English

Bhargav buys 400, twenty-dollar shares at a premium of Rs. 4 each and receives a dividend of 12%. Find: (i) The amount invested by Bhargav (ii) His total income from the shares. - Mathematics and Statistics

Advertisements
Advertisements

Question

Bhargav buys 400, twenty-dollar shares at a premium of Rs. 4 each and receives a dividend of 12%.

Find:

(i) The amount invested by Bhargav

(ii) His total income from the shares.

(iii) Percentage return on his money.

Sum

Solution

Given that,

Face value of the shares (F.V.) = ₹ 20

Premium = ₹ 4

∴ The market value of the shares (M.V.) = ₹ 24

Dividend = 12 %

∴ Annual income from the share = `12/100 xx 20`

= ₹ 2.4

Bhargav buys 400 shares

i.  The amount invested by Bhargav

= number of shares × market value

= 400 × 24 = ₹ 9600

ii. Bhargav’s income from the shares

= number of shares  × annual income from one share

= 400 × 2.4 = ₹ 960

iii. Percentage return on Bhargav’s money

= `"Total annual income"/"Total amount invested" xx 100`

= `960/9600 xx 100`

= 10%

∴ Bhargav gets 10% as the rate of return on his money.

shaalaa.com
Shares and Dividends
  Is there an error in this question or solution?
Chapter 9: Commercial Mathematics - Exercise 9.7 [Page 142]

APPEARS IN

RELATED QUESTIONS

Shantanu has a choice to invest in Rs.10 shares of two firms at Rs.13 or at Rs.16. If the first firm pays a 5% dividend and the second firm pays a 6% dividend per annum,

find:

(i) Which firm is paying better?

(ii) If Shantanu invests equally in both the firms and the difference between the return from them is Rs. 30. Find how much, in all, does he invest.


A dividend of 9% was declared on Rs.100 shares selling at a certain price in the stock market. If the rate of return is 7.5%, calculate

(i) The market price of each share, and

(ii) The amount to be invested to obtain an annual dividend of Rs. 630.


Nilesh has the option of investing his money in 8% Rs. 10 shares at a premium of Rs.3.50 or 7% Rs. 100 shares at a premium of 20%. Which of the two investments will be more profitable for him?


Sudhakar invests Rs. 1344 in buying shares of face value Rs.24 selling at 12% premium. The dividend on the shares is 15% per annum. Calculate

(i) The number of shares Sudhakar buys, and

(ii) The dividend he receives annually.


Sameer invests Rs. 5625 in a company paying 7% per annum when the share of Rs. 10 stands for Rs.12.50. Find Sameer’s income from this investment. If he sells 60 % of these shares for Rs.10 each, find his gain or loss in this transaction.


Tejas invests in 9% Rs. 100 shares at Rs. 145 but Shail invests in 7% Rs. 100 shares at Rs.116. whose investment is better?


A 6% share yields 8%. Find the market value of a Rs 100 share.


Ashwini bought Rs. 40 shares at a premium of 40%. Find the income, if Ashwini invests Rs. 14000 in these shares and receives a dividend at the rate of 8% on the nominal value of the shares.


Rasika bought Rs. 40 shares at a discount of 40%. Find the income, if she invests Rs.12000 in these shares and receives a dividend at the rate of 11% on the nominal value of the shares.


Nisha invests Rs. 15840 in buying shares of nominal value Rs.24 selling at a premium of 10%. The company pays a 15% dividend annually.

Find

(i) The dividend she receives annually, and

(ii) The rate of return from her investment.


Vaishnavi bought 1000, Rs.100 shares from the stock market carrying an 8% dividend quoted at Rs.130. A few days later the market value of the shares went up by 10%. Vaishnavi sold all her shares. What was her total income from this transaction?


Mr. Dinesh invests Rs. 20800 in 6% Rs. 100 shares at Rs. 104, and Rs. 14300 in 10.5% Rs. 100 shares at Rs.143. What will be his annual income from the shares?


Ashutosh buys 400, Rs. 100 shares at a discount of 20 % and receives a return of 12% on his money. Calculate:

(i) The amount invested by Ashutosh.

(ii) The rate of dividend paid by the company.


A company declares a semi-annual dividend of 5%. Daniel has 400 shares of the company. If Daniel’s annual income from the shares is Rs. 1000, find the face value of each share.


Varun invested 25%, 30%, and 20% of his savings in buying shares of three different companies. ‘A’, ‘B’ and ‘C’ which declared dividends. 10%, 12% and 15% respectively. If his total income on account of dividends is Rs. 6370/-, find the amount he invested in buying shares of company ‘B’.


Find the annual dividend received from Rs. 25000, 8% stock at 108.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×