a) x2 = yz
b) y2 = xz
c) z2 = xy
d) xyz = 1
Answer: b
Explanation: Let time be T years and rate be R% p.a.
$$\eqalign{
& {\text{Then, }}y{\text{ is the S}}{\text{.I}}{\text{. on x}} \cr
& \frac{{x{\text{RT}}}}{{100}} = y……(i) \cr
& {\text{And, }}z{\text{ is the S}}{\text{.I}}{\text{. on y}} \cr
& \frac{{y{\text{RT}}}}{{100}} = z \cr
& y = \frac{{100z}}{{RT}}……(ii) \cr
& {\text{From (i) and (ii) we have:}} \cr
& \frac{{x{\text{RT}}}}{{100}} = \frac{{100z}}{{{\text{RT}}}} \cr
& \frac{{x{{\text{R}}^2}{{\text{T}}^2}}}{{{{\left( {100} \right)}^2}}} = z \cr
& \frac{{{y^2}}}{x} = z \cr
& {y^2}= xz \cr }$$
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