Advertisements
Advertisements
प्रश्न
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.
Advertisements
उत्तर
For shares of 'Asian Chemicals':
Let x be the no. of shares sold by Pay al.
Nominal value of each share =Rs 125
Face value of x shares = Rs 125x
Market value of each share = Rs 150
Market value of x shares = Rs 150x = proceeds from selling
Dividend = 12 % of Rs 125x = `12/100` x Rs 125 x = Rs 15 x .......... (i)
For shares of 'Saras Chemicals':
Market value of each share = Rs 40
Number of shares bought= proceeds from selling 'Asian Chemicals' /market value of 'Saras Chemicals'
=`(150 x)/40 = (15 x)/4`
Nominal value of each share =Rs 50
Face value of `(15 x)/4` shares = Rs `50 xx (15 x)/4` = Rs 187.5 x
Dividend = 10 % of Rs 187.5 x = Rs `(10 xx 187.5 x)/100` = Rs 18.75 x ......(ii)
Increase in annual income =Rs 825 =subtraction of (i) from (ii)
Rs (18.75x-15x) =Rs 825
⇒ 3.75x =Rs 825
⇒ x = 220
Therefore, Payal sold 220 shares
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:
- The number of shares purchased.
- The annual dividend received.
- The rate of return he gets on his investment. Give your answer correct to the nearest whole number.
How much money will be required to buy 200, Rs. 25 shares at a premium of Rs. 2?
How much money will be required to buy 125, Rs. 30 shares at a discount of Rs. 3?
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.
Divya invested Rs 50,000 in buying shares of Rs 125 each of 'Hitech Technologies'. She sold half of them when they were at a premium of 24% and the remaining half when they were at a discount of 20%. Find her 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.
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.
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?
Which in better investment: 7% Rs. 100 shares at Rs.120 or 8% Rs. 10 shares at Rs. 13.50.
