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
How much money will be required to buy 125, Rs. 30 shares at a discount of Rs. 3?
A man bought Rs. 40 shares at a discount of 40%. Find his income, if he invests Rs. 12,000 in these shares and receives a dividend at the rate of 11% on the face value of the shares.
Peter invests Rs. 5,625 in a company paying 7% per annum when a share of Rs. 10 stands from Rs. 12.50. Find Peter’s income from this investment.
If he sells 60% of these shares from Rs. 10 each, find his gain or loss in this transaction.
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.
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?
Rohit had 1000 shares of Rs 125 each of 'New Delhi Times' paying a dividend of 12%. He sold all of them at a market rate of Rs 150 and invested the proceeds in buying Rs 25 shares of BVL available at Rs 60 and paying 20% dividend. How many shares of BVL did Rohit buy and what is the change in his annual income?
Mr Lal wants to give a monthly scholarship of Rs 225 to a poor student. How many 15%, Rs 100 shares of 'Mercantile Co-operative Bank' should he purchase to realize his aim? What will be his investment if the market price of the share is Rs 120?
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.
Ananth had Rs 50 shares of 'Esco' paying 6% dividend. He sold them at a market price of Rs 80 and invested the proceeds in buying Rs 100 shares of 'Y2K Software' at Rs 150 and paying 11% dividend. He thus increased his annual income by Rs 2,150. How many shares of 'Esco' did he sell?
