Answer:
Given, \[{{Q}_{1}}=18,\,{{Q}_{2}}=?,\] \[{{P}_{1}}\] = Rs. 9 and \[{{P}_{2}}\]= Rs. 10 Therefore, \[\Delta Q={{Q}_{2}}-{{Q}_{1}}\] \[\Delta P={{P}_{2}}-{{P}_{1}}=Rs\,\,1\] \[{{E}_{d}}\frac{\Delta Q}{Q}\times \frac{P}{\Delta P}\] \[-1=\frac{{{Q}_{2}}-{{Q}_{1}}}{{{Q}_{1}}}\,\,\times \,\,\frac{P}{{{P}_{2}}-{{P}_{1}}}\] \[-1=\frac{{{Q}_{2}}-18}{18}\,\,\times \,\,\frac{9}{10-9}\] \[-1=\frac{{{Q}_{2}}-18}{18}\,\,\times \,\,\frac{9}{1}\,\,\] \[-2={{Q}_{2}}-18\] \[-2+18={{Q}_{2}}\] \[{{Q}_{2}}=16\] Therefore, the consumer will buy 16 units of the good at a price of Rs. 10.
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