If a/b = 39/7, b/c = 4/11, c/d = 7/26, e/f = 49/77 and d/e = 44/56 then what is the value of 13*abc/

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08 Dec 2017 Ratio

If a/b = 39/7, b/c = 4/11, c/d = 7/26, e/f = 49/77 and d/e = 44/56 then what is the value of 13*abc/def ?

OPtion

1) 1
2) 1/177
3) 21/286
4) 3/286
5) 14/169
6) 7/3718
7) 8/5
8) 21/3718
9) 14/143
10) None of these

Solution

a/d = (a/b)*(b/c)*(c/d) = (39/7)*(4/11)*(7/26) = 6/11
b/e = (b/c)*(c/d)*(d/e) = (4/11)*(7/26)*(44/56) = 1/13
c/f = (c/d)*(d/e)*(e/f) = (7/26)*(44/56)*(49/77) = 7/52

So 13*abc/def = 13*(a/d)*(b/e)*(c/f) = 13*(6/11)*(1/13)*(7/52) = 21/286

Correct Option: 3 Best Solution (1)