A man buys 75, Rs 100 shares paying 9 percent dividend. He buys shares at such a price that he gets 12 percent of his money. At what price did he buy the shares?
A man buys 75, Rs 100 shares paying 9 percent dividend. He buys shares at such a price that he gets 12 percent of his money. At what price did he buy the shares?

Given,

Nominal worth of

    \[1\text{ }offer\text{ }=\text{ }Rs100\]

In this way, the nominal worth of

    \[75\text{ }shares\text{ }=\text{ }100\text{ }x\text{ }75\text{ }=\text{ }Rs\text{ }7,500\]

Furthermore,

    \[Dividend\text{ }percent\text{ }=\text{ }9\text{ }percent\]

Hence,

    \[profit\text{ }=\text{ }9\text{ }percent\text{ }of\text{ }Rs\text{ }7,500\]

    \[=\text{ }9/100\text{ }x\text{ }Rs\text{ }7,500\text{ }=\text{ }Rs\text{ }675\]

How about we think about the market cost of

    \[1\text{ }offer\text{ }=\text{ }Rs\text{ }y\]

Then, at that point, the market cost of

    \[75\text{ }offers\text{ }=\text{ }Rs\text{ }75y\]

Furthermore, Profit

    \[percent\]

on speculation

    \[=\text{ }12percent\]

    \[\begin{array}{*{35}{l}} 12percent\text{ }of\text{ }75y\text{ }=\text{ }Rs\text{ }657  \\ 12/100\text{ }x\text{ }75y\text{ }=\text{ }Rs\text{ }657  \\ y\text{ }=\text{ }Rs\text{ }75  \\ \end{array}\]

Subsequently, the cost of his offers is

    \[Rs\text{ }75\]

each