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# A man buys $200$ ten-rupee shares at $Rs12.50$ each and receives a dividend of $8\%$ . Find the amount invested by him and the dividend received by him in cash. Verified
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Hint: We can solve the given question by Investment and Dividend formula, and a man buys $200$ten rupees shares which means $200 \times 10$ .

We will find this problem using Investment $= n \times M.V$ of one share where n is the number of the shares and M.V is the market value (at which one share is sold) of the given problem and Dividend formula is
Dividend = $n \times \dfrac{r}{{100}} \times N.V$ of the one share where, r is the rate and N.V is the Nominal value of the shares.
Since from given a man buys a total number of shares(n) $= 200$ , which are ten rupees share, so the nominal value of one share (N.M) $= R.s.10$
Therefore, face value of $200$ shares $= 10 \times 200$
$\Rightarrow Rs.2000$
Now the amount invested for the purchase of $200$ shares at the rate of $Rs.12.50$ each is $\Rightarrow 12.50 \times 200$
Multiplying the above equation, we get $\Rightarrow Rs.2500$ (By investment formula)
Since from given the rate of the dividend is $8\%$
Thus Dividend = $n \times \dfrac{r}{{100}} \times N.V$ = $200 \times (\dfrac{8}{{100}}) \times 10$
Solving this equation, we get Dividend $= 2 \times 8 \times 10 = 160$
Hence the amount invested by him is $Rs.2500$ and the dividend received by him is $Rs.160$

Note: We must make an error on the dividend formula like $n \times \dfrac{{r\% }}{{100}} \times N.V$
But here the % (percentage) already represents the $\dfrac{1}{{100}}$ so we don’t need to repeat it again.
The market value of one share (M.V) = the price at which the shares are brought – total nominal value
Hence, we can also use this formula to find one share which is $212.50 - 200 = 12.50.Rs$ ( $Rs.212.50$ is the man who buys ten rupees shares at the price).