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Solution: Total investment = ₹ 8,800 Nominal value of 1 share = ₹ 100 Market value of 1 share = ₹ 110 ∴ No of shares purchased = $$\frac { 8800 }{ 110 }$$ = 80 Nominal value of 80 shares = 80 × 100= ₹ 8,000 Let dividend% = y% then y% of ₹ 8,000 = ₹ 1,200 ⇒ $$\frac { y }{ 100 }$$ × 8,000 = 1,200 ⇒ y = 15%, Question 14. Find […] Rs. Find : (i) Number of shares he purchases. 25 shares of a company. The Selina Solutions for Class 10 Maths is a great asset to students for any quick reference or doubt clearance of any concept. 50 shares of a company are quoted at a discount of 10%. Find the cost of 85 shares of ₹ 60 each when quoted at ₹ 63.25. By investing ₹ 45,000 in 10% ₹ 100 shares, Sharad gets ₹ 3,000 as dividend. Mr. Sharma has 60 shares of nominal value ₹ 100 and decides to sell them when they are at a premium of 60%. Calculate: (i) the number of shares he buys; (ii) the dividend he receives annually. Question 8: Salman buys 50 shares of face value Rs. ... ( including his dividend) in 18 % ,Rs 25 shares at Rs 41 each. Solution: Nominal value of 1 share = ₹ 60 Nominal value 250 shares= ₹ 60 x 250= ₹ 15,000 Dividend = 5% of ₹ 15,000 = $$\frac { 5 }{ 100 }$$ × 15,000 = ₹ 750, Question 7. Calculate: i) The number of shares he buys; ii) The dividend he receives annually; iii) The rate of interest he gets on his money. He sells the shares when the price rises to Rs. If his incomes from these shares is ₹ 5,600 calculate: (i) His investment in shares on the whole (ii) The number of shares of first kind that he bought (iii) Percentage return, on the shares bought on the whole. Find; i) The number of shares he has in the company. (iv) Change in the two dividends. Rohit sold the shares when the price rose to ₹ 160. A man invested ₹ 45,000 in 15% Rs100shares quoted at ₹ 125. (i) Calculate the total amount of dividend paid by the company. If he earns ₹ 1,200 at the end of the year as dividend, find: (i) the number of shares he has in the company. Calculate: i) The number of shares he buys; ii) The dividend he receives. [3] If 100 shares are available at a discount of 10%. 20 paying 8% dividend. 50 shares, paying 15% dividend quoted at 20% premium. Access all questions and answers of ICSE Class 10 Maths. Find his profit and profit percent. 2,475, find the : (i) number of shares he bought. View Lessons & Exercises for Shares and dividends - An example → ... My children are unable to cope with the pace of topics being taught in class. The _____ of share is the maximum amount at which the share can issued. Solution: 1st case Nominal value of 1 share = ₹ 20 Nominal value of 400 shares = ₹ 20 x 400= ₹ 8,000 Market value of 1 share = ₹ 18 Market value of 400 shares = ₹ 18 x 400= ₹ 7,200 Dividend% = 5% Dividend = 5% of ₹ 8,000 = $$\frac { 5 }{ 100 }$$ × 8,000 = ₹ 400 2nd case Nominal value of 1 share = ₹ 10 Market value of 1 share = ₹ 12 ∴ No of shares purchased = $$\frac { 7,200 }{ 12 }$$ = 600 shares Nominal value of 600 shares = ₹ 10 x 600 = ₹ 6,000 Dividend% = 7% Dividend = 7% of ₹ 6,000 = $$\frac { 7 }{ 100 }$$ × 6,000 = ₹ 420 Annual change in income = ₹ 420 – ₹ 400 = ₹ 20 increase, Question 19. (ii) market value of each share. Solution: Nominal value of 1 share = ₹ 100 Market value of 1 share = ₹ 100 + ₹ 20 = ₹ 120 Profit% on investment of 1 share =15% Then profit= 15% of ₹ 120 = ₹ 18 ∴ Dividend% = $$\frac { 18 }{ 100 }$$ × 100% = 18%, Question 4. of shares purchased = y Nominal value of y shares = 100 x y = ₹ (100y) Dividend% = 10% Dividend = ₹ 500. Solution: Nominal value of 120 shares = ₹ 40 × 120= ₹ 4,800 Market value of 120 shares = ₹ 42.50 × 120= ₹ 5,100 His profit = ₹ 5,100 – ₹ 4,800 = ₹ 300 profit = $$\frac { 300 }{ 4800 }$$ × 100% = 6.25%, Question 4. 140, he sold some shares, just enough to raise Rs. 500. Find : (i) his annual income (ii) his percentage income on his investment. Therefore to earn 150 Rs. Mr. Gupta has a choice to invest in ten-rupee shares of two firms at ₹ 13 or at ₹ 16. 