Correct Answer - Option 3 : Rs. 5040
Given
Time spend by A, B and C to complete a work = 12 ∶ 11 ∶ 6
Concept
Efficiency is inversely proportional to the time taken to complete the work.
Ratio of efficiency is directly proportional to the wages.
Calculation
Time taken by them is 12, 11 and 6 hours
Let the total work be 132 units (LCM of 12, 11 and 6)
Efficiency of A = 132/12 = 11 units
Efficiency of B = 132/11 = 12 units
Efficiency of C = 132/6 = 22 units
As, the ratio of efficiency is directly proportional to the wages.
45 units corresponds to Rs.18,900
B (12 units) will corresponds to 18,900 × (12/45) = 5040
∴ Share of B is Rs. 5040