Question 42

P can do a piece of work in 10 days; B in 15 days. They work for 5 days. The rest of the work finished by R in 2 days. If they get ₹1,500 for the whole work, the sum of the daily wages of B and R is:

Solution

P and B can do the work in 10 and 15 days, respectively. 

Let the total units of work be LCM(10,15) = 60 units.

So, P can do 60/10= 6 units per day

B can do 60/15 = 4 units per day

If they work together, they would do 6+4 =10 units per day.

Therefore, in 5 days, they will do $$10\times\ 5=50\ $$units

Then Work left = 60-50 = 10 units.

R can do this work in 2 days, therefore he does 10/2 = 5 units per day.

If they are getting Rs.1500 for 60 units of work, then they get $$\ \frac{\ 1500}{60}=Rs.\ 25$$ per unit.

B and R will do 4 + 5 = 9 units per day. 

Therefore, they will earn $$9\times\ 25$$= Rs. 225


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