Tamil Nadu Board of Secondary EducationHSC Commerce Class 11th
Advertisement Remove all ads

Tamil Nadu Board Samacheer Kalvi solutions for Class 11th Business Mathematics and Statistics Answers Guide chapter 7 - Financial Mathematics [Latest edition]

Chapters

Class 11th Business Mathematics and Statistics Answers Guide - Shaalaa.com
Advertisement Remove all ads
Advertisement Remove all ads
Advertisement Remove all ads

Chapter 7: Financial Mathematics

Exercise 7.1Exercise 7.2Exercise 7.3Miscellaneous Problems
Advertisement Remove all ads
Exercise 7.1 [Pages 166 - 167]

Tamil Nadu Board Samacheer Kalvi solutions for Class 11th Business Mathematics and Statistics Answers Guide Chapter 7 Financial MathematicsExercise 7.1 [Pages 166 - 167]

Exercise 7.1 | Q 1 | Page 166

Find the amount of an ordinary annuity of ₹ 3,200 per annum for 12 years at the rate of interest of 10% per year. [(1.1)12 = 3.1384]

Exercise 7.1 | Q 2 | Page 166

If the payment of ₹ 2,000 is made at the end of every quarter for 10 years at the rate of 8% per year, then find the amount of annuity. [(1.02)40 = 2.2080]

Exercise 7.1 | Q 3 | Page 166

Find the amount of an ordinary annuity of 12 monthly payments of ₹ 1,500 that earns interest at 12% per annum compounded monthly. [(1.01)12 = 1.1262]

Exercise 7.1 | Q 4 | Page 167

A bank pays 8% per annum interest compounded quarterly. Find the equal deposits to be made at the end of each quarter for 10 years to have ₹ 30,200? [(1.02)40 = 2.2080]

Exercise 7.1 | Q 5 | Page 167

A person deposits ₹ 2,000 at the end of every month from his salary towards his contributory pension scheme. The same amount is credited by his employer also. If 8% rate of compound interest is paid, then find the maturity amount at end of 20 years of service. [(1.0067)240 = 4.9661]

Exercise 7.1 | Q 6 | Page 167

Find the present value of ₹ 2,000 per annum for 14 years at the rate of interest of 10% per annum. If the payments are made at the end of each payment period. [(1.1)–14 = 0.2632]

Exercise 7.1 | Q 7 | Page 167

Find the present value of an annuity of ₹ 900 payable at the end of 6th month for 6 years. The money compounded at 8% per annum. [(1.04)–12 = 0.6252]

Exercise 7.1 | Q 8 | Page 167

Find the amount at the end of 12 years of an annuity of ₹ 5,000 payable at the beginning of each year, if the money is compounded at 10% per annum. [(1.1)12 = 3.1384]

Exercise 7.1 | Q 9 | Page 167

What is the present value of an annuity due of ₹ 1,500 for 16 years at 8% per annum? What is the present value of an annuity due of ₹ 1,500 for 16 years at 8% per annum? [(1.08)16 = 3.172]

Exercise 7.1 | Q 10 | Page 167

What is the amount of perpetual annuity of ₹ 50 at 5% compound interest per year?

Exercise 7.2 [Pages 171 - 172]

Tamil Nadu Board Samacheer Kalvi solutions for Class 11th Business Mathematics and Statistics Answers Guide Chapter 7 Financial MathematicsExercise 7.2 [Pages 171 - 172]

Exercise 7.2 | Q 1 | Page 171

Find the market value of 62 shares available at ₹ 132 having the par value of ₹ 100.

Exercise 7.2 | Q 2 | Page 171

How much will be required to buy 125 of ₹ 25 shares at a discount of ₹ 7?

Exercise 7.2 | Q 3 | Page 171

If the dividend received from 9% of ₹ 20 shares is ₹ 1,620, then find the number of shares.

