a) $$\frac{{x + y}}{2}$$
b) $$\frac{{2xy}}{{x + y}}$$
c) $$\sqrt {xy} $$
d) $$\frac{{y – x}}{2}$$
Answer: c
Explanation:
$$\eqalign{
& {\text{Let the present population of the town be }}P \cr
& {\text{Using compound interest formula}} \cr
& {\text{Then}}, \cr
& P = x\left[ {1 + \left( {\frac{R}{{100}}} \right)} \right] – – – \,\left( i \right) \cr
& {\text{And}}\,y = P\left[ {1 + \left( {\frac{R}{{100}}} \right)} \right] \cr
& = P \times \frac{P}{x} – – – – \,\left( {ii} \right) \cr
& {P^2} = xy; \cr
& {\text{Hence}},\,P = \sqrt {xy} \cr} $$
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