Latest GENPACT Aptitude Question SOLUTION: X alone can do a piece of work in 15 days and Y alone can do it in 10 days. X and Y undertook to do it for Rs. 720. With the help of Z they finished it in 5 days. How much is paid

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(#M40005619) GENPACT Logical Reasoning question Time and work Keep an EYE

X alone can do a piece of work in 15 days and Y alone can do it in 10 days. X and Y undertook to do it for Rs. 720. With the help of Z they finished it in 5 days. How much is paid to Z?

Asked In GENPACT (13 years ago)

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vishal kumar singh  (12 years ago)

(X+Y+Z)'s one day work=1/5 and (X+Y)'s one day work=1/15+1/10..
Z's one day work=1/30. ratio of one day work=1/15:1/10:1/30=2:3:1
therefore z will be paid=1/6*720=Rs 120.....

Is this solution Helpfull? Yes (18) | No (2)  

Rajkumari  (11 years ago)

x does work in 15 days therefore gts paid 720/15=48(a day)
similarly y does the same wrk in 10 days 720/10=72 a day
we need to know ho much z was paid...
the wrk was done in 5 days
x+y*5
(48+72)one days work x 5 days =600
the total amount given was Rs 720
therefore z got Rs 720-600
=>z got Rs 120

Is this solution Helpfull? Yes (6) | No (2)  

Honeymadhur  (12 years ago)

answer is : 720/6=120

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PARVY GOVIL  (11 years ago)

1/15+1/10+1/x=1/5
x=30
z can do 1/30th of the work in 1 day .
so it is paid 1/6th of 720=rs.120

Is this solution Helpfull? Yes (2) | No (1)  

bitthal patidar  (6 years ago)

x=15 days
y=10 days
x+y+x=5 days
lcm= (5,15,10) is 30.
30 is total work.
x can do 1 day work =2 unit.
y can do 1 day work =3 unit .
1day work x+y+z=6 unit
so 720/6=120.
so z paid =20

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