Suresh and Shashi complete a work in 11 days and 17 days respectively. They…
2023
Suresh and Shashi complete a work in 11 days and 17 days respectively. They received a remuneration of ₹5,600 after completing the work jointly. Their shares in the remuneration are respectively:
Answer: B. ₹3,400 and ₹2,200 — ConceptWhen people complete the same job together, remuneration is divided in the ratio of their work contributions. If they work together for the same…
- A.
₹3,600 and ₹2,000
- B.
₹3,400 and ₹2,200
- C.
₹3,500 and ₹2,100
- D.
More than one of the above
- E.
None of the above
Attempted by 8 students.
Show answer & explanation
Correct answer: B
Concept
When people complete the same job together, remuneration is divided in the ratio of their work contributions. If they work together for the same duration, this is the ratio of their efficiencies.
A person who can complete a whole job in d days has a daily work rate of 1/d. Therefore, efficiencies are inversely proportional to the required times.
Application
Suresh’s work rate is 1/11 of the job per day, while Shashi’s work rate is 1/17 of the job per day.
Their efficiency ratio is (1/11):(1/17) = 17:11.
The total number of ratio parts is 17 + 11 = 28, so the value of one part is ₹5,600 ÷ 28 = ₹200.
Suresh’s share is 17 × ₹200 = ₹3,400, and Shashi’s share is 11 × ₹200 = ₹2,200.
Cross-check
The shares add to ₹3,400 + ₹2,200 = ₹5,600, and their ratio 3,400:2,200 simplifies to 17:11, matching the efficiency ratio.
Therefore, their respective shares are ₹3,400 and ₹2,200.