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Amitesh Had 400 Shares of Rs 100 Each of 'Telco' Paying a Dividend of 12.5%. - Mathematics

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Question

Amitesh had 400 shares of Rs 100 each of 'Telco' paying a dividend of 12.5%. He sold them at a market price of Rs 125 and invested the proceeds in Rs 50 shares of 'Adani Motors' available in the market at Rs 80 and paying a dividend of 16%. How many shares of Adani Motors did Amitesh buy and what is the change in his annual income?

Sum
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Solution

In first case: No. of shares sold = 400 

Face value of each share = Rs 100 

Face value of 400 shares =Rs ( 100 x 400) =Rs 40,000 

Market value of each share = Rs 125 

Market value of 400 shares =Rs ( 125 x 400) =Rs 50,000 

Dividend (income) for 400 shares = 12.5 %  of Rs 40,000 = Rs `(12.5 xx 40000)/100` = Rs 5000

In second case: 

Proceeds from selling 400 shares =Rs 50,000 

Face value of each share =Rs 50 

Market value of each share = Rs 80 

No. of shares bought = `50000/80 = 625`

Amitesh bought 625 shares of Rs 80 each.

Face value of 625 shares = Rs ( 50 x 625) = Rs 31,250 

Dividend (income) for 625 shares = 16 % of Rs 31,250 = Rs `(16 xx 31250)/100` = Rs 5000

Change in annual income =Rs (5,000 - 5,000) =Rs 0 =Nil 

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Chapter 4: Shares and Dividends - Exercise 4.2 [Page 64]

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Frank Mathematics - Part 2 [English] Class 10 ICSE
Chapter 4 Shares and Dividends
Exercise 4.2 | Q 10 | Page 64

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