Q.Purchasing price of one share of face value ₹ 100 available at a discount of $9\dfrac{1}{2}\%$ with brokerage $\dfrac{1}{2}\%$ is :

Market value $=100-9.5=90.5$; add buying brokerage $0.5\%$ of ₹100 $=0.5$; purchase price $=₹91$.

Face (nominal) value $=₹100$. A discount of $9\tfrac12\% = 9.5\%$ lowers the price below face value, so the market value is

$MV = 100 - 9.5\%\text{ of }100 = 100 - 9.5 = ₹90.5$

Brokerage is charged on the face value at $\tfrac12\% = 0.5\%$:

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