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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?
Class 10 | Exercise 3B | ICSE | Maths | Selina | Shares and Dividend In Two Variables
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

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