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11th Business Maths Monthly Test - 2 ( Financial Mathematics )

MABS Institution

11th Business Maths Monthly Test - 2 ( Financial Mathematics )-Aug 2020

Time : 2.30 Hours

Part - A

Multiple Choice Question - Answer All Question

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

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

1600
1000
1500
800

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

Rs 20,000
Rs 25,000
Rs 24,000
Rs 30,000

Example of contingent annuity is

Life insurance premium
An endowment fund to give scholarships to a student
Personal loan from a bank
All the above

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

3500
4500
2500
300

The Income on 7 % stock at 80 is

9%
8.75%
8%
7%

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

Rs 80
Rs 115.20
Rs 120
Rs 125.40

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

Rs 9000
Rs 6000
Rs 5000
Rs 4000

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

Rs 2,40,000
Rs 6,00,000
20,40,000
Rs 2,00,400

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

Rs 60,000
Rs 50,000
Rs 10,000
Rs 80,000

Part - B

Generic 2 - Answer All Question

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

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

If the dividend received from 9% of Rs 20 shares is Rs 1,620, find the number of shares.
A cash prize of Rs 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

A limited company wants to create a fund to help their employees in critical circumstances. The estimated expenses per month is Rs 18,000. Find the amount to be deposited by the company if the rate of compound interest is 15%.

Find the present value of Rs 2,000 per annum for 14 years at the rate of interest of 10% per annum. [ (1.1)^–14 = 0.2632]

If the dividend received from 10% of Rs 25 shares is Rs 2000. Find the number of shares.

Part - C

Generic 3 - Answer All Question

Calculate the amount of an ordinary annuity of Rs 10,000 per annum for 5 years at 10% per year compounded half-yearly.

A person deposits Rs 4,000 in the beginning of every year. If the rate of compound interest is 14% then, find the amount after 10 years. [(1.14)¹⁰ = 3.707]

Find the amount of 8% stock that will give an annual income of Rs.80

Sundar bought 4,500 of Rs 10 shares, paying 2% per annum. He sold them when the price rose to Rs 23 and invested the proceeds in Rs 25 shares paying 10% per annum at Rs 18. Find the change in his income.

A man invest Rs 96,000 on Rs 100 shares at Rs 80. If the company pays him 18% dividend, find
(i) the number of shares he buys
(ii) his total dividend
(iii) his percentage return on the shares.
A man bought 6% stock of Rs.12,000 at 92 and sold it when the rise to 96.Find his gain.

A person deposits Rs 2,000 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 = 3.3266]

Part - D

Generic 5 - Answer All Question

A man, deposits Rs.75 at the end of 6 months in a bank which pays interest at 8% compounded semiannually. How much is to his credit at the end of 10 years?

Machine A costs Rs15,000 and machine B costs Rs 20,000. The annual income from A and B are Rs 4,000 and Rs 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

A man sells 2000 ordinary shares (par value Rs 10) of a tea company which pays a dividend of 25% at Rs 33 per share. He invests the proceeds in cotton textiles (par value Rs 25) ordinary shares at `44 per share which pays a dividend of 15%. Find
(i) the number of cotton textiles shares purchased and
(ii) change in his dividend income.

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

The capital of a company is made up of 50,000 preferences shares with a dividend of 16% and 2,500 ordinary shares. The par value of each of preference and ordinary shares is Rs 10. The company had a total profit of Rs. 1,60,000. If Rs 20,000 were kept in reserve and Rs 10,000 in depreciation, what percent of dividend is paid to the ordinary share holders

Kamal sold Rs.9000 worth 7% stock at 80 and invested the proceeds in 15% stock at 120. Find the change in his income?

a bank pays 8% interest compounded quarterly. Determine the equal deposits to be made at the end of each quarter for 3 years so as to receive Rs.300 at the end of 3 years.

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