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Krithika Wants to Invest Rs 10,000 in Shares of Different Companies Such that the Percentage Return on Her Investment is 8%. - Mathematics

Sum

Krithika wants to invest Rs 10,000 in shares of different companies such that the percentage return on her investment is 8%. She invested Rs 4,500 in 6% Rs 100 shares at Rs 75, Rs 2,500 in 8% Rs 100 shares at par and the rest in 16% Rs 100 shares. Find the rate at which she bought the 16% shares.

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Solution

Money invested =Rs 10,000 

For 6 %  shares: 

Market value = Rs 75 

Amount invested =Rs 4,500 

Income from investment= Rs `6/75 xx 4500` = Rs 360

For 8 %  shares: 

Market Value = Rs 100 

Amount invested = Rs 2,500 

Income from investment = Rs `8/100 xx 2500`= Rs 200

For 16 % shares: 

Market value = Rs x 

Amount invested =Rs ( 10,000-4,500-2,500) =Rs 3,000 

Income from investment = Rs `16/x xx 3000` = Rs `48000/x`

Total investment from shares = Rs360 + Rs200 +Rs `48000/x`

Krithika wants 8 % return on his investment 

`8/100 xx  "Rs"  10000` = Rs 800

Therefore, 

Rs 800 = Rs 360 + Rs 200 + Rs `48000/x`

Rs 240x = Rs 48, 000

x = Rs200 

Hence, Krithika bought 16 %  shares at Rs 200 per share.  

Concept: Shares and Dividends Examples
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APPEARS IN

Frank ICSE Class 10 Mathematics Part 2
Chapter 4 Shares and Dividends
Exercise 4.3 | Q 4 | Page 66
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