Question 8

If $$(\frac{3}{2})X=(\frac{5}{7})Y=(\frac{6}{5})Z$$, then what is X:Y:Z ?

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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