If a/b = 27/46 , b/c = 16/33, c/d = 23/27, e/f = 12/55 and d/e = 33/92 then what is the value of (ab

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12 Sep 2018 Fraction

If a/b = 27/46 , b/c = 16/33, c/d = 23/27, e/f = 12/55 and d/e = 33/92 then what is the value of (abc/def)*99 ?

OPtion

1) 2/135
2) 2/185
3) 99/5
4) 27/125
5) 32/135
6) 77/380
7) 61/180
8) 27/80
9) 19/60
10) None of these

Solution

a/d = (a/b)*(b/c)*(c/d) = 8/33
b/e = (b/c)*(c/d)*(d/e) = 4/27
c/f = (c/d)*(d/e)*(e/f) = 1/15

So 99*abc/def = 99*(a/d)*(b/e)*(c/f) = 99* (8/33) * (4/27) * (1/15) = (8/1) * (4/9) * (1/15) = 32/135

Option 5)

Correct Option: 5 Best Solution (0)