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Archana Bought 250 Shares of Rs 50 Each of 'Indal' Paying 12% of Dividend. She Bought Them at Such a Price that She Gets 15% Return on Her Investment. at What Share Did She Buy the Shares?

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Question

Archana bought 250 shares of Rs 50 each of 'Indal' paying 12% of dividend. She bought them at such a price that she gets 15% return on her investment. At what share did she buy the shares?

Sum
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Solution

Let Archana's investment be x. 

Face value of 250 shares= Rs (50 x 250) =Rs 12,500

Dividend for 250 shares = 12 % of Rs 12500 = Rs `(12 xx 12500)/100` = Rs 1500

She gets Rs 1,500 as dividend which is equal to 15°/o of money invested 

⇒ `(15 x)/100` = Rs 1500

⇒ x = Rs 10000

Hence, Archana invested Rs 10,000. 

No. of shares bought by Archana = 250 

Value of a share = Rs `10000/250` = Rs 40

Archana bought a share for Rs 40.  

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Chapter 3: Shares and Dividends - Exercise 4.2 [Page 64]

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Frank Mathematics Part 2 [English] Class 10 ICSE
Chapter 3 Shares and Dividends
Exercise 4.2 | Q 7 | Page 64

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