Exercise 7.2 | Q 4 | Page 171

Mohan invested ₹ 29,040 in 15% of ₹ 100 shares of a company quoted at a premium of 20%. Calculate

  1. the number of shares bought by Mohan
  2. his annual income from shares
  3. the percentage return on his investment
Exercise 7.2 | Q 5 | Page 171

A man buys 400 of ₹ 10 shares at a premium of ₹ 2.50 on each share. If the rate of dividend is 12%, then find

  1. his investment
  2. annual dividend received by him
  3. rate of interest received by him on his money
Exercise 7.2 | Q 6 | Page 171

Sundar bought ₹ 4,500, 12% of ₹ 10 shares at par. He sold them when the price rose to ₹ 23 and invested the proceeds in ₹ 25 shares paying 10% per annum at ₹ 18. Find the change in his income.

Exercise 7.2 | Q 7 | Page 171

A man invests ₹ 13,500 partly in 6% of ₹ 100 shares at ₹ 140 and the remaining in 5% of ₹ 100 shares at ₹ 125. If his total income is ₹ 560, how much has he invested in each?

Exercise 7.2 | Q 8 | Page 171

Babu sold some ₹ 100 shares at 10% discount and invested his sales proceeds in 15% of ₹ 50 shares at ₹ 33. Had he sold his shares at 10% premium instead of 10% discount, he would have earned ₹ 450 more. Find the number of shares sold by him.

Exercise 7.2 | Q 9 | Page 171

Which is better investment? 7% of ₹ 100 shares at ₹ 120 (or) 8% of ₹ 100 shares at ₹ 135.

Exercise 7.2 | Q 10 | Page 172

Which is better investment? 20% stock at 140 (or) 10% stock at 70.

Exercise 7.3 [Pages 172 - 173]

Tamil Nadu Board Samacheer Kalvi solutions for Class 11th Business Mathematics and Statistics Answers Guide Chapter 7 Financial MathematicsExercise 7.3 [Pages 172 - 173]

Choose the correct answer

Exercise 7.3 | Q 1 | Page 172

The dividend received on 200 shares of face value ₹ 100 at 8% is __________.

  • ₹ 1600

  • ₹ 1000

  • ₹ 1500

  • ₹ 800

Exercise 7.3 | Q 2 | Page 172

What is the amount realised on selling 8% stock of 200 shares of face value ₹ 100 at ₹ 50?

  • ₹ 16,000

  • ₹ 10,000

  • ₹ 7,000

  • ₹ 9,000

Exercise 7.3 | Q 3 | Page 172

A man purchases a stock of ₹ 20,000 of face value ₹ 100 at a premium of 20%, then investment is ___________.

  • ₹ 20,000

  • ₹ 25,000

  • ₹ 24,000

  • ₹ 30,000

Exercise 7.3 | Q 4 | Page 172

If a man received a total dividend of ₹ 25,000 at 10% dividend rate on a stock of face value ₹ 100, then the number of shares purchased.

  • 3500

  • 4500

  • 2500

  • 300

Exercise 7.3 | Q 5 | Page 172

The brokerage paid by a person on the sale of 400 shares of face value ₹ 100 at 1% brokerage __________.

  • ₹ 600

  • ₹ 500

  • ₹ 200

  • ₹ 400

Exercise 7.3 | Q 6 | Page 172

Purchasing price of one share of face value ₹ 100 available at a discount of `9 1/2%` with brokerage `1/2%` is ____________.

  • ₹ 89

  • ₹ 90

  • ₹ 91

  • ₹ 95

Exercise 7.3 | Q 7 | Page 172

A person brought 100 shares of 9% stock of face value ₹ 100 at a discount of 10%, then the stock purchased is ____________.

  • ₹ 9000

  • ₹ 6000

  • ₹ 5000

  • ₹ 4000

Exercise 7.3 | Q 8 | Page 172

The % of income on 7% stock at ₹ 80 is ___________.

  • 9%

  • 8.75%

  • 8%

  • 7%

Exercise 7.3 | Q 9 | Page 172

The annual income on 500 shares of face value ₹ 100 at 15% is ___________.

  • ₹ 7,500

  • ₹ 5,000

  • ₹ 8,000

  • ₹ 8,500

Exercise 7.3 | Q 10 | Page 172

₹ 5000 is paid as perpetual annuity every year and the rate of C.I. 10%. Then present value P of immediate annuity is __________.

