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.
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?
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.
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?
Vikram bought 200 shares of Rs 25 each of 'Calcutta Jute Co.' paying 8% of dividend. Vikram bought them at such a price that he gets 10% of his money. At what price did he buy the share?
Which among these is a better investment:
15% at 80 or 12% at 75
Which among these is a better investment:
18% at 120 or 22% 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.
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?
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.
