Two brothers $A$ and $B$ invest $R s .16, 000$ each in buying shares of two companies. A buys $3 %$ hundred-rupee shares at $80$ and $B$ buys ten-rupee shares at par. If they both receive equal dividend at the end of the year, find the rate percent of the dividend received by $B$ .

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Solution

For A
Sum invested=Rs.16000
N.V of each share=Rs.100
M.V of each share=Rs.80
$∴$ No.of share brought= $\frac{i n v e s t m e v t}{M . V o f o n e s h a r e} = \frac{16000}{80} = 200$
Rate of dividend=3%
Dividend on 1 share=3% of 100 $= \frac{3}{100} \times 100 = R s .3$
Total dividend received= $200 \times 3 = R s .600$

For B
Sum invested=Rs.16000
N.V of each share=Rs.10
M.V of each share=Rs.10
$∴$ No.of share brought= $\frac{i n v e s t m e v t}{M . V o f o n e s h a r e} = \frac{16000}{10} = 1600$
Let the Rate of dividend received by B=x%
$\Rightarrow$ Dividend on each share=x% of Rs.10= $\frac{x}{100} \times 10 = R s . \frac{x}{10}$
Dividend on 1600 shares $= 1600 \times \frac{x}{10} = R s .160 x$
Since dividend received by both is same
$∴ 160 x = 600$
$\Rightarrow x = \frac{600}{160} = 3.75$ %

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Two brothers A and B invest Rs.16,000 each in buying shares of two companies. A buys 3% hundred-rupee shares at 80 and B buys ten-rupee shares at par. If they both receive equal dividend at the end of the year, find the rate percent of the dividend received by B.

Two brothers $A$ and $B$ invest $R s .16, 000$ each in buying shares of two companies. A buys $3 %$ hundred-rupee shares at $80$ and $B$ buys ten-rupee shares at par. If they both receive equal dividend at the end of the year, find the rate percent of the dividend received by $B$ .