  • ₹ 60,000

  • ₹ 50,000

  • ₹ 10,000

  • ₹ 80,000

Exercise 7.3 | Q 11 | Page 172

If ‘a’ is the annual payment, ‘n’ is the number of periods and ‘i’ is compound interest for ₹ 1 then future amount of the ordinary annuity is

  • A = `"a"/"i" (1 + "i") [(1 + "i")^"n" - 1]`

  • A = `"a"/"i" [(1 + "i")^"n" - 1]`

  • P = `"a"/"i"`

  • P = `"a"/"i" (1 + "i") [1 - (1 + "i")^(-"n")]`

Exercise 7.3 | Q 12 | Page 172

A invested some money in 10% stock at ₹ 96. If B wants to invest in an equally good 12% stock, he must purchase a stock worth of ____________.

  • ₹ 80

  • ₹ 115.20

  • ₹ 120

  • ₹ 125.40

Exercise 7.3 | Q 13 | Page 173

An annuity in which payments are made at the beginning of each payment period is called ___________.

  • Annuity due

  • An immediate annuity

  • perpetual annuity

  • none of these

Exercise 7.3 | Q 14 | Page 173

The present value of the perpetual annuity of ₹ 2000 paid monthly at 10% compound interest is ___________.

  • ₹ 2,40,000

  • ₹ 6,00,000

  • ₹ 20,40,000

  • ₹ 2,00,400

Exercise 7.3 | Q 15 | Page 173

Example of contingent annuity is ___________.

  • Installments of payment for a plot of land

  • An endowment fund to give scholarships to a student

  • Personal loan from a bank

  • All the above

Miscellaneous Problems [Pages 173 - 179]

Tamil Nadu Board Samacheer Kalvi solutions for Class 11th Business Mathematics and Statistics Answers Guide Chapter 7 Financial MathematicsMiscellaneous Problems [Pages 173 - 179]

Miscellaneous Problems | Q 1 | Page 173

Find the amount of annuity of ₹ 2000 payable at the end of each year for 4 years of money is worth 10% compounded annually. [(1.1)4 = 1.4641]

Miscellaneous Problems | Q 2 | Page 173

An equipment is purchased on an installment basis such that ₹ 5000 on the signing of the contract and four-yearly installments of ₹ 3000 each payable at the end of first, second, third and the fourth year. If the interest is charged at 5% p.a find the cash down price. [(1.05)–4 = 0.8227]

Miscellaneous Problems | Q 3. (i) | Page 173

Find the amount of an ordinary annuity of ₹ 500 payable at the end of each year for 7 years at 7% per year compounded annually. [(1.07)7 = 1.6058]

Miscellaneous Problems | Q 3. (ii) | Page 173

Calculate the amount of an ordinary annuity of ₹ 10,000 payable at the end of each half-year for 5 years at 10% per year compounded half-yearly. [(1.05)10 = 1.6289]

Miscellaneous Problems | Q 3. (iii) | Page 173

Find the amount of an ordinary annuity of ₹ 600 is made at the end of every quarter for 10 years at the rate of 4% per year compounded quarterly. [(1.01)40 = 1.4889]

Miscellaneous Problems | Q 3. (iv) | Page 173

Find the amount of an annuity of ₹ 2000 payable at the end of every month for 5 years if money is worth 6% per annum compounded monthly. [(1.005)60 = 1.3489]

Miscellaneous Problems | Q 4 | Page 179

Naveen deposits ₹ 250 at the end of each month in an account that pays an interest of 6% per annum compounded monthly, how many months will be required for the deposit to amount to at least ₹ 6390? [log(1.1278) = 0.0523, log(1.005) = 0.0022]

Miscellaneous Problems | Q 5 | Page 173

A cash prize of ₹ 1,500 is given to the student standing first in examination of Business Mathematics by a person every year. Find out the sum that the person has to deposit to meet this expense. Rate of interest is 12% p.a.

