Shyam purchased $12000$ shares of a company,of par value $Rs. 10$ each,paying an annual dividend of $15\%$ at such a price that she gets $10\%$ on her investment. Find the market value of a share (in $Rs.$).

$A$ company declared a semi-annual dividend of $7 \frac{1}{2} \%$. Find out the annual dividend of Chetan,who owns $1250$ shares of the company,each having a par value of $Rs. 10$. (in $Rs.$)

Mac buys $200$ shares of par value $Rs. 10$ each,of a company,which pays an annual dividend of $8 \%$ at such a price that he gets $10 \%$ on his investment. Find the market value of one share (in $Rs.$).

$A$ man invested $Rs. 260000$ in $5\%$ stock at $104$. He sold the stock when the price rose to $Rs. 125$ and invested the sale proceeds in $6\%$ stock. By doing this,his income increased by $Rs. 2500$. At what price did he purchase the second stock? (in $Rs.$)

$A$ man invests $Rs. 27600$ in $4 \%$ stock at $92$. He sold $Rs. 20000$ stock when the price rose to $Rs. 96$,and sold the remaining stock when the market value fell to $Rs. 90$. How much does he gain or loss in the transaction?

$A$ company issued $50000$ shares of par value $Rs. 10$ each. If the total dividend declared by the company is $Rs. 62500$,then find out the rate of dividend paid by the company. (in $\%$)