Question 29

The compound ratio of the inverse ratios of the ratios x : yz , y : zx , z : xy is :

Solution

Compound ratio is the ratio of product of first terms in every ratio to that of product of second term in every ratio.

Thus, inverse ratios of the ratios of x : yz , y : zx , z : xy 

= $$\frac{yz}{x}$$ , $$\frac{zx}{y}$$ , $$\frac{xy}{z}$$

Product of ratios = $$\frac{x^2y^2z^2}{xyz}$$

= $$\frac{xyz}{1}$$

Thus, compound ratio = xyz : 1

=> Ans - (B)


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