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.
Advertisements
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
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.
A company gives x% dividend on its Rs. 60 shares, whereas the return on the investment in these shares is (x + 3) %. If the market value of each share is Rs. 50, find the value of x.
Mr. Gupta has a choice to invest in ten-rupee shares of two firm at Rs. 13 or at Rs. 16. If the first firm pays 5% dividend and the second firm pays 6% dividend per annum, find:
- which firm is paying better.
- if Mr. Gupta invests equally in both the firms and the difference between the returns from them is Rs. 30, find how much, in all, does he invest?
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.
Which among these is a better investment:
12% at 125 or 16% at 150
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.
Pramod wants to invest Rs 35,000 in shares such that the percentage return on his investment is `8 1/7 %`. He invested Rs 6,000 in 6 % Rs 50 shares of 'Lakme' at Rs 40, Rs 15,000 in 8 % Rs 100 shares of 'Volta' at Rs 125 and the remaining in 12 % shares of 'BPL'. At what rate did he buy the 'BPL' shares?
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.
Ajay owns 560 shares of a company. The face value of each share is Rs. 25. The company declares a dividend of 9%.
Calculate:
- The dividend that Ajay will get.
- The rate of interest on his investment, if Ajay had paid Rs. 30 for each share.
