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
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?
Yash has 1200 shares of Rs 150 each of 'Honeywell Corporation' paying 18% dividend. Find his net income after paying.
Ashutosh invested Rs 58,500 in buying shares of Rs 150 each of 'Van Chemicals', when it was available in the market at a premium of 30%. He sells one third of them at a market rate of Rs 215, one third of them at a market rate of Rs 195 and the rest at Rs 175. Find his loss or gain from the transaction.
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.
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.
Amitesh had 400 shares of Rs 100 each of 'Telco' paying a dividend of 12.5%. He sold them at a market price of Rs 125 and invested the proceeds in Rs 50 shares of 'Adani Motors' available in the market at Rs 80 and paying a dividend of 16%. How many shares of Adani Motors did Amitesh buy and what is the change in his annual income?
Mr Lele sold 250 shares of Rs 75 each of 'IOCL' paying 8% of dividend at Rs 112. He invested the proceeds in buying Rs 125 shares of HPCL paying 8% of dividend available at Rs 140. Calculate the number of shares of HPCL that Mr Lele bought and the change in his annual income.
Krithika wants to invest Rs 10,000 in shares of different companies such that the percentage return on her investment is 8%. She invested Rs 4,500 in 6% Rs 100 shares at Rs 75, Rs 2,500 in 8% Rs 100 shares at par and the rest in 16% Rs 100 shares. Find the rate at which she bought the 16% 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.