Miscellaneous Problems | Q 6 | Page 173

Machine A costs ₹ 15,000 and machine B costs ₹ 20,000. The annual income from A and B are ₹ 4,000 and ₹ 7,000 respectively. Machine A has a life of 4 years and B has a life of 7 years. Find which machine may be purchased. (Assume discount rate 8% p.a) [(1.08)–4 = 0.7350, (1.08)–7 = 0.5835]

Miscellaneous Problems | Q 7 | Page 173

Vijay wants to invest ₹ 27,000 in buying shares. The shares of the following companies are available to him. ₹ 100 shares of company A at par value; ₹ 100 shares of company B at a premium of ₹ 25; ₹ 100 shares of company C at a discount of ₹ 10; ₹ 50 shares of company D at a premium of 20%. Find how many shares will he get if he buys shares of

  1. Company A
  2. Company B
  3. Company C
  4. Company D
Miscellaneous Problems | Q 8 | Page 174

Gopal invested ₹ 8,000 in 7% of ₹ 100 shares at ₹ 80. After a year he sold these shares at ₹ 75 each and invested the proceeds (including his dividend) in 18% for ₹ 25 shares at ₹ 41. Find

  1. his dividend for the first year
  2. his annual income in the second year
  3. The percentage increase in his return on his original investment
Miscellaneous Problems | Q 9 | Page 174

A man sells 2000 ordinary shares (par value ₹ 10) of a tea company which pays a dividend of 25% at ₹ 33 per share. He invests the proceeds in cotton textiles (par value ₹ 25) ordinary shares at ₹ 44 per share which pays a dividend of 15%. Find

  1. the number of cotton textiles shares purchased and
  2. change in his dividend income.
Miscellaneous Problems | Q 10 | Page 174

The capital of a company is made up of 50,000 preferences shares with a dividend of 16% and 25,000 ordinary shares. The par value of each of preference and ordinary shares is ₹ 10. The company had a total profit of ₹ 1,60,000. If ₹ 20,000 were kept in reserve and ₹ 10,000 in depreciation, what percent of dividend is paid to the ordinary shareholders.

Chapter 7: Financial Mathematics

Exercise 7.1Exercise 7.2Exercise 7.3Miscellaneous Problems
Class 11th Business Mathematics and Statistics Answers Guide - Shaalaa.com

Tamil Nadu Board Samacheer Kalvi solutions for Class 11th Business Mathematics and Statistics Answers Guide chapter 7 - Financial Mathematics

Tamil Nadu Board Samacheer Kalvi solutions for Class 11th Business Mathematics and Statistics Answers Guide chapter 7 (Financial Mathematics) include all questions with solution and detail explanation. This will clear students doubts about any question and improve application skills while preparing for board exams. The detailed, step-by-step solutions will help you understand the concepts better and clear your confusions, if any. Shaalaa.com has the Tamil Nadu Board of Secondary Education Class 11th Business Mathematics and Statistics Answers Guide solutions in a manner that help students grasp basic concepts better and faster.

Further, we at Shaalaa.com provide such solutions so that students can prepare for written exams. Tamil Nadu Board Samacheer Kalvi textbook solutions can be a core help for self-study and acts as a perfect self-help guidance for students.

Concepts covered in Class 11th Business Mathematics and Statistics Answers Guide chapter 7 Financial Mathematics are Annuities, Stocks, Shares, Debentures and Brokerage.

Using Tamil Nadu Board Samacheer Kalvi Class 11th solutions Financial Mathematics exercise by students are an easy way to prepare for the exams, as they involve solutions arranged chapter-wise also page wise. The questions involved in Tamil Nadu Board Samacheer Kalvi Solutions are important questions that can be asked in the final exam. Maximum students of Tamil Nadu Board of Secondary Education Class 11th prefer Tamil Nadu Board Samacheer Kalvi Textbook Solutions to score more in exam.

Get the free view of chapter 7 Financial Mathematics Class 11th extra questions for Class 11th Business Mathematics and Statistics Answers Guide and can use Shaalaa.com to keep it handy for your exam preparation

Advertisement Remove all ads
Share
Notifications

View all notifications


      Forgot password?
View in app×