Class 12 CBSE Applied Maths Stocks, Shares & Debentures Exercise 13.1
Class 12 CBSE Applied Maths aims to develop an understanding of basic
mathematical and statistical tools and their
applications in the field of commerce (business/ finance/economics) and social
sciences. Topics covered in Class 12th Applied Maths includes : Numbers, Quantification and
Numerical Applications, Algebra, Calculus, Probability Distributions , Inferential Statistics, Index
Numbers and Time-based data , Financial Mathematics , Linear Programming.
Please Select
Q1. Aman invests a sum of money in Rs 100 shares, paying 15% dividend quoted at 20% premium. If his annual dividend is Rs 540, calculate his total investment.
Solution :
Q2.
A company with 10000 shares of nominal value Rs 100 declares an annual dividend of 8% to
the shareholders.
(i) Calculate the total amount of dividend paid by the company.
(ii) Ramesh had bought 90 shares of the company at Rs 150 per share. Calculate the dividend he receives and his investment.
Solution :
Q3. 4 lady holds 1800, Rs 100 shares of a company that pays 15% dividend annually. Calculate her annual dividend. If she had bought these shares at 40% premium, find her investment.
Solution :
Q4. Ashok invests in Rs 25 shares selling at Rs 36 and obtained an income of Rs 720. If the company declared dividend of 12%, find the number of shares bought by Ashok. Also find his investment.
Solution :
Q5. Ravi invested Rs 6250 in shares of a company paying 6% per annum. If he bought Rs 25 share for Rs 31.25 each, find his annual income from this investment.
Solution :
Q6. 4 man invests Rs 4800 in shares of a company which was paying 8% dividend at the time when a Rs 100 share cost Rs 160. Find his annual income from the shares.
Solution :
Q7. A owns 500 shares of Rs 10 each. Find A’s income, if 14% dividend is declared on these shares in a certain year.
Solution :
Q8. A man buys shares at the par value of Rs 10 yielding 8% dividend at the end of a year. Find the number of shares bought if he receives a dividend of Rs 300.
Solution :
Q9. A company pays a dividend of 15% on its ten-rupee shares from which it deducts tax at the rate of 22%. Find the annual income of a man who owns one thousand shares of this company.
Solution :
Q10.
A man bought 1000 shares each of face value Rs 5 at Rs 7 per share. At the end of the year, the
company from which he bought the shares declared dividend of 8 percent. Calculate
(i) the amount of money invested by the man.
(ii) the amount of dividend received.
Solution :
Q11. Arun 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 Arun would receive.
Solution :
Q12. By investing Rs 7500 in a company paying 10 percent dividend, an income of Rs 500 is received. What price is paid for each Rs 100 share?
Solution :
Q13. A man invests Rs 8000 in a company paying 8% dividend, when a share of face value of Rs 100 is selling at Rs 60 premium. What is his annual income?
Solution :
Q14.
Aman buys 400 ten-rupee shares at a premium of Rs 2.50 on each share. If the rate of dividend
is 8%, find
(i) his investment (ii) dividend received.
Solution :
Q15. A man invests Rs 10400 in 6% shares at £104 and Rs 11440 in 10.4% shares at Rs 143. How much income would he get in all?
Solution :
Q16.
Mr. Sharma has 60 shares of nominal value Rs 100 and he decides to sell them when they are
at a premium of 60%. He invests the proceeds in shares of nominal value Rs 50, quoted at 4%
discount, paying 18% dividend annually. Calculate:
(i) the sale proceeds.
(ii) the number of shares he buys.
(iii) his annual dividend from these shares.
Solution :
Q17. Two companies have shares of 7% at Rs 116 and 9% at Rs 145 respectively. In which of the shares would the investment be more profitable?
Solution :
Q18. Which is better investment: 6% Rs 100 shares at Rs 120 or 8% Rs 10 shares at Rs 15?
Solution :
Q19. A man has a choice to invest in hundred-rupee shares of two firms at Rs 120 each or at Rs 132 each. The first firm pays a dividend of 5% per annum and the second firm pays a dividend of 6% per annum. How much more will his annual return be if he invests Rs 26400 with the firm from which he gets a better return on his investment?
Solution :
Q20. Mukul invests Rs 9000 in a company paying a dividend of 6% per annum when a share of face value Rs 100 stands at Rs 150. What is his annual income? He sells 50% of his shares when the price rises to Rs 200. What is his gain on this transaction?
Solution :
Q21. A man invests Rs 10080 in 6% hundred-rupee shares at Rs 112. Find his annual income. When the shares fall to Rs 96 he sells out the shares and invests the proceeds in 10% ten-rupee shares at Rs 8. Find the change in his annual income.
Solution :
Q22. A man bought 360 ten-rupee shares paying 12% per annum. He sold them when the price rose to Rs 21 and invested the proceeds in five-rupee shares paying 4(1/2)% per annum at Rs 3.5 per share. Find the annual change in his income.
Solution :
Q23. A person invests Rs 4368 and buys certain hundred-rupee shares at 91. He sells out shares worth Rs 2280 when they have risen to 95 and the remainder when they have fallen to 85. Find the gain or loss on the total transaction.
Solution :
Q24. Mr. Ravi invests Rs 80000 in 10% Rs 100 shares at 25% premium. Find the annual income if the income-tax is deducted at the rate of 20%. Later on, he sells half the shares at Rs 140 and invests the sale value in 15% Rs 10 shares available at 20% discount. Find his new annual income, if the income tax is deducted at the same rate.
Solution :
Q25. A person invested Rs 8000 and Rs 10000 in buying shares of two companies which later on declared dividends of 12% and 8% respectively. He collects the dividends and sells out all his shares at a loss of 2% and 3% respectively on the investment. Find his total gain from the above transaction.
Solution :
Q26. By purchasing Rs 50 gas shares for Rs 80 each, a man gets 4% profit on his investment. What rate percent is company paying? What is his dividend if he buys 200 shares?
Solution :
Q27. Gaurav wants to invest 3600. He invests Rs 750 in hundred-rupee shares of 3.5% at Rs 75, Rs 1050 in shares of 3% at Rs 70 and the remaining in shares on 6%. If his total yield is 5(5/9)% of his investment, at what price did he buy shares of 6%?
Solution :
