S, T and U can complete a work in 40, 48 and 60 days respectively. They received Rs 10800 to complete the work. They begin the work togethe…

4860 is the correct answer as per the ssc answer key

s=40, t=48 , u=60

take lcm of 40 48 and 60, by doing so you will get a value which will be assumed as the total work.

lcm of 40,48,60=240.therefore total work is 240 units.

one day work of s=240/40=6

...........................t=240/48=5

...........................u=240/60=4

now let them complete the total work in x days so

6x+5(x-2)+4(x-5)=240

solving the above eqn we get the value of x as 18

therefore total work will be completed in 18 days

amount of work done by s=6*18=108

.........................................t=5*16=80

.........................................u=4*13=52

therefore payment received by s=10800/240*108=4860