Two brothers A and B invest ₹ 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.

For A,

M.V. of shares = 80

Investment = ₹ 16,000

No. of shares = $\dfrac{16000}{80}$ = 200.

Annual income = No. of shares × Rate of div. × N.V. of 1 share

= 200 × $\dfrac{3}{100} \times 100$

= ₹ 600.

For B,

M.V. of shares = 10

Investment = ₹ 16,000

No. of shares = $\dfrac{16000}{10}$ = 1600.

Let rate of dividend be x%

Annual income = No. of shares × Rate of div. × N.V. of 1 share

$\Rightarrow 600 = 1600 \times \dfrac{x}{100} \times 10 \\[1em] \Rightarrow x = \dfrac{600 \times 100}{1600 \times 10} \\[1em] \Rightarrow x = \dfrac{60000}{16000} = 3.75\%$

Hence, the rate percent of the dividend received by B = 3.75%.