A, B and C can do work in 8, 10, and 12 days respectively. After completing the work together, they received Rs. 5,550. What is the share of B (in Rs) in the amount received?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 1,800.
Given:
The ratio of time taken by A, B, and C is 8 : 10 : 12 respectively
Concept Used:
The efficiency is inversely proportional to the time taken.
Explanation:
The ratio of time taken by A, B, and C is 8 : 10 : 12 respectively
Thus, the ratio of their efficiency = 1/8 : 1/10 : 1/12 = 15 : 12 : 10
The amount received by B = {12/(15 + 12 + 10) × 5550}
⇒ (12/37) × 5550
⇒ 12 × 150 = Rs.1800