c)Rs. 2000d)Rs. 4000Correct answer is option 'C'. Can you explain this answer?
Question Description
P alone can do a work in 20 days and Q alone in 30 days. R alone can do work in 60 days. They take Rs. 12000 to complete the work. If P and Q took help of R to complete the work, then what is the difference in share of Q and R?a)Rs. 1000b)Rs. 1250c)Rs. 2000d)Rs. 4000Correct answer is option 'C'. Can you explain this answer? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about P alone can do a work in 20 days and Q alone in 30 days. R alone can do work in 60 days. They take Rs. 12000 to complete the work. If P and Q took help of R to complete the work, then what is the difference in share of Q and R?a)Rs. 1000b)Rs. 1250c)Rs. 2000d)Rs. 4000Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for P alone can do a work in 20 days and Q alone in 30 days. R alone can do work in 60 days. They take Rs. 12000 to complete the work. If P and Q took help of R to complete the work, then what is the difference in share of Q and R?a)Rs. 1000b)Rs. 1250c)Rs. 2000d)Rs. 4000Correct answer is option 'C'. Can you explain this answer?.
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