A man invests rs x in a company A, offering share of rs 100 at rs 80 each paying 12% divided .he also invest rs x in some company B .offering share of rs 100 at rs 120 each paying 16% dividend. he find that if he had bought equal number of shares of each company with his total investment of rs 2x , his income would have been rs 20 less. find x
Answers
X = 600000 if Man has bought equal share rather than equal investment and loss of income = rs 20
Step-by-step explanation:
Man invest Rs X in Each Type share
Company A Shares = X/80
Dividend = (12/100) * (X/80) = 3X /2000
Company B Shares = X/120
Dividend = (16/100) * (X/120) = 4X /3000
Total Dividend = 3X /2000 + 4X/3000 = 17X/6000
Equal number of Shares = y
80 y + 120y = 2X
=> 200y = 2X
=> y = X/100
Dividend from A = (12/100)X/100 = 12X/10000
Dividend from B = (16/100)X/100 = 16X/10000
Total Dividend = 28X/10000
17X/6000 - 20 = 28X/10000
multiplying both sides by 30000
=> 85X - 600000 = 84X
=> X = 600000
Verification :
7500 * (12/100) = 900
5000 * (16/100) = 800
900 + 800 = 1700
6000 * (12/100) = 720
6000 * (16/100) = 960
720 + 960 = 1680
1700 - 1680 = 20
Learn More :
Mr.Amol purchased 50 shares of Face Value
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