The daily wages of Happy and Sad respectively are Rs. 4.50 and 3.75. When Happy finishes a certain work, he gets a total wage of Rs. 162. When Sad does the same work, he gets a total wage of Rs. 225. If both of them do it together what is the cost of the work?

Solution

Worked day of Happy = 162/4.5 = 36 Worked day of Sad = 225/3.75 = 60 Now, Required time = 180/8 = 45/2 days Cost of the work = 45/2 × (4.5 + 3.75) = 185.62 ixamBee Approach : Number of days Happy took to finish the work alone = 162/4.5= 36 Number of days Sad took to finish the work alone = 225/3.75 = 60 Happy’s one day’s work = 1/36 Sad’s one day’s work = 1/60 Work done in one day when Happy and Sad work together = 1/36+ 1/60= (5+3)/180= 8/180= 2/45 work Number of days to finish 2/45 work = 45/2=22.5 days Cost of the work = 22.5 × (4.5 + 3.75) = 185.62