Question
Download Solution PDFSamir and Puneet can complete the same work in 10 days and 15 days respectively. The work was assigned for Rs.4500. After working together for 3 days Samir and Puneet involved Ashok. The work was completed in total 5 days. What amount (in Rs.) was paid to Ashok?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Samir's 1 day's work = 1/10
Puneet's 1 day's work = 1/15
Calculation:
(Samir + Puneet)'s 1 day's work = 1/10 + 1/15 = 1/6
(Samir + Puneet)'s 3 days work = 3 × 1/6 = 1/2
Remaining work after 3 days = 1 - 1/2 = 1/2
Remaining work completed in 2 days.
(Samir + Puneet + Ashok)'s 1 day's work = 1/2 × 1/2 = 1/4
Ashok's 1 day's work = 1/4 - 1/6 = 1/12
Ratio of work done = 5/10 : 5/15 : 2/12
= 1/2 : 1/3 : 1/6
= 3 : 2 : 1
∴ Ashok's share = 1/6 × 4500 = Rs.750
Alternate Method Samir and Puneet can complete the same work in 10 days and 15 days respectively
Total work = LCM(10, 15) = 30 units
Efficiency of Samir = 30/10 = 3 units
Efficiency of Puneet = 30/15 = 2 units
According to the question,
Samir and Puneet worked for (3 + 2) = 5 days
Work done by Samir and Puneet in 5 days = 5 × 5 = 25 units
Remaining 5 units of work is done by Ashok in 2 days
Efficiency of Ashok = 5/2 = 2.5 units
Total amount = Rs. 4500
Amount given for 1 unit of work = 4500/30 = 150
Amount given to Ashok = 150 × 5 = Rs. 750
Last updated on Jun 9, 2025
-> The SSC CGL Notification 2025 has been released on 9th June 2025 at ssc.gov.in.
-> The SSC CGL exam registration process is now open and will continue till 4th July 2025, so candidates must fill out the SSC CGL Application Form 2025 before the deadline.
-> This year, the Staff Selection Commission (SSC) has announced approximately 14,582 vacancies for various Group B and C posts across government departments.
-> The SSC CGL Tier 1 exam is scheduled to take place from 13th to 30th August 2025.
-> Aspirants should visit ssc.gov.in 2025 regularly for updates and ensure timely submission of the SSC CGL exam form.
-> Candidates can refer to the SSC CGL syllabus for a better understanding of the exam structure and pattern.
-> The SSC CGL Eligibility is a bachelor’s degree in any discipline.
-> Candidates selected through the SSC CGL exam will receive an attractive salary. Learn more about the SSC CGL Salary Structure.
-> Attempt SSC CGL Free English Mock Test and SSC CGL Current Affairs Mock Test.
-> Candidates should also use the SSC CGL previous year papers for a good revision.