Advertisements
Advertisements
Question
Saurav invested 10%, 30% and 40% of his savings in buying shares of 3 different companies A, B and C which declared dividends of 12%, 15% and 16% respectively. If Saurav's total income from dividends is Rs 3,025, find his savings and the amount invested in each company.
Advertisements
Solution
Let total savings be x.
Investment in company A = 10 % of x = `10/100 xx x = x/10`
Investment in company B = 30 % of x = `30/100 xx x = (3 x)/10 `
Investment in company C = 40 % of x = `40/100 xx x = (4 x)/10 = (2 x)/5`
Dividend given by company A = 12 % of `x/10`
`(12 xx x)/(100 xx 10) = 0.012 x` ........(i)
Dividend given by company B =15 % of `(3 x)/10`
=`(15 xx 3 x)/(100 xx 10) = 0.045 x` ...............(ii)
Dividend given by company C = 16 % of `(2 x)/5`
`(16 xx 2 x)/(100 xx 5) = 0.064 x` ..............(iii)
(i) + (ii) +(iii) =Rs 3,025 ........... (given)
(0.012 + 0.045 + 0.064)x = Rs 3,025
0.12 l x=Rs 3,025
x = Rs `3025/0.121` = Rs 25000
Hence, Saurav's savings = Rs 25,000
Investment in company A = Rs `x / 10` = Rs `25000/10` = Rs 2500
Investment in company B = Rs `(3 x) / 10` = Rs `75000/10` = Rs 7500
Investment in company C = Rs `(2 x) / 5` = Rs `50000/5` = Rs 10000
APPEARS IN
RELATED QUESTIONS
Rajat buys Rs. 80 shares at 30% premium in a company paying 18% dividend. Find:
(i) The market value of 150 shares.
(ii) Rajat’s annual income from these shares.
(iii) Rajat’s percentage return from this investment.
Anu has 750 shares of Rs 60 each of 'Tata Infotech' paying 15% dividend. Find her net income after paying 6% income tax.
Mahesh bought 600 shares of Rs 50 each of 'Excel Computers'. He sold one third of them when they were at a premium of Rs 20 and the remaining when they were at a discount of Rs 5. Find his gain or loss in the transaction.
Tarun invested Rs 24,000 and Rs 30,000 in buying Rs 100 at par shares of 'Vam Organics' and 'Hero Honda' which later declared dividend of 12% and 15% respectively. After collecting the dividends Tarun sold the shares as their prices had fallen by Rs 5 and Rs 10 respectively. Find Tarun's earnings from the above transactions.
Karan buys 125 shares of Rs 100 each of 'Reliance Technologies Ltd.' which pays a dividend of 6%. He buys them at such a price that he gets 4% of his money. At what price did Karan buy the share?
Which among these is a better investment:
15% at 80 or 12% at 75
Which among these is a better investment:
12.5% at 125 or 7.5% at 80
Usha sold 350 shares of Rs 150 each paying 6% dividend at Rs 120 and invested the proceeds in Rs 75 shares at par paying 8% dividend. Calculate the number of Rs 75 shares she bought and the change in her annual income.
Payal had Rs 125 shares of 'Asian Chemicals' paying 12% dividend. She sold them at Rs 150 and invested the proceeds in Rs 50 shares of 'Saras Chemicals' at Rs 40 and paying 10% dividend. She thus increased her income by Rs 825. Find the number of shares of 'Asian chemicals' that Payal sold.
Mamta invested Rs. 10,846 in buying the shares of a company at Rs. 17 each. If the face value of each share be? 10 and company paid 15% dividend at the end of the year, find the dividend earned by her.
