Correct Answer - Option 3 : Rs. 100
GIVEN:
A can do half of the work in 5 days and B can do 1/3rd of the work in 6 days.
CONCEPT:
Efficiency is inversely proportional to time.
And
Ratio of amount = Ratio of efficiency
CALCULATION:
Time in which A will complete the whole work = 5 × 2 = 10 days
And
Time in which B will complete the whole work = 6 × 3 = 18 days
So,
Ratio of efficiencies of A and B = 18 : 10 = 9 : 5
Hence,
Amount received by B = 280 × 5/14 = Rs. 100