Solution
Let $$(\frac{3}{2})X=(\frac{5}{7})Y=(\frac{6}{5})Z=k$$
=> $$X=\frac{2k}{3}$$, $$Y=\frac{7k}{5}$$ and $$Z=\frac{5k}{6}$$
=> $$X:Y:Z=\frac{2k}{3}:\frac{7k}{5}:\frac{5k}{6}$$
Multiplying the terms by L.C.M. (3,5,6) = 30
=> $$30(\frac{2}{3}:\frac{7}{5}:\frac{5}{6})$$
= $$20:42:25$$
=> Ans - (D)
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