Latest CAT Aptitude Question SOLUTION: a sum of rs 300 was paid for a work that a can do in 32 days,b in 20 days,c in 12 days and d in 24 days how much did c receive if all the 4 work together

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a sum of rs 300 was paid for a work that a can do in 32 days,b in 20 days,c in 12 days and d in 24 days how much did c receive if all the 4 work together

Asked In CAT pankaj dhami (11 years ago)

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PARAG KAMRA  (11 years ago)

a's one day work=1/32,
b's one day work=1/20,
c's one day work=1/12,
d's one day work=1/24,
a's share:b's share:c's share:d's share=1/32:1/20:1/12:1/24
the lcm of all number is 480
then after taking lcm the ratio become
15:24:40:20
c's share=40*300/99=121.21
so c will recieve 121(approx) rupees

Is this solution Helpfull? Yes (7) | No (3)  

hafijullah  (10 years ago)

some part of the question is missing.....the original question is.....

Q:A sum of rs 300 was paid for a work that a can do in 32 days,b in 20 days,b and c in 12 days and d in 24 days. How much did c receive if all the 4 work together?

Ans:
a's one day work=1/32,
b's one day work=1/20,
b and c's one day work = 1/b + 1/c = 1/12
1/20 + 1/c = 1/12
1/c = 1/30
therefore c's one day work = 1/30
and d's one day work = 1/24
so there share ratio is....
a:b:c:d = 1/32:1/20:1/30:1/24
the lcm of all no is 480. Then after taking lcm the ratio becomes....
a:b:c:d = 15:24:16:20
so c's share = 300*16/75 = 64
so c will get 64 rupees.

Is this solution Helpfull? Yes (3) | No   

ALOK KUMAR NAYAK  (10 years ago)

a's one day work=1/32,
b's one day work=1/20,
c's one day work=1/12,
d's one day work=1/24,

a's share:b's share:c's share:d's share=1/32:1/20:1/12:1/24
L.C.M will be 1440
So, the ratio will become 45:72:48:60

c's share = 48/(45+72+48+60)*300= 64

So, C will receive Rs 64....

Is this solution Helpfull? Yes (1) | No   

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