30, and invests the proceeds in 12% Rs. Selina Publishers Concise Mathematics Class 10 ICSE Solutions Chapter 3 Shares and Dividends. (ii) Ramesh had bought 90 shares of the company at ₹ 150 per share. A man buys 400, twenty-rupee shares at a premium of ₹ 4 each and receives a dividend of 12%. [2012], Question 5: A man invested Rs. By doing so, his income was increased by ₹ 4,800. Question 3: By investing Rs. Solution: 1st case Total investment = ₹ 4,500 Market value of 1 share = ₹ 15 ∴ No of shares purchased = $$\frac { 4,500 }{ 15 }$$ = 300 shares Nominal value of 1 share = ₹ 10 Nominal value of 300 shares = ₹ 10 × 300= ₹ 3,000 Dividend = 8% of ₹ 3,000 = $$\frac { 8 }{ 100 }$$ × 3,000 = ₹ 240 Sale price of 1 share = ₹ 30 Total sale price= ₹ 30 × 300= ₹ 9,000 (ii) new market price of 1 share= ₹ 125 ∴ No of shares purchased = $$\frac { 9,000 }{ 125 }$$ = 72 shares (iii) New nominal value of 1 share= ₹ 100 New nominal value of 72 shares = ₹ 100 × 72 = ₹ 7,200 Dividend% = 12% New dividend = 12% of ₹ 7,200 = $$\frac { 12 }{ 100 }$$ × 7,200 = ₹ 864 Change in annual income = ₹ 864 – ₹ 240 = ₹ 624, Question 16. 720. [1990], Question 4: A man invests Rs. Solution: Nominal value of 1 share = ₹ 20 Market value of 1 share = ₹ 20 + ₹ 4 = ₹ 24 No. Gopal has some ₹ 100 shares of company A, paying 10% dividend. Solution: Rate of dividend = 8% Investment = ₹ 52000 Market Rate = ₹ 100 – 20 = ₹ 80 No. Find the rate of dividend given by the company, the return on the investment on these shares being 20 percent. 500 is received. [1999] Answer: Nominal price of the share . A man invests ₹ 3,072 in a company paying 5% per annum, when its ₹ 10 share can be bought for ₹ 16 each. 26,400 in 12%, Rs. Find the annual change in his income. 100 available at Rs. 8400. calculate: i) The number of shares he still holds; ii) The dividend due to him on these remaining shares. Mr. Shameem invested 33 1/3% of his savings in 20% ₹ 50 shares quoted at ₹ 60 and the remainder of the savings in 10% ₹ 100 share quoted at ₹ 110. Change ), © 2020 ICSE / ISC / CBSE Mathematics Portal for K12 Students. 45,000 in 15% Rs.100 shares quoted at Rs. 1,200 at the end of the year as dividend. the rate of interest he gets on his money. Mr.Tiwari. Give your answer to the nearest integer. Commercial Mathematics: Project on Shares and dividends for Class X ICSE. ( Log Out /  Solution: Nominal value of 1 share = ₹ 5 Market value 1 share = ₹ 5 + ₹ 1.15 = ₹ 6.15 Total money invested = ₹ 800 No of shares purchased = $$\frac { 800 }{ 5 }$$ = 160 Market value of 160 shares = 160 × 6.15= ₹ 984 His profit = ₹ 984 – ₹ 800 = ₹ 184 profit = $$\frac { 184 }{ 800 }$$ × 100% = 23%, Question 6. 125, when the M.V. Ask a question on Maths and get answers by students, teacher and experts. (ii) his total income from the shares. If its ₹ 60 share is available in the market at a premium of 25%, how much should Rakesh invest, in buying the shares of this company, in order to have an annual income of ₹ 1,680? If the rate of return is 10%, calculate: (i) the market value of the shares. Solution: 1st case 16% of ₹ 100 shares at 80 means; Market value of 1 share = ₹ 80 Nominal value of 1 share = ₹ 100 Dividend = 16% Income on ₹ 80= 16% of ₹ 100 = ₹ 16 Income on ₹ 1 = $$\frac { 16 }{ 80 }$$ = ₹ 0.20 2nd case 20% of ₹ 100 shares at 120 means; Market value of 1 share = ₹ 120 Nominal value of 1 share = ₹ 100 Dividend = 20% Income on ₹ 120 = 20% of ₹ 100= ₹ 20 Income on ₹ 1 = $$\frac { 20 }{ 120 }$$ = ₹ 0.17 Then 16% ₹ 100 shares at 80 is better investment. Solution: Nominal value of 1 share = ₹ 100 Market value of 1 share = ₹ 110 Let no. Solution: Question 20. of shares sold = n Then sale price of 1 share = ₹ 140 Total sale price of n shares = ₹ 8,400 Then n = $$\frac { 8,400 }{ 140 }$$ = 60 shares The no. 150, how many extra shares should he buy? Knowledge about Shares and Dividends. To register Maths Tuitions on Vedantu.com to clear your doubts. A company declares 8 […] Question 17. A company declares 8 per cent dividend to the shareholders. Solution: Question 19. A buys 3% hundred-rupee shares at 80 and B buys ten-rupee shares at par. How much money will be required to buy 400, ₹ 12.50 shares at a premium of ₹ 1? Solution: Nominal value of 1 share = ₹ 60 Market value of 1 share = ₹ 60+ 25% of ₹ 60 = ₹ 60 + ₹ 15 = ₹ 75 Let no. (iii) the rate of interest he gets on his money. How much money will be required to buy 400, ₹ 12.50 shares at a premium of ₹ […] If the change in his income is ₹ 540, Find the sum invested originally Solution: Question 8. of shares purchased = n Then nominal value of n shares = ₹ (100n) Dividend% = 12% Dividend = ₹ 1,680 Then market value of 140 shares= 140 × 110 = ₹ 15,400, Question 7. At the end of one year he sells the shares at a premium of Rs. Hundred rupee shares of a company are available in the market at a premium of ₹ 20. Find 1) His gain or loss after 1 year. A man buys ₹ 75 shares at a discount of ₹ 15 of a company paying 20% dividend. 30, and invests the proceeds in 12% Rs. 79 Qs. Question 9. Calculate the dividend he receives and the percentage of return on his investment. ICSE Class 10 Foundation Concise Maths II Shares and Dividend. A lady holds 1800, ₹ 100 shares of a company that pays 15% dividend annually. And, the amount obtained on selling x shares = Rs 80x How much money will be required to buy 250, ₹ 15 shares at a discount of ₹ 1.50? Reply. (i) What is the total amount of dividend paid by the company? Also find his yield percent, to the nearest whole number. more, one needs to buy. Fill in your details below or click an icon to log in: You are commenting using your WordPress.com account. Ashok invested Rs. 125, when the M.V. Find the rate of dividend given by the company, the return on the investment on these shares being 20 percent. 15 each available at Rs. If his total income from these investments is ₹ 9,200; find : (i) his total savings (ii) the number of ₹ 50 share (iii) the number of ₹ 100 share. Sort. 600, Calculate; i) The number of shares he bought; ii) His total investment;  ii) The rate of return on his investment. [2004], Question 6: Vivek invests Rs. Rate of dividend = 10% Total income = Rs. Find: (i) the amount invested by him. Question 1: A man invests Rs. more, one needs to buy  shares. A man invests ₹ 7,770 in a company paying 5% dividend when a share of nominal value of ₹ 100 sells at a premium of ₹ 5. When the shares fell to ₹ 96, he sold out all the shares bought and invested the proceed in 10%, ten-rupee shares at ₹ 8. Mr.Parekh invested ₹ 52,000 on ₹ 100 shares at a discount of ₹ 20 paying 8% dividend. iii) If he wants to increase his annual income by Rs. At the end of one year he sells the shares at a premium of ₹ 20. Mathematics / Shares and Dividends. Free PDF download of Class 10 Mathematics Chapter 3 - Shares and Dividend Revision Notes & Short Key-notes prepared by our expert Math teachers as per CISCE guidelines . Hope given Selina Concise Mathematics Class 10 ICSE Solutions Chapter 3 Shares and Dividend Ex 3A are helpful to complete your math homework. A man invests a certain sum on buying 15% ₹ 100 shares at 20% premium. Learn Insta try to provide online math tutoring for you. Solution: Nominal value of 1 share = ₹ 50 Market value of 1 share = ₹ 50 + ₹ 10 = ₹ 60 Market value of 320 shares = 320 x 60 = ₹ 19,200 Nominal value of 320 shares = 320 x 5 = ₹ 16,000, Question 10. ₹ 50 shares of a company are quoted at a discount of 10%. (ii) Income on investment of ₹ 26,400 in fi₹ t firm = $$\frac { 5 }{ 120 }$$ × 26,400 = ₹ 1,100 Income on investment of ₹ 26,400 in second firm = $$\frac { 6 }{ 132 }$$ × 26,400 = ₹ 1,200 ∴ Difference between both returns = ₹ 1,200 – ₹ 1,100 = ₹ 100, Question 17. Calculate : (i) the number of shares he buys. 2.50 premium. If the first firm pays 5% dividend and the second firm pays 6% dividend per annum, find: (i) which firm is paying better. 500 is received. 20; find: i) The annual dividend;  ii) The profit earned including his dividend. Solution: Nominal value of 1 share = ₹ 75 Market value of 1 share = ₹ 75 – ₹ 15 = ₹ 60 Market value of 120 shares = 120 × 60 = ₹ 7,200 Nominal value of 120 shares = 120 × 75 = ₹ 9,000, Question 11.