The cost price of a $Rs. 100$ stock at $4$ discount,when brokerage is $\frac{1}{4}\%$ is (in $Rs.$)

$A$ certain sum is divided among $A, B$ and $C$ in such a way that $A$ gets $Rs. 40$ more than $\frac{1}{2}$ of the sum. $B$ gets $Rs. 120$ less than $\frac{3}{8}$ of the sum,and $C$ gets $Rs. 200$. What is the total sum in $Rs.$?

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 $Rs.$).

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 $Rs.$).

$12500$ shares, of par value $Rs.\, 20$ each, are purchased from Ram by Mohan at a price of $Rs.\, 25$ each. Find out the amount required to purchase the shares. If Mohan further sells the shares at a premium of $Rs.\, 11$ each, then find out his gain in the transaction. (in $Rs.$)

The capital of a company is made up of $50000$ preferred shares with a dividend of $20 \%$ and $20000$ common shares,the par value of each type of share being $Rs. 10$. The company had a total profit of $Rs. 180000$,out of which $Rs. 30000$ were kept in a reserve fund and the remaining was distributed to shareholders. Find the dividend percentage for the common shareholders (in $\%$).