Tamilnadu State Board New Syllabus Samcheer Kalvi 11th Business Maths Guide Pdf Chapter 7 Financial Mathematics Ex 7.3 Text Book Back Questions and Answers, Notes.

## Tamilnadu Samacheer Kalvi 11th Business Maths Solutions Chapter 7 Financial Mathematics Ex 7.3

### Samacheer Kalvi 11th Business Maths Financial Mathematics Ex 7.3 Text Book Back Questions and Answers

Choose the correct answer.

Question 1.

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

(a) 1600

(b) 1000

(c) 1500

(d) 800

Answer:

(a) 1600

Hint:

Dividend = 200 × 100 × \(\frac{8}{100}\) = 1600

Question 2.

What is the amount related is selling 8% stacking 200 shares of face value 100 at 50?

(a) 16,000

(b) 10,000

(c) 7,000

(d) 9,000

Answer:

(b) 10,000

Hint:

Amount = 200 × 50 = 10000

Question 3.

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

(a) ₹ 20,000

(b) ₹ 25,000

(c) ₹ 22,000

(d) ₹ 30,000

Hint:

Investment = Number of shares × Market value

= \(\frac{20000}{100}\) × 120

= 24000

Question 4.

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

(a) 3500

(b) 4500

(c) 2500

(d) 300

Answer:

(c) 2500

Question 5.

The brokerage paid by a person on this sale of 400 shares of face value ₹ 100 at 1% brokerage:

(a) ₹ 600

(b) ₹ 500

(c) ₹ 200

(d) ₹ 400

Answer:

(d) ₹ 400

Hint:

Brokerage = 400 × 100 × \(\frac{1}{100}\) = ₹ 400

Question 6.

Market price of one share of face value 100 available at a discount of 9½ % with brokerage ½% is:

(a) ₹ 89

(b) ₹ 90

(c) ₹ 91

(d) ₹ 95

Answer:

(c) ₹ 91

Hint:

Market price = Face value – Discount + Brokerage

= 100 – 9½

= 100 – \(\frac{18}{2}\)

= 100 – 9

= ₹ 91

Question 7.

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

(a) ₹ 9000

(b) ₹ 6000

(c) ₹ 5000

(d) ₹ 4000

Answer:

(a) ₹ 9000

Hint:

Face value = ₹ 100

Discount = 10%

Market price of a share = 100 – 10 = 90

Number of share = 100

Stock purchased = 100 × 90 = ₹ 9000

Question 8.

The Income on 7 % stock at 80 is:

(a) 9%

(b) 8.75%

(c) 8%

(d) 7%

Answer:

(b) 8.75%

Hint:

Income = \(\frac{7}{80}\) × 100

= 0.0875 × 100

= 8.75%

Question 9.

The annual income on 500 shares of face value 100 at 15% is:

(a) ₹ 7500

(b) ₹ 5000

(c) ₹ 8000

(d) ₹ 8500

Answer:

(a) ₹ 7500

Hint:

Income = \(\frac{n \times r \times F . V}{100}\)

= 500 × \(\frac{15}{100}\) × 100

= ₹ 7500

Question 10.

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

(a) ₹ 60,000

(b) ₹ 50,000

(c) ₹ 10,000

(d) ₹ 80,000

Answer:

(b) ₹ 50,000

Hint:

Question 11.

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

(a) A = \(\frac{a}{i}\) (1 + i) [(1 + i)^{n} – 1]

(b) A = \(\frac{a}{i}\) [(1 + i)^{n} – 1]

(c) P = \(\frac{a}{i}\)

(d) P = \(\frac{a}{i}\) (1 + i) [1 – (1 + i)^{-n}]

Answer:

(b) A = \(\frac{a}{i}\) [(1 + i)^{n} – 1]

Question 12.

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:

(a) ₹ 80

(b) ₹ 115.20

(c) ₹ 120

(d) ₹ 125.40

Answer:

(a) ₹ 80

Hint:

Let x be B stock worth.

Then x × \(\frac{12}{100}\) = \(\frac{10}{100}\) × 96

x × 12 = 10 × 96

x = 80

Question 13.

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

(a) Annuity due

(b) An immediate annuity

(c) perpetual annuity

(d) none of these

Answer:

Annuity due

Question 14.

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

(a) ₹ 2,40,000

(b) ₹ 6,00,000

(c) ₹ 20,40,000

(d) ₹ 2,00,400

Answer:

(a) ₹ 2,40,000

Hint:

Question 15.

An example of a contingent annuity is:

(a) Life insurance premium

(b) An endowment fund to give scholarships to a student

(c) Personal loan from a bank

(d) All the above

Answer:

(b) An endowment fund to give scholarships to a student