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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 per Cent of the Dividend Received by B - ICSE Class 10 - Mathematics

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Question

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 per cent of the dividend received by B

Solution

For A
Total investment = Rs 16,000
Nominal value of 1 share = Rs 100
Market value of 1 share = Rs 80

∴ No of shares purchased = `16000/10` = 1600 shares

Nominal value of 1600shares= 10 × 1600= Rs 16,000

Dividend received by B = Dividend received by A = Rs 600

Dividend% = `"Dividend"/"Nominal Value" xx 100%`

`= 600/16000 xx 100%`

= 3.75%

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Solution 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 per Cent of the Dividend Received by B Concept: Shares and Dividends.
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