Advertisements
Advertisements
प्रश्न
Akanksha invested 15%, 25% and 35% of her savings in buying shares of 'Infosys', 'Wipro' and 'Reliance' which declared dividends of 16%, 18% and 20% respectively. If her total income from dividends is Rs 52,125, find her savings and the amount invested in each company.
उत्तर
Let total savings be x.
Investment in ' Infosys' = 15 % of x = `15/100 xx x = (3 x)/20`
Investment in 'Wipro' = 25 % of x = `25/100 xx x = (x)/4`
Investment in 'Reliance' = 35 % of x = `35/100 xx x = (7 x)/20`
Dividend given by 'Infosys' = 16 % of `(3 x)/20`
`= (16 xx 3 x)/(100 xx 20) = 0.024 x` ...........(i)
Dividend given by 'Wipro' = 18 % of `(x)/4`
`= (18 xx x)/(100 xx 4) = 0.045 x` ..........(ii)
Dividend given by 'Reliance' = 20 % of `(7 x)/20`
`= (20 xx 7 x)/(100 xx20) = 0.07 x` ...............(iii)
(i) + (ii) + (iii) = Rs 52, 125 ........... (given)
(0.024 + 0.045 + 0.07 )x = Rs 52, 125
0.139 x=Rs 52, 125
x = Rs `52125/0.139` = Rs 375000
Hence, Akanksha's savings = Rs 3,75,000
Investment in 'Infosys' = Rs `(3 x)/20` = Rs `(3 xx 375000)/20` = Rs 56250
Investment in 'Wipro' = Rs `x/4` = Rs `375000/4` = Rs 93750
Investment in 'Reliance' = Rs `(7 x)/20` = Rs `(7 xx 375000)/20` = Rs 131250
APPEARS IN
संबंधित प्रश्न
A man invests Rs. 22,500 in Rs. 50 shares available at 10% discount. If the dividend paid by the company is 12%, calculate:
1) The number of shares purchased
2) The annual dividend received.
3) The rate of return he gets on his investment. Give your answer correct to the nearest whole number.
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.
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
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.
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?
Gayathri wants to have a monthly income of Rs 500.For this she purchased Rs 75 shares of 'V.G.Electronics' paying 20% dividend. How many shares did Gayathri purchased and what is her investment if the market price of the share is Rs 62.50?
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.
Which in better investment: 7% Rs. 100 shares at Rs.120 or 8% Rs. 10 shares at Rs. 13.50.
