Question 100

P and Q can do a work individually in 50 and 40 days respectively. They together agreed to complete that work for Rs. 900. Then the share of P ( in rupees) in this amount is

Solution

It is known that the share of any single worker in the complete pay of the workers is inversely proportional to the number of days each worker takes to complete the task alone. 
Here, P and Q take 50 and 40 days respectively. Hence, the pay off for P and Q will be in the ratio of 40:50 i.e. 4:5 respectively

Hence, for a total pay of Rs. 900, P's share will be = (4/9)*900 = 400 rupees.  


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