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Ramesh Had Rs 100 Shares of 'Bihar Steel' Paying 8% Dividend.

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Question

Ramesh had Rs 100 shares of 'Bihar Steel' paying 8% dividend. He sold them at a market price of Rs 130 and invested the proceeds in buying Rs 50 shares of 'Jindal steel' available at Rs 75 and paying 12% dividend. He thus increased the annual income by Rs 360. How many shares did Ramesh sell?

Sum
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Solution

For shares of 'Bihar Steel':

Let x be the no. of shares sold by Ramesh. 

Nominal value of each share =Rs 100 

Face value of x shares = Rs 100x 

Market value of each share = Rs 130 

Market value of x shares = Rs 130x = proceeds from selling 

Dividend = 8 % of Rs 100 x = `8/100 xx  "Rs"  100  x` = Rs 8 x .............(i)

For shares of 'Jindal Steel': 

Market value of each share = Rs 75 

Number of shares bought = proceeds from selling 'Bihar steel' I market value of 'Jindal steel' 

=`(130  x )/75`

Nominal value of each share =Rs 50 

Face value of `(130 x)/75` shares = Rs `50 xx (130 x)/75` = Rs 86.667 x

Dividend = 12 %  of Rs 86.667 x = Rs `(12 xx 86.667 x)/100` = Rs 10.40 x  .........(ii)

Increase in annual income =Rs 360 =subtraction of (i) from (ii) 

Rs ( 10.40x - 8x) = Rs 360 

⇒  2.4x = Rs 360 

⇒  x = 150 

Therefore, Ramesh sold 150 shares 

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Chapter 3: Shares and Dividends - Exercise 4.3 [Page 66]

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Frank Mathematics Part 2 [English] Class 10 ICSE
Chapter 3 Shares and Dividends
Exercise 4.3 | Q 1 | Page 